Page 1 Geometry Fall Semester Exam Review

Page 1 Geometry Fall Semester Exam Review

How to Study for Your Midterm Exam: • DON’T WAIT UNTIL THE NIGHT BEFORE TO START STUDYING!

• Start gathering old tests and quizzes early.

• Break up your studying into parts: o Day 1: Chapters 1-2, start 3 o Day 2: Chapters 3-4, start 5 o Day 3: Chapter 5-6

• Remember that Geometry is a DOING subject!! You must actually REDO problems and proofs; don’t just look at them!

• Use tests, quizzes, and review packets. You should re-work EVERY problem on all of your tests and quizzes (not just the ones you got wrong). Rewrite the problems on a blank piece of paper to start fresh.

• Use all past homework assignments as extra practice problems.

• Mid Chapter Quiz – At the end of every 3 sections, there is a Mid Chapter Quiz. Do the Mid Chapter Quiz. The answers to the Mid Chapter Quiz are in the back of the book. Check to see which sections you are having problems with. Mid Chapter Quiz help reinforce the skills learned in earlier sections.

• Chapter Review and Chapter Tests – at the end of each chapter. Use these for extra practice problems

• Know how to do all proofs on each chapter test. Make sure you correct each proof.

• Spend time reading through the list of topics. Find odd problems in the book associated with each topic. Rework those problems and check your answers in the back of the book.

• Complete this entire review packet. Make sure you can do every problem.

• Come to extra Question and Answer sessions if needed.

• Know all postulates, theorems, definitions, and corollaries – Use Quizlet.com

The test: • 50 multiple choice questions • Use a calculator • 3-5 proofs from previous tests

Page 2 PLEASE NOTE: Not all topics covered on this exam are covered on this review sheet. You will also need to refer to your notes and old tests and quizzes to study for your exam.

1. Use the term equidistant 2. Use and draw the terms point, line, and plane 3. Use the terms collinear, coplanar, and intersections 4. Learn the symbols for lines, segments, rays and distances 5. Find distances between points on a number line 6. State and use the Rule Postulate and Segment Addition Postulate 7. Find the midpoint of a segment, identify congruent segments, and solve

problems involving midpoints and congruent segments 8. Identify angles and parts of angles and use the Angle Addition Postulate to

find the measures of angles 9. Use the midpoint formula in the coordinate plane 10. Use the distance formula in the coordinate plane 11. Graph lines in the coordinate plane 12. Classify and name polygons 13. Find perimeter and area of squares and rectangles 14. Find perimeter and area of triangles 15. Find circumference and area of circles 16. Classify angles as acute, obtuse, right, and straight 17. Recognize what can be concluded from a diagram 18. Use postulates and theorems relating points, lines, and planes 19. Apply the definition of an angle bisector and solve problems involving angle

bisectors 20. Apply the definitions of complementary and supplementary angles 21. State and use the Vertical Angle Theorem 22. Solve problems using theorems and definitions about angles 23. Apply the definition and theorems about perpendicular lines 24. State and apply the theorems about angles supplementary to, or commentary

to congruent angles. 25. Identify the hypothesis and conclusion of an “if-then” statement, 26. Write the converse of an “if-then statement” 27. Use a counterexample to disprove an if-then statement 28. Identify and write bi-conditional statements (if and only if) 29. Identify the truth value of a statement 30. Identify a contrapositive of a statement 31. Identify an inverse of a statement 32. Use properties of equality and congruence in algebraic and geometric proofs 33. Know the kind of reasons that can be used in a proof 34. