Geo X Midterm Exam Review Packet - tesd.net X... · Geo X Midterm Exam Review Packet Multiple Choice Identify the choice that best completes the statement or answers the question.

Name: ________________________ Class: ___________________ Date: __________ ID: A

1

Geo X Midterm Exam Review Packet

Multiple ChoiceIdentify the choice that best completes the statement or answers the question.

____ 1. Name a fourth point in plane TUW.

a. Y b. Z c. W d. X

____ 2. Name the ray in the figure.

a. BA→

b. AB→←

c. BA d. AB→

____ 3. Find AC.

a. 14 b. 15 c. 12 d. 4

____ 4. If EF = 2x − 12, FG = 3x − 15, andEG = 23, find the values of x, EF, and FG. The drawing is not to scale.

a. x = 10, EF = 8, FG = 15 c. x = 10, EF = 32, FG = 45b. x = 3, EF = –6, FG = –6 d. x = 3, EF = 8, FG = 15

____ 5. If T is the midpoint of SU, find the values of x and ST. The diagram is not to scale.

a. x = 5, ST = 45 c. x = 10, ST = 60b. x = 5, ST = 60 d. x = 10, ST = 45

Name: ________________________ ID: A

1

____ 6. If m∠BOC= 27 and m∠AOC= 47, then what is the measure of ∠AOB? The diagram is not to scale.

a. 74 b. 40 c. 20 d. 54

____ 7. If m∠DEF = 122, then what are m∠FEG and m∠HEG? The diagram is not to scale.

a. m∠FEG = 122, m∠HEG = 58 c. m∠FEG = 68, m∠HEG = 122b. m∠FEG = 58, m∠HEG = 132 d. m∠FEG = 58, m∠HEG = 122

____ 8. Name an angle supplementary to ∠EOD.

a. ∠BOC b. ∠BOE c. ∠DOC d. ∠BOA

____ 9. Supplementary angles are two angles whose measures have sum ____.Complementary angles are two angles whose measures have sum ____.a. 90; 180 b. 90; 45 c. 180; 360 d. 180; 90

Name: ________________________ ID: A

3

____ 10. The complement of an angle is 25°. What is the measure of the angle?a. 75° b. 155° c. 65° d. 165°

____ 11. ∠DFG and ∠JKL are complementary angles. m∠DFG = x + 5, and m∠JKL = x − 9. Find the measure of each angle.a. ∠DFG = 47, ∠JKL = 53 c. ∠DFG = 52, ∠JKL = 48b. ∠DFG = 47, ∠JKL = 43 d. ∠DFG = 52, ∠JKL = 38

____ 12. ∠1 and ∠2 are supplementary angles. m∠1 = x − 39, and m∠2 = x + 61. Find the measure of each angle.a. ∠1 = 79, ∠2 = 101 c. ∠1 = 40, ∠2 = 150b. ∠1 = 40, ∠2 = 140 d. ∠1 = 79, ∠2 = 111

____ 13. MO→

bisects ∠LMN, m∠LMO = 8x − 23, and m∠NMO = 2x + 37. Solve for x and find m∠LMN. The diagram is not to scale.

a. x = 9, m∠LMN = 98 c. x = 10, m∠LMN = 114b. x = 9, m∠LMN = 49 d. x = 10, m∠LMN = 57

____ 14. Find the circumference of the circle in terms of π.

a. 156π in. b. 39π in. c. 1521π in. d. 78π in.

Name: ________________________ ID: A

4

____ 15. Find the area of the circle in terms of π.

a. 30π in.2 b. 900π in.2 c. 60π in.2 d. 225π in.2

____ 16. The figure is formed from rectangles. Find the total area. The diagram is not to scale.

a. 104 ft 2 b. 36 ft 2 c. 80 ft 2 d. 68 ft 2

____ 17. If the perimeter of a square is 72 inches, what is its area?

a. 72 in.2 b. 324 in.2 c. 18 in.2 d. 5,184 in.2

____ 18. Name the Property of Equality that justifies the statement:If p = q, then p − r = q − r.a. Reflexive Property c. Symmetric Propertyb. Multiplication Property d. Subtraction Property

____ 19. Name the Property of Congruence that justifies the statement:

If XY ≅ WX, thenWX ≅ XY.a. Symmetric Property c. Reflexive Propertyb. Transitive Property d. none of these

____ 20. Name the Property of Congruence that justifies the statement:If ∠A ≅ ∠B and∠B ≅ ∠C, then∠A ≅ ∠C.a. Transitive Property c. Reflexive Propertyb. Symmetric Property d. none of these

Name: ________________________ ID: A

5

Use the given property to complete the statement.

____ 21. Transitive Property of Congruence

If CD ≅ EF andEF ≅ GH , then ______.

a. EF ≅ GH c. CD ≅ GH

b. EF ≅ EF d. CD ≅ EF

____ 22. Find the value of x.

a. –19 b. 125 c. 19 d. 55

____ 23. m∠3 = 37. Find m∠1.

a. 37 b. 143 c. 27 d. 153

Name: ________________________ ID: A

6

____ 24. Find the values of x and y.

a. x = 15, y = 17 c. x = 68, y = 112b. x = 112, y = 68 d. x = 17, y = 15

____ 25. Which angles are corresponding angles?

a. ∠8and∠16 c. ∠4and∠8b. ∠7and∠8 d. none of these

____ 26. Line r is parallel to line t. Find m∠5. The diagram is not to scale.

a. 45 b. 35 c. 135 d. 145

Name: ________________________ ID: A

7

____ 27. Find the value of the variable if m Ä l, m∠1 = 2x + 44 and m∠5 = 5x + 38. The diagram is not to scale.

a. 1 b. 2 c. 3 d. –2

____ 28. Complete the statement. If a transversal intersects two parallel lines, then ____.a. corresponding angles are supplementaryb. same-side interior angles are complementaryc. alternate interior angles are congruentd. none of these

____ 29. Complete the statement. If a transversal intersects two parallel lines, then ____ angles are supplementary.a. acute c. same-side interiorb. alternate interior d. corresponding

____ 30. Which lines, if any, can you conclude are parallel given that m∠1 + m∠2 = 180? Justify your conclusion with a theorem or postulate.

a. j Ä k , by the Converse of the Same-Side Interior Angles Theoremb. j Ä k , by the Converse of the Alternate Interior Angles Theoremc. g Ä h, by the Converse of the Alternate Interior Angles Theoremd. g Ä h, by the Converse of the Same-Side Interior Angles Theorem

Name: ________________________ ID: A

8

____ 31. m∠1 = 6x andm∠3 = 120. Find the value of x for p to be parallel to q. The diagram is not to scale.

a. 114 b. 126 c. 120 d. 20

____ 32. If c ⊥ b and a Ä c, what is m∠2?

a. 90 c. 74b. 106 d. not enough information

____ 33. Find the value of k. The diagram is not to scale.

a. 17 b. 73 c. 118 d. 107

Name: ________________________ ID: A

9

____ 34. Find the values of x, y, and z. The diagram is not to scale.

a. x = 86, y = 94, z = 67 c. x = 67, y = 94, z = 86b. x = 67, y = 86, z = 94 d. x = 86, y = 67, z = 94

____ 35. Classify the triangle by its sides. The diagram is not to scale.

a. straight b. scalene c. isosceles d. equilateral

____ 36. Classify ∆ABC by its angles, when m∠A = 32, m∠B = 85, and m∠C = 63.a. right b. straight c. obtuse d. acute

____ 37. Find the value of x. The diagram is not to scale.

a. 33 b. 162 c. 147 d. 75

Name: ________________________ ID: A

10

____ 38. Find the value of the variable. The diagram is not to scale.

a. 66 b. 19 c. 29 d. 43

____ 39. How many sides does a regular polygon have if each exterior angle measures 20?a. 17 sides b. 20 sides c. 21 sides d. 18 sides

____ 40. The sum of the measures of two exterior angles of a triangle is 255. What is the measure of the third exterior angle?a. 75 b. 115 c. 105 d. 95

____ 41. Use less than, equal to, or greater than to complete the statement. The measure of each exterior angle of a regular 7-gon is ____ the measure of each exterior angle of a regular 5-gon.a. cannot tell b. equal to c. less than d. greater than

____ 42. The Polygon Angle-Sum Theorem states: The sum of the measures of the angles of an n-gon is ____.

a. n − 2180

b. (n − 1)180 c. 180n − 1

d. (n − 2)180

____ 43. Complete this statement. The sum of the measures of the exterior angles of an n-gon, one at each vertex, is ____.

a. (n – 2)180 b. 360 c.(n − 2)180

nd. 180n

Name: ________________________ ID: A

11

____ 44. Justify the last two steps of the proof.

Given: RS ≅ UT and RT ≅ USProve: ∆RST≅ ∆UTS

Proof:

1. RS ≅ UT 1. Given

2. RT ≅ US 2. Given

3. ST ≅ TS 3. ?

4. ∆RST≅ ∆UTS 4. ?

a. Symmetric Property of ≅; SSS c. Reflexive Property of ≅; SSSb. Reflexive Property of ≅; SAS d. Symmetric Property of ≅; SAS

____ 45. In each pair of triangles, parts are congruent as marked. Which pair of triangles is congruent by ASA?a. c.

b. d.

Name: ________________________ ID: A

12

____ 46. From the information in the diagram, can you prove ∆FDG ≅ ∆FDB? Explain.

a. yes, by ASA c. yes, by SASb. yes, by AAA d. no

____ 47. Based on the given information, what can you conclude, and why?

Given: ∠H ≅ ∠L, HJ ≅ JL

a. ∆HIJ ≅ ∆LKJ by ASA c. ∆HIJ ≅ ∆JLK by ASAb. ∆HIJ ≅ ∆JLK by SAS d. ∆HIJ ≅ ∆LKJ by SAS

____ 48. Name the theorem or postulate that lets you immediately conclude ∆ABD ≅ ∆CBD.

a. SAS b. ASA c. AAS d. none of these

Name: ________________________ ID: A

13

____ 49. Supply the missing reasons to complete the proof.

Given: ∠Q ≅ ∠T and QR≅ TR

Prove: PR ≅ SR

Statement Reasons

1. ∠Q ≅ ∠T and

QR ≅ TR1. Given

2. ∠PRQ ≅ ∠SRT 2. Vertical angles are congruent.

3. ∆PRQ ≅ ∆SRT 3. ?

4.PR ≅ SR 4. ?

a. ASA; Substitution c. AAS; CPCTCb. SAS; CPCTC d. ASA; CPCTC

____ 50. What is the measure of a base angle of an isosceles triangle if the vertex angle measures 38° and the two congruent sides each measure 21 units?

a. 71° b. 142° c. 152° d. 76°

____ 51. What is the measure of the vertex angle of an isosceles triangle if one of its base angles measures 42°?a. 69° b. 84° c. 138° d. 96°

Name: ________________________ ID: A

14

____ 52. Find the value of x. The diagram is not to scale.

a. 32 b. 50 c. 64 d. 80

____ 53. Find the value of x.

a. 4 b. 8 c. 6.6 d. 6

____ 54. Q is equidistant from the sides of ∠TSR. Find the value of x. The diagram is not to scale.

a. 27 b. 3 c. 15 d. 30

Name: ________________________ ID: A

15

____ 55. What is the name of the segment inside the large triangle?

a. perpendicular bisector c. medianb. altitude d. midsegment

____ 56. Name the smallest angle of ∆ABC. The diagram is not to scale.

a. ∠Ab. ∠Cc. Two angles are the same size and smaller than the third.d. ∠B

____ 57. Which three lengths could be the lengths of the sides of a triangle?a. 12 cm, 5 cm, 17 cm c. 9 cm, 22 cm, 11 cmb. 10 cm, 15 cm, 24 cm d. 21 cm, 7 cm, 6 cm

____ 58. ABCD is a parallelogram. If m∠CDA = 66, then m∠BCD = ? . The diagram is not to scale.

a. 66 b. 124 c. 114 d. 132

Name: ________________________ ID: A

16

____ 59. LMNO is a parallelogram. If NM = x + 15 and OL = 3x + 5 find the value of x and then find NM and OL.

a. x = 7, NM = 20, OL = 22 c. x = 7, NM = 22, OL = 22b. x = 5, NM = 20, OL = 20 d. x = 5, NM = 22, OL = 20

____ 60. Find the values of the variables in the parallelogram. The diagram is not to scale.

a. x = 49, y = 29, z = 102 c. x = 49, y = 49, z = 131b. x = 29, y = 49, z = 131 d. x = 29, y = 49, z = 102

____ 61. Based on the information given, can you determine that the quadrilateral must be a parallelogram? Explain.

Given: XY ≅ WZ and XW ≅ YZ

a. No; you cannot determine that the quadrilateral is a parallelogram.b. Yes; two opposite sides are both parallel and congruent.c. Yes; opposite sides are congruent.d. Yes; diagonals of a parallelogram bisect each other.

Name: ________________________ ID: A

17

____ 62. Find the values of a and b.The diagram is not to scale.

a. a = 144, b = 67 c. a = 113, b = 67b. a = 144, b = 36 d. a = 113, b = 36

____ 63. Find m∠1 andm∠3 in the kite. The diagram is not to scale.

a. 51, 51 b. 39, 39 c. 39, 51 d. 51, 39

____ 64. Which description does NOT guarantee that a trapezoid is isoscles?a. congruent diagonals b. both pairs of base angles congruent c. congruent basesd. congruent legs

____ 65. The two rectangles are similar. Which is a correct proportion for corresponding sides?

a.12

8=

x

4b.

12

4=

x

8c.

12

4=

x

20d.

4

12=

x

8

Name: ________________________ ID: A

18

____ 66. ∆QRS ∼ ∆TUV. What is the measure of ∠V?

a. 70° b. 110° c. 250° d. 35°

State whether the triangles are similar. If so, write a similarity statement and the postulate or theorem you used.

____ 67.

a. ∆ABC ∼ ∆MNO; SSS c. ∆ABC ∼ ∆MNO; AAb. ∆ABC ∼ ∆MNO; SAS d. The triangles are not similar.

____ 68. A triangle has side lengths of 10 cm, 24 cm, and 30 cm. Classify it as acute, obtuse, or right.a. acute b. right c. obtuse

Name: ________________________ ID: A

19

Find the slope of the line.

____ 69.

a. −14

b.14

c. −4 d. 4

Find the slope of the line that passes through the pair of points.

____ 70. (1, 7), (10, 1)

a.32

b. −23

c. −32

d.23

Find the slope and y-intercept of the line.

____ 71. y = 43

x – 3

a. 3; 43

b. –3;43

c.34

; 3 d.43

; –3

____ 72. 14x + 4y = 24

a. −27

; 6 c. −72

; 16

b. −72

; 6 d.72

; −6

Write an equation of a line with the given slope and y-intercept.

____ 73. m = 1, b = 4a. y = 4x + 1 c. y = –1x + 4b. y = x – 4 d. y = x + 4

Name: ________________________ ID: A

20

Write the slope-intercept form of the equation for the line.

____ 74.

a. y = 3x − 1 c. y = 13

x + 1

b. y = −3x − 1 d. y = 13

x − 1

Name: ________________________ ID: A

21

____ 75. Use the slope and y-intercept to graph the equation.

y = 34

x – 3

a. c.

b. d.

Find the x- and y-intercept of the line.

____ 76. 2x + 3y = –18a. x-intercept is 18; y-intercept is 18. c. x-intercept is 2; y-intercept is 3.b. x-intercept is –6; y-intercept is –9. d. x-intercept is –9; y-intercept is –6.

Name: ________________________ ID: A

22

Match the equation with its graph.

____ 77. –7x + 7y = –49a. c.

b. d.

____ 78. Write y = 23

x + 7 in standard form using integers.

a. –2x + 3y = 21 c. –2x – 3y = 21b. 3x – 2y = 21 d. –2x + 3y = 7

Name: ________________________ ID: A

23

Write an equation in point-slope form for the line through the given point with the given slope.

____ 79. (4, –6); m = 35

a. y + 6 = 35

x − 4 c. y + 6 = 35

(x − 4)

b. y − 6 = 35

(x + 4) d. y − 4 = 35

(x + 6)

____ 80. A line passes through (1, –5) and (–3, 7).a. Write an equation for the line in point-slope form.b. Rewrite the equation in slope-intercept form.

a. y – 5 = 3(x + 1); y = 3x + 8 c. y − 5 = 13

(x + 1); y = 13

x + 163

b. y − 1 = 13

(x + 5); y = 13

x + 83

; d. y + 5 = –3(x – 1); y = –3x – 2

Write an equation for the line that is parallel to the given line and that passes through the given point.

____ 81. y = –5x + 3; (–6, 3)a. y = –5x + 27 c. y = 5x – 9b. y = –5x – 27 d. y = –5x + 9

Tell whether the lines for each pair of equations are parallel, perpendicular, or neither.

____ 82. 7x – 4y = 4x – 4y = 3a. perpendicular b. parallel c. neither

Write the equation of a line that is perpendicular to the given line and that passes through the given point.

____ 83. y = 23

x + 9; (–6, 5)

a. y = −23

x + 1 c. y = 23

x + 9

b. y = −32

x + 32

d. y = −32

x − 4

Name: ________________________ ID: A

24

____ 84. Which statement can you conclude is true from the given information?

Given: AB→←

is the perpendicular bisector of IK .

a. AJ = BJ c. IJ = JK

b. ∠IAJ is a right angle. d. A is the midpoint of IK .

____ 85. Find the length of AB, given that DB is a median of the triangle and AC = 26.

a. 13 c. 52b. 26 d. not enough information

Name: ________________________ ID: A

25

Short Answer

86. State the missing reasons in this proof.

Given: ∠1 ≅ ∠5Prove: p Ä r

Statements Reasons

1.∠1 ≅ ∠5

2.∠4 ≅ ∠1

3.∠4 ≅ ∠5

4.p Ä r

Given

a.____

b.____

c.____

87. Find the measure of each interior and exterior angle. The diagram is not to scale.

88. Find the measures of an interior angle and an exterior angle of a regular polygon with 6 sides.

89. Isosceles trapezoid ABCD has legs AB and CD, and base BC. If AB = 4y – 3, BC = 3y – 4, and CD = 5y – 10, find the value of y.

Name: ________________________ ID: A

26

90. Give the name that best describes the parallelogram and find the measures of the numbered angles. The diagram is not to scale.

Essay

91. Write a two-column proof.

Given: ∠2 and∠5 are supplementary.Prove: l Ä m

Name: ________________________ ID: A

27

92. Find the values of the variables. Show your work and explain your steps. The diagram is not to scale.

93. Write a two-column proof.

Given: BC ≅ EC and AC ≅ DC

Prove: BA ≅ ED

Other

94. Give a convincing argument that quadrilateral ABCD with A(–3, –4), B(0, –2), C(6, –2), and D(3, –4) is a parallelogram.

95. In the coordinate plane, draw quadrilateral ABCD with A(–5, 0), B(2, –6), C(8, 1), and D(1, 7).Then demonstrate that ABCD is a rectangle.

ID: A

1

Geo X Midterm Exam Review PacketAnswer Section

MULTIPLE CHOICE

1. ANS: B PTS: 1 DIF: L3 REF: 1-3 Points, Lines, and PlanesOBJ: 1-3.2 Basic Postulates of Geometry NAT: NAEP 2005 G1c | ADP K.1.1TOP: 1-4 Example 4 KEY: point | plane

2. ANS: A PTS: 1 DIF: L2 REF: 1-4 Segments, Rays, Parallel Lines and Planes OBJ: 1-4.1 Identifying Segments and Rays NAT: NAEP 2005 G3gTOP: 1-4 Example 1 KEY: ray

3. ANS: C PTS: 1 DIF: L2 REF: 1-5 Measuring SegmentsOBJ: 1-5.1 Finding Segment Lengths NAT: NAEP 2005 M1e | NAEP 2005 M1f | ADP I.2.1TOP: 1-5 Example 1 KEY: segment | segment length

4. ANS: A PTS: 1 DIF: L2 REF: 1-5 Measuring SegmentsOBJ: 1-5.1 Finding Segment Lengths NAT: NAEP 2005 M1e | NAEP 2005 M1f | ADP I.2.1TOP: 1-5 Example 2 KEY: segment | segment length

5. ANS: A PTS: 1 DIF: L2 REF: 1-5 Measuring SegmentsOBJ: 1-5.1 Finding Segment Lengths NAT: NAEP 2005 M1e | NAEP 2005 M1f | ADP I.2.1TOP: 1-5 Example 3 KEY: segment | segment length | midpoint | multi-part question

6. ANS: C PTS: 1 DIF: L2 REF: 1-6 Measuring AnglesOBJ: 1-6.1 Finding Angle Measures NAT: NAEP 2005 M1e | NAEP 2005 M1f | NAEP 2005 G3gSTA: PA 2.3.B TOP: 1-6 Example 3 KEY: Angle Addition Postulate

7. ANS: D PTS: 1 DIF: L2 REF: 1-6 Measuring AnglesOBJ: 1-6.1 Finding Angle Measures NAT: NAEP 2005 M1e | NAEP 2005 M1f | NAEP 2005 G3gSTA: PA 2.3.B TOP: 1-6 Example 3 KEY: Angle Addition Postulate

8. ANS: C PTS: 1 DIF: L2 REF: 1-6 Measuring AnglesOBJ: 1-6.2 Identifying Angle Pairs NAT: NAEP 2005 M1e | NAEP 2005 M1f | NAEP 2005 G3gSTA: PA 2.3.B TOP: 1-6 Example 4 KEY: supplementary angles

9. ANS: D PTS: 1 DIF: L2 REF: 1-6 Measuring AnglesOBJ: 1-6.2 Identifying Angle Pairs NAT: NAEP 2005 M1e | NAEP 2005 M1f | NAEP 2005 G3gSTA: PA 2.3.B TOP: 1-6 Example 4 KEY: supplementary angles | complementary angles

10. ANS: C PTS: 1 DIF: L2 REF: 1-6 Measuring AnglesOBJ: 1-6.2 Identifying Angle Pairs NAT: NAEP 2005 M1e | NAEP 2005 M1f | NAEP 2005 G3gSTA: PA 2.3.B TOP: 1-6 Example 4 KEY: complementary angles

11. ANS: D PTS: 1 DIF: L3 REF: 1-6 Measuring AnglesOBJ: 1-6.2 Identifying Angle Pairs NAT: NAEP 2005 M1e | NAEP 2005 M1f | NAEP 2005 G3gSTA: PA 2.3.B KEY: complementary angles

12. ANS: B PTS: 1 DIF: L3 REF: 1-6 Measuring AnglesOBJ: 1-6.2 Identifying Angle Pairs NAT: NAEP 2005 M1e | NAEP 2005 M1f | NAEP 2005 G3gSTA: PA 2.3.B KEY: supplementary angles

13. ANS: C PTS: 1 DIF: L2 REF: 1-7 Basic ConstructionsOBJ: 1-7.2 Constructing Bisectors NAT: NAEP 2005 G3b | ADP K.2.2 | ADP K.2.3STA: PA 2.3.B TOP: 1-7 Example 4 KEY: angle bisector

ID: A

2

14. ANS: D PTS: 1 DIF: L2 REF: 1-9 Perimeter, Circumference, and Area OBJ: 1-9.1 Finding Perimeter and Circumference NAT: NAEP 2005 M1c | NAEP 2005 M1h | ADP I.4.1 | ADP J.1.6 | ADP K.8.1 | ADP K.8.2STA: PA 2.5.A TOP: 1-9 Example 2 KEY: circle | circumference

15. ANS: D PTS: 1 DIF: L2 REF: 1-9 Perimeter, Circumference, and Area OBJ: 1-9.2 Finding AreaNAT: NAEP 2005 M1c | NAEP 2005 M1h | ADP I.4.1 | ADP J.1.6 | ADP K.8.1 | ADP K.8.2STA: PA 2.5.A TOP: 1-9 Example 5 KEY: area | circle

16. ANS: D PTS: 1 DIF: L2 REF: 1-9 Perimeter, Circumference, and Area OBJ: 1-9.2 Finding AreaNAT: NAEP 2005 M1c | NAEP 2005 M1h | ADP I.4.1 | ADP J.1.6 | ADP K.8.1 | ADP K.8.2STA: PA 2.5.A TOP: 1-9 Example 6 KEY: area | rectangle

17. ANS: B PTS: 1 DIF: L3 REF: 1-9 Perimeter, Circumference, and Area OBJ: 1-9.2 Finding AreaNAT: NAEP 2005 M1c | NAEP 2005 M1h | ADP I.4.1 | ADP J.1.6 | ADP K.8.1 | ADP K.8.2STA: PA 2.5.A KEY: area | square

18. ANS: D PTS: 1 DIF: L2 REF: 2-4 Reasoning in AlgebraOBJ: 2-4.1 Connecting Reasoning in Algebra and Geometry NAT: NAEP 2005 A2e | NAEP 2005 G5a | ADP J.3.1 TOP: 2-4 Example 3KEY: Properties of Equality

19. ANS: A PTS: 1 DIF: L2 REF: 2-4 Reasoning in AlgebraOBJ: 2-4.1 Connecting Reasoning in Algebra and Geometry NAT: NAEP 2005 A2e | NAEP 2005 G5a | ADP J.3.1 TOP: 2-4 Example 3KEY: Properties of Congruence

20. ANS: A PTS: 1 DIF: L2 REF: 2-4 Reasoning in AlgebraOBJ: 2-4.1 Connecting Reasoning in Algebra and Geometry NAT: NAEP 2005 A2e | NAEP 2005 G5a | ADP J.3.1 TOP: 2-4 Example 3KEY: Properties of Congruence

21. ANS: C PTS: 1 DIF: L3 REF: 2-4 Reasoning in AlgebraOBJ: 2-4.1 Connecting Reasoning in Algebra and Geometry NAT: NAEP 2005 A2e | NAEP 2005 G5a | ADP J.3.1 TOP: 2-4 Example 3KEY: Properties of Congruence

22. ANS: A PTS: 1 DIF: L2 REF: 2-5 Proving Angles CongruentOBJ: 2-5.1 Theorems About Angles NAT: NAEP 2005 G3g | ADP K.1.1TOP: 2-5 Example 1 KEY: vertical angles | Vertical Angles Theorem

23. ANS: A PTS: 1 DIF: L2 REF: 2-5 Proving Angles CongruentOBJ: 2-5.1 Theorems About Angles NAT: NAEP 2005 G3g | ADP K.1.1TOP: 2-5 Example 1 KEY: Vertical Angles Theorem | vertical angles

24. ANS: A PTS: 1 DIF: L2 REF: 2-5 Proving Angles CongruentOBJ: 2-5.1 Theorems About Angles NAT: NAEP 2005 G3g | ADP K.1.1TOP: 2-5 Example 1 KEY: Vertical Angles Theorem | vertical angles | supplementary angles | multi-part question

25. ANS: A PTS: 1 DIF: L2 REF: 3-1 Properties of Parallel LinesOBJ: 3-1.1 Identifying Angles NAT: NAEP 2005 M1f | ADP K.2.1TOP: 3-1 Example 1 KEY: corresponding angles | transversal | parallel lines

ID: A

3

26. ANS: C PTS: 1 DIF: L2 REF: 3-1 Properties of Parallel LinesOBJ: 3-1.2 Properties of Parallel Lines NAT: NAEP 2005 M1f | ADP K.2.1TOP: 3-1 Example 4 KEY: parallel lines | alternate interior angles

27. ANS: B PTS: 1 DIF: L2 REF: 3-1 Properties of Parallel LinesOBJ: 3-1.2 Properties of Parallel Lines NAT: NAEP 2005 M1f | ADP K.2.1TOP: 3-1 Example 5 KEY: corresponding angles | parallel lines |

28. ANS: C PTS: 1 DIF: L2 REF: 3-1 Properties of Parallel LinesOBJ: 3-1.2 Properties of Parallel Lines NAT: NAEP 2005 M1f | ADP K.2.1KEY: transversal | parallel lines

29. ANS: C PTS: 1 DIF: L2 REF: 3-1 Properties of Parallel LinesOBJ: 3-1.2 Properties of Parallel Lines NAT: NAEP 2005 M1f | ADP K.2.1KEY: transversal | parallel lines | supplementary angles

30. ANS: A PTS: 1 DIF: L2 REF: 3-2 Proving Lines ParallelOBJ: 3-2.1 Using a Transversal NAT: NAEP 2005 M1e | NAEP 2005 M1f | ADP K.2.3TOP: 3-2 Example 1 KEY: parallel lines | reasoning

31. ANS: D PTS: 1 DIF: L2 REF: 3-3 Parallel and Perpendicular Lines OBJ: 3-3.1 Relating Parallel and Perpendicular Lines NAT: NAEP 2005 M1e | NAEP 2005 M1f | ADP K.2.1 TOP: 3-3 Example 2KEY: parallel lines

32. ANS: A PTS: 1 DIF: L3 REF: 3-3 Parallel and Perpendicular Lines OBJ: 3-3.1 Relating Parallel and Perpendicular Lines NAT: NAEP 2005 M1e | NAEP 2005 M1f | ADP K.2.1 TOP: 3-3 Example 2KEY: parallel lines | perpendicular lines | transversal

33. ANS: B PTS: 1 DIF: L2 REF: 3-4 Parallel Lines and the Triangle Angle-Sum Theorem OBJ: 3-4.1 Finding Angle Measures in Triangles NAT: NAEP 2005 G3b | NAEP 2005 G3f | ADP J.5.1 | ADP K.1.2 TOP: 3-4 Example 1 KEY: triangle | sum of angles of a triangle

34. ANS: D PTS: 1 DIF: L2 REF: 3-4 Parallel Lines and the Triangle Angle-Sum Theorem OBJ: 3-4.1 Finding Angle Measures in Triangles NAT: NAEP 2005 G3b | NAEP 2005 G3f | ADP J.5.1 | ADP K.1.2 TOP: 3-4 Example 1 KEY: triangle | sum of angles of a triangle

35. ANS: D PTS: 1 DIF: L2 REF: 3-4 Parallel Lines and the Triangle Angle-Sum Theorem OBJ: 3-4.1 Finding Angle Measures in Triangles NAT: NAEP 2005 G3b | NAEP 2005 G3f | ADP J.5.1 | ADP K.1.2 TOP: 3-4 Example 2 KEY: acute triangle | triangle | classifying triangles | scalene | isosceles triangle | equilateral

36. ANS: D PTS: 1 DIF: L2 REF: 3-4 Parallel Lines and the Triangle Angle-Sum Theorem OBJ: 3-4.1 Finding Angle Measures in Triangles NAT: NAEP 2005 G3b | NAEP 2005 G3f | ADP J.5.1 | ADP K.1.2 TOP: 3-4 Example 2 KEY: triangle | classifying triangles | right triangle | obtuse triangle | acute triangle

ID: A

4

37. ANS: A PTS: 1 DIF: L2 REF: 3-4 Parallel Lines and the Triangle Angle-Sum Theorem OBJ: 3-4.2 Using Exterior Angles of Triangles NAT: NAEP 2005 G3b | NAEP 2005 G3f | ADP J.5.1 | ADP K.1.2 TOP: 3-4 Example 3 KEY: triangle | sum of angles of a triangle

38. ANS: B PTS: 1 DIF: L3 REF: 3-4 Parallel Lines and the Triangle Angle-Sum Theorem OBJ: 3-4.1 Finding Angle Measures in Triangles NAT: NAEP 2005 G3b | NAEP 2005 G3f | ADP J.5.1 | ADP K.1.2 KEY: triangle | sum of angles of a triangle | vertical angles

39. ANS: D PTS: 1 DIF: L2 REF: 3-5 The Polygon Angle-Sum Theorems OBJ: 3-5.2 Polygon Angle SumsNAT: NAEP 2005 G3b | NAEP 2005 G3f | ADP J.5.1 | ADP K.1.2 TOP: 3-5 Example 3 KEY: sum of angles of a polygon

40. ANS: C PTS: 1 DIF: L2 REF: 3-5 The Polygon Angle-Sum Theorems OBJ: 3-5.2 Polygon Angle SumsNAT: NAEP 2005 G3b | NAEP 2005 G3f | ADP J.5.1 | ADP K.1.2 KEY: angle | triangle | exterior angle | Polygon Angle-Sum Theorem

41. ANS: C PTS: 1 DIF: L3 REF: 3-5 The Polygon Angle-Sum Theorems OBJ: 3-5.2 Polygon Angle SumsNAT: NAEP 2005 G3b | NAEP 2005 G3f | ADP J.5.1 | ADP K.1.2 KEY: sum of angles of a polygon

42. ANS: D PTS: 1 DIF: L2 REF: 3-5 The Polygon Angle-Sum Theorems OBJ: 3-5.2 Polygon Angle SumsNAT: NAEP 2005 G3b | NAEP 2005 G3f | ADP J.5.1 | ADP K.1.2 KEY: Polygon Angle-Sum Theorem

43. ANS: B PTS: 1 DIF: L2 REF: 3-5 The Polygon Angle-Sum Theorems OBJ: 3-5.2 Polygon Angle SumsNAT: NAEP 2005 G3b | NAEP 2005 G3f | ADP J.5.1 | ADP K.1.2 KEY: Polygon Exterior Angle-Sum Theorem

44. ANS: C PTS: 1 DIF: L2 REF: 4-2 Triangle Congruence by SSS and SAS OBJ: 4-2.1 Using the SSS and SAS Postulates NAT: NAEP 2005 G2e | ADP K.3STA: PA 2.9.B TOP: 4-2 Example 1 KEY: SSS | reflexive property | proof

45. ANS: B PTS: 1 DIF: L2 REF: 4-3 Triangle Congruence by ASA and AAS OBJ: 4-3.1 Using the ASA Postulate and the AAS Theorem NAT: NAEP 2005 G2e | ADP K.3STA: PA 2.9.B TOP: 4-3 Example 1 KEY: ASA

46. ANS: A PTS: 1 DIF: L2 REF: 4-3 Triangle Congruence by ASA and AAS OBJ: 4-3.1 Using the ASA Postulate and the AAS Theorem NAT: NAEP 2005 G2e | ADP K.3STA: PA 2.9.B TOP: 4-3 Example 3 KEY: ASA | reasoning

47. ANS: A PTS: 1 DIF: L2 REF: 4-3 Triangle Congruence by ASA and AAS OBJ: 4-3.1 Using the ASA Postulate and the AAS Theorem NAT: NAEP 2005 G2e | ADP K.3STA: PA 2.9.B TOP: 4-3 Example 4 KEY: ASA | reasoning

ID: A

5

48. ANS: A PTS: 1 DIF: L2 REF: 4-3 Triangle Congruence by ASA and AAS OBJ: 4-3.1 Using the ASA Postulate and the AAS Theorem NAT: NAEP 2005 G2e | ADP K.3STA: PA 2.9.B TOP: 4-3 Example 3 KEY: ASA | AAS | SAS

49. ANS: D PTS: 1 DIF: L2 REF: 4-4 Using Congruent Triangles: CPCTC OBJ: 4-4.1 Proving Parts of Triangles Congruent NAT: NAEP 2005 G2e | ADP K.3STA: PA 2.9.B TOP: 4-4 Example 1 KEY: ASA | CPCTC | proof

50. ANS: A PTS: 1 DIF: L2 REF: 4-5 Isosceles and Equilateral Triangles OBJ: 4-5.1 The Isosceles Triangle Theorems NAT: NAEP 2005 G3f | ADP J.5.1 | ADP K.3 TOP: 4-5 Example 2KEY: isosceles triangle | Converse of Isosceles Triangle Theorem | Triangle Angle-Sum Theorem

51. ANS: D PTS: 1 DIF: L2 REF: 4-5 Isosceles and Equilateral Triangles OBJ: 4-5.1 The Isosceles Triangle Theorems NAT: NAEP 2005 G3f | ADP J.5.1 | ADP K.3 TOP: 4-5 Example 2KEY: isosceles triangle | Isosceles Triangle Theorem | Triangle Angle-Sum Theorem | word problem

52. ANS: C PTS: 1 DIF: L2 REF: 5-1 Midsegments of TrianglesOBJ: 5-1.1 Using Properties of Midsegments NAT: NAEP 2005 G3f | ADP K.1.2STA: PA 2.9.D TOP: 5-1 Example 1 KEY: midsegment | Triangle Midsegment Theorem

53. ANS: A PTS: 1 DIF: L3 REF: 5-1 Midsegments of TrianglesOBJ: 5-1.1 Using Properties of Midsegments NAT: NAEP 2005 G3f | ADP K.1.2KEY: midpoint | midsegment | Triangle Midsegment Theorem

54. ANS: B PTS: 1 DIF: L2 REF: 5-2 Bisectors in TrianglesOBJ: 5-2.1 Perpendicular Bisectors and Angle Bisectors NAT: NAEP 2005 G3b | ADP K.2.2TOP: 5-2 Example 2 KEY: angle bisector | Converse of the Angle Bisector Theorem

55. ANS: D PTS: 1 DIF: L2 REF: 5-3 Concurrent Lines, Medians, and Altitudes OBJ: 5-3.2 Medians and AltitudesNAT: NAEP 2005 G3b TOP: 5-3 Example 4 KEY: altitude of a triangle | angle bisector | perpendicular bisector | midsegment | median of a triangle

56. ANS: D PTS: 1 DIF: L2 REF: 5-5 Inequalities in TrianglesOBJ: 5-5.1 Inequalities Involving Angles of Triangles NAT: NAEP 2005 G3fTOP: 5-5 Example 2 KEY: Theorem 5-10

57. ANS: B PTS: 1 DIF: L2 REF: 5-5 Inequalities in TrianglesOBJ: 5-5.2 Inequalities Involving Sides of Triangles NAT: NAEP 2005 G3fTOP: 5-5 Example 4 KEY: Triangle Inequality Theorem

58. ANS: C PTS: 1 DIF: L2 REF: 6-2 Properties of ParallelogramsOBJ: 6-2.1 Properties: Sides and Angles NAT: NAEP 2005 G3f TOP: 6-2 Example 1 KEY: parallelogram | consectutive angles

59. ANS: B PTS: 1 DIF: L2 REF: 6-2 Properties of ParallelogramsOBJ: 6-2.1 Properties: Sides and Angles NAT: NAEP 2005 G3f STA: PA 2.9.C TOP: 6-2 Example 2 KEY: parallelogram | algebra | Theorem 6-1

60. ANS: D PTS: 1 DIF: L2 REF: 6-2 Properties of ParallelogramsOBJ: 6-2.1 Properties: Sides and Angles NAT: NAEP 2005 G3f STA: PA 2.9.C KEY: parallelogram | opposite angles | consectutive angles | transversal

ID: A

6

61. ANS: C PTS: 1 DIF: L2 REF: 6-3 Proving That a Quadrilateral is a Parallelogram OBJ: 6-3.1 Is the Quadrilateral a Parallelogram? NAT: NAEP 2005 G3fSTA: PA 2.9.C TOP: 6-3 Example 2 KEY: parallelogram | opposite sides | Theorem 6-7

62. ANS: A PTS: 1 DIF: L2 REF: 6-5 Trapezoids and KitesOBJ: 6-5.1 Properties of Trapezoids and Kites NAT: NAEP 2005 G3fSTA: PA 2.9.C TOP: 6-5 Example 1 KEY: trapezoid | base angles | Theorem 6-15

63. ANS: C PTS: 1 DIF: L2 REF: 6-5 Trapezoids and KitesOBJ: 6-5.1 Properties of Trapezoids and Kites NAT: NAEP 2005 G3fSTA: PA 2.9.C TOP: 6-5 Example 3 KEY: kite | Theorem 6-17 | diagonal

64. ANS: C PTS: 1 DIF: L4 REF: 6-5 Trapezoids and KitesOBJ: 6-5.1 Properties of Trapezoids and Kites NAT: NAEP 2005 G3fSTA: PA 2.9.C KEY: trapezoid | isosceles trapezoid | reasoning

65. ANS: B PTS: 1 DIF: L2 REF: 7-2 Similar PolygonsOBJ: 7-2.1 Similar Polygons NAT: NAEP 2005 G2e | NAEP 2005 M1k | ADP I.1.2 | ADP J.5.1 | ADP K.7STA: PA 2.9.B TOP: 7-2 Example 1 KEY: similar polygons | corresponding sides

66. ANS: A PTS: 1 DIF: L3 REF: 7-3 Proving Triangles SimilarOBJ: 7-3.1 The AA Postulate and the SAS and SSS Theorems NAT: NAEP 2005 G2e | ADP I.1.2 | ADP K.3 STA: PA 2.9.BTOP: 7-3 Example 1 KEY: Angle-Angle Similarity Postulate | corresponding angles

67. ANS: A PTS: 1 DIF: L2 REF: 7-3 Proving Triangles SimilarOBJ: 7-3.1 The AA Postulate and the SAS and SSS Theorems NAT: NAEP 2005 G2e | ADP I.1.2 | ADP K.3 STA: PA 2.9.BTOP: 7-3 Example 2 KEY: Side-Side-Side Similarity Theorem

68. ANS: C PTS: 1 DIF: L2 REF: 8-1 The Pythagorean Theorem and Its Converse OBJ: 8-1.2 The Converse of the Pythagorean Theorem NAT: NAEP 2005 G3d | ADP I.4.1 | ADP J.1.6 | ADP K.1.2 | ADP K.5 | ADP K.10.3STA: PA 2.10.B TOP: 8-1 Example 5 KEY: right triangle | obtuse triangle | acute triangle

69. ANS: A PTS: 1 DIF: L2 REF: 6-1 Rate of Change and SlopeOBJ: 6-1.2 Finding Slope NAT: NAEP 2005 M1 | NAEP 2005 A2a | NAEP 2005 A2b | ADP J.4.1 | ADP K.10.1STA: PA M11.C.2 | PA M11.D.3 | PA M11.D.3.1.1 | PA M11.D.3.1.2 | PA M11.D.3.2 | PA M11.D.3.2.1TOP: 6-1 Example 3 KEY: graphing | finding slope using a graph | slope

70. ANS: B PTS: 1 DIF: L2 REF: 6-1 Rate of Change and SlopeOBJ: 6-1.2 Finding Slope NAT: NAEP 2005 M1 | NAEP 2005 A2a | NAEP 2005 A2b | ADP J.4.1 | ADP K.10.1STA: PA M11.C.2 | PA M11.D.3 | PA M11.D.3.1.1 | PA M11.D.3.1.2 | PA M11.D.3.2 | PA M11.D.3.2.1TOP: 6-1 Example 4 KEY: finding slope using points | slope

71. ANS: D PTS: 1 DIF: L2 REF: 6-2 Slope-Intercept FormOBJ: 6-2.1 Writing Linear Equations NAT: NAEP 2005 A1h | ADP J.4.1 | ADP J.4.2 | ADP K.10.2STA: PA M11.C.2 | PA M11.D.2.1 | PA M11.D.3.2.2 | PA M11.D.3.2.3 TOP: 6-2 Example 1 KEY: linear equation | y-intercept | slope

ID: A

7

72. ANS: B PTS: 1 DIF: L3 REF: 6-2 Slope-Intercept FormOBJ: 6-2.1 Writing Linear Equations NAT: NAEP 2005 A1h | ADP J.4.1 | ADP J.4.2 | ADP K.10.2STA: PA M11.C.2 | PA M11.D.2.1 | PA M11.D.3.2.2 | PA M11.D.3.2.3 TOP: 6-2 Example 1 KEY: slope | linear equation | y-intercept

73. ANS: D PTS: 1 DIF: L2 REF: 6-2 Slope-Intercept FormOBJ: 6-2.1 Writing Linear Equations NAT: NAEP 2005 A1h | ADP J.4.1 | ADP J.4.2 | ADP K.10.2STA: PA M11.C.2 | PA M11.D.2.1 | PA M11.D.3.2.2 | PA M11.D.3.2.3 TOP: 6-2 Example 2 KEY: linear equation | slope | y-intercept

74. ANS: A PTS: 1 DIF: L2 REF: 6-2 Slope-Intercept FormOBJ: 6-2.1 Writing Linear Equations NAT: NAEP 2005 A1h | ADP J.4.1 | ADP J.4.2 | ADP K.10.2STA: PA M11.C.2 | PA M11.D.2.1 | PA M11.D.3.2.2 | PA M11.D.3.2.3 TOP: 6-2 Example 3 KEY: graphing | slope | y-intercept | slope-intercept form | finding slope using a graph

75. ANS: D PTS: 1 DIF: L2 REF: 6-2 Slope-Intercept FormOBJ: 6-2.2 Graphing Linear Equations NAT: NAEP 2005 A1h | ADP J.4.1 | ADP J.4.2 | ADP K.10.2STA: PA M11.C.2 | PA M11.D.2.1 | PA M11.D.3.2.2 | PA M11.D.3.2.3 TOP: 6-2 Example 4 KEY: linear equation | graphing equations | slope | y-intercept

76. ANS: D PTS: 1 DIF: L2 REF: 6-4 Standard FormOBJ: 6-4.1 Graphing Equations Using Intercepts NAT: NAEP 2005 A1h | ADP J.4.1 | ADP J.4.2 | ADP K.10.2 STA: PA M11.C.2 | PA M11.D.2.1 | PA M11.D.2.1.3 TOP: 6-4 Example 1KEY: standard form of a linear equation | x-intercept | y-intercept

77. ANS: A PTS: 1 DIF: L2 REF: 6-4 Standard FormOBJ: 6-4.1 Graphing Equations Using Intercepts NAT: NAEP 2005 A1h | ADP J.4.1 | ADP J.4.2 | ADP K.10.2 STA: PA M11.C.2 | PA M11.D.2.1 | PA M11.D.2.1.3 TOP: 6-4 Example 2KEY: graphing | x-intercept | y-intercept | standard form of a linear equation

78. ANS: A PTS: 1 DIF: L2 REF: 6-4 Standard FormOBJ: 6-4.2 Writing Equations in Standard Form NAT: NAEP 2005 A1h | ADP J.4.1 | ADP J.4.2 | ADP K.10.2 STA: PA M11.C.2 | PA M11.D.2.1 | PA M11.D.2.1.3 TOP: 6-4 Example 4KEY: standard form of a linear equation | transforming equations

79. ANS: C PTS: 1 DIF: L2 REF: 6-5 Point-Slope Form and Writing Linear Equations OBJ: 6-5.1 Using Point-Slope FormNAT: NAEP 2005 A1h | NAEP 2005 A1i | NAEP 2005 A2a | NAEP 2005 A2b | NAEP 2005 A3a | ADP J.4.1 | ADP J.4.2 | ADP K.10.1 | ADP K.10.2 STA: PA M11.C.2 | PA M11.D.2.1 | PA M11.D.2.1.3 TOP: 6-5 Example 2KEY: slope-intercept form | linear equation

80. ANS: D PTS: 1 DIF: L2 REF: 6-5 Point-Slope Form and Writing Linear Equations OBJ: 6-5.1 Using Point-Slope FormNAT: NAEP 2005 A1h | NAEP 2005 A1i | NAEP 2005 A2a | NAEP 2005 A2b | NAEP 2005 A3a | ADP J.4.1 | ADP J.4.2 | ADP K.10.1 | ADP K.10.2 STA: PA M11.C.2 | PA M11.D.2.1 | PA M11.D.2.1.3 TOP: 6-5 Example 3KEY: point-slope form | slope-intercept form | transforming equations | multi-part question

ID: A

8

81. ANS: B PTS: 1 DIF: L2 REF: 6-6 Parallel and Perpendicular Lines OBJ: 6-6.1 Parallel LinesNAT: NAEP 2005 G3g | NAEP 2005 A2e | ADP K.2.1 | ADP K.2.2 | ADP K.10.1 | ADP K.10.2STA: PA M11.C.2 | PA M11.C.2.1.2 | PA M11.D.2.1 | PA M11.D.2.1.3 TOP: 6-6 Example 2 KEY: parallel lines | linear equation

82. ANS: C PTS: 1 DIF: L3 REF: 6-6 Parallel and Perpendicular Lines OBJ: 6-6.2 Perpendicular LinesNAT: NAEP 2005 G3g | NAEP 2005 A2e | ADP K.2.1 | ADP K.2.2 | ADP K.10.1 | ADP K.10.2STA: PA M11.C.2 | PA M11.C.2.1.2 | PA M11.D.2.1 | PA M11.D.2.1.3 TOP: 6-6 Example 3 KEY: perpendicular lines | parallel lines

83. ANS: D PTS: 1 DIF: L2 REF: 6-6 Parallel and Perpendicular Lines OBJ: 6-6.2 Perpendicular LinesNAT: NAEP 2005 G3g | NAEP 2005 A2e | ADP K.2.1 | ADP K.2.2 | ADP K.10.1 | ADP K.10.2STA: PA M11.C.2 | PA M11.C.2.1.2 | PA M11.D.2.1 | PA M11.D.2.1.3 TOP: 6-6 Example 3 KEY: perpendicular lines | linear equation

84. ANS: C PTS: 1 DIF: L3 REF: 5-2 Bisectors in TrianglesOBJ: 5-2.1 Perpendicular Bisectors and Angle Bisectors NAT: NAEP 2005 G3b | ADP K.2.2KEY: perpendicular bisector | Perpendicular Bisector Theorem | reasoning

85. ANS: A PTS: 1 DIF: L2 REF: 5-3 Concurrent Lines, Medians, and Altitudes OBJ: 5-3.2 Medians and AltitudesNAT: NAEP 2005 G3b TOP: 5-3 Example 3 KEY: median of a triangle

SHORT ANSWER

86. ANS: a. Vertical angles.b. Transitive Property.c. Alternate Interior Angles Converse.

PTS: 1 DIF: L2 REF: 3-2 Proving Lines ParallelOBJ: 3-2.1 Using a Transversal NAT: NAEP 2005 M1e | NAEP 2005 M1f | ADP K.2.3TOP: 3-2 Example 1 KEY: two-column proof | proof | reasoning | corresponding angles | multi-part question

87. ANS: m∠1 = m∠2 = m∠3 = 90,m∠4 = 122,m∠5 = m∠6 = 58,m∠8 = 32,m∠7 = m∠9 = 148

PTS: 1 DIF: L3 REF: 3-4 Parallel Lines and the Triangle Angle-Sum TheoremOBJ: 3-4.2 Using Exterior Angles of Triangles NAT: NAEP 2005 G3b | NAEP 2005 G3f | ADP J.5.1 | ADP K.1.2 KEY: Triangle Angle-Sum Theorem | exterior angle

ID: A

9

88. ANS: m∠(interior) = 120m∠(exterior) = 60

PTS: 1 DIF: L2 REF: 3-5 The Polygon Angle-Sum TheoremsOBJ: 3-5.2 Polygon Angle Sums NAT: NAEP 2005 G3b | NAEP 2005 G3f | ADP J.5.1 | ADP K.1.2 KEY: Polygon Exterior Angle-Sum Theorem | exterior angle | interior angle

89. ANS: 7

PTS: 1 DIF: L2 REF: 6-1 Classifying QuadrilateralsOBJ: 6-1.1 Classifying Special Quadrilaterals NAT: NAEP 2005 G3fKEY: isosceles trapezoid | algebra

90. ANS: Rhombus; the measure of all numbered angles equal 39.

PTS: 1 DIF: L2 REF: 6-4 Special ParallelogramsOBJ: 6-4.1 Diagonals of Rhombuses and Rectangles NAT: NAEP 2005 G3fSTA: PA 2.9.C KEY: parallelogram | rhombus | reasoning

ESSAY

91. ANS: [4] Statements Reasons

1. ∠2 and∠5 are supplementary

2. ∠3 ≅ ∠2

3. ∠3 and∠5 are supplementary

4. l Ä m

1. Given

2. Vertical angles

3. Substitution

4. Converse of Same-SideInterior Angles Theorem

[3] correct idea, some details inaccurate[2] correct idea, some statements missing[1] correct idea, several steps omitted

PTS: 1 DIF: L4 REF: 3-2 Proving Lines ParallelOBJ: 3-2.1 Using a Transversal NAT: NAEP 2005 M1e | NAEP 2005 M1f | ADP K.2.3KEY: two-column proof | proof | extended response | rubric-based question | parallel lines | supplementary angles

ID: A

10

92. ANS: [4] w + 31 + 90 = 180, so w = 59º. Since vertical angles are congruent, y = 59º. Since

supplementary angles have measures with sum 180, x = v = 121º. z + 68 + y = z + 68 + 59 = 180, so z = 53º.

[3] small error leading to one incorrect answer[2] three correct answers, work shown[1] two correct answers, work shown

PTS: 1 DIF: L3 REF: 3-4 Parallel Lines and the Triangle Angle-Sum TheoremOBJ: 3-4.2 Using Exterior Angles of Triangles NAT: NAEP 2005 G3b | NAEP 2005 G3f | ADP J.5.1 | ADP K.1.2 KEY: Triangle Angle-Sum Theorem | vertical angles | supplementary angles | extended response | rubric-based question

93. ANS: [4]

Statement Reason

1. BC ≅ EC and AC ≅ DC 1. Given

2. ∠BCA ≅ ∠ECD 2. Vertical angles are congruent.3. ∆BCA ≅ ∆ECD 3. SAS

4. BA ≅ ED 4. CPCTC

[3] correct idea, some details inaccurate[2] correct idea, not well organized[1] correct idea, one or more significant steps omitted

PTS: 1 DIF: L4 REF: 4-4 Using Congruent Triangles: CPCTCOBJ: 4-4.1 Proving Parts of Triangles Congruent NAT: NAEP 2005 G2e | ADP K.3STA: PA 2.9.B KEY: CPCTC | congruent figures | proof | SAS | rubric-based question | extended response

OTHER

94. ANS:

Slope of AB is 23

.

Slope of CD is 23

.

Slope of BC is 0.

Slope of AD is 0.

AB Ä CD and BC Ä AD.Therefore ABCD is a parallelogram.

PTS: 1 DIF: L3 REF: 6-3 Proving That a Quadrilateral is a ParallelogramOBJ: 6-3.1 Is the Quadrilateral a Parallelogram? NAT: NAEP 2005 G3fSTA: PA 2.9.C KEY: parallelogram | coordinate plane | algebra | slope | writing in math

ID: A

11

95. ANS:

Answers may vary. Sample:

slope of AB is −67

slope of BC is 76

slope of CD is −67

slope of AD is 76

AB Ä CD andBC Ä AD , so ABCD is a parallelogram.

AB ⊥ BC, BC ⊥ CD, CD ⊥ AD, and AB ⊥ AD.∠ABC, ∠BCD,∠CDA, ∠BAD are right angles.ABCD is a rectangle.

PTS: 1 DIF: L4 REF: 6-7 Proofs Using Coordinate GeometryOBJ: 6-7.1 Building Proofs in the Coordinate Plane NAT: NAEP 2005 G4dSTA: PA 2.9.G | PA 2.5.B | PA 2.8.J KEY: coordinate plane | proof | reasoning | rectangle | slope | multi-part question

ID: A Geo X Midterm Exam Review Packet [Answer Strip]

_____ 1.B

_____ 2.A

_____ 3.C

_____ 4.A

_____ 5.A

_____ 6.C

_____ 7.D

_____ 8.C

_____ 9.D

_____ 10.C

_____ 11.D

_____ 12.B

_____ 13.C

_____ 14.D

_____ 15.D

_____ 16.D

_____ 17.B

_____ 18.D

_____ 19.A

_____ 20.A

_____ 21.C

_____ 22.A

_____ 23.A


_____ 24.A

_____ 25.A

_____ 26.C

_____ 27.B

_____ 28.C

_____ 29.C

_____ 30.A

_____ 31.D

_____ 32.A

_____ 33.B

_____ 34.D

_____ 35.D

_____ 36.D

_____ 37.A

_____ 38.B

_____ 39.D

_____ 40.C

_____ 41.C

_____ 42.D

_____ 43.B


_____ 44.C

_____ 45.B

_____ 46.A

_____ 47.A

_____ 48.A

_____ 49.D

_____ 50.A

_____ 51.D

_____ 52.C

_____ 53.A

_____ 54.B

_____ 55.D

_____ 56.D

_____ 57.B

_____ 58.C


_____ 59.B

_____ 60.D

_____ 61.C

_____ 62.A

_____ 63.C

_____ 64.C

_____ 65.B

_____ 66.A

_____ 67.A

_____ 68.C

_____ 69.A

_____ 70.B

_____ 71.D

_____ 72.B

_____ 73.D

_____ 74.A


_____ 75.D

_____ 76.D

_____ 77.A

_____ 78.A

_____ 79.C

_____ 80.D

_____ 81.B

_____ 82.C

_____ 83.D

_____ 84.C

_____ 85.A

Geo X Midterm Exam Review Packet - tesd.net X... · Geo X Midterm Exam Review Packet Multiple Choice Identify the choice that best completes the statement or answers the question.

Documents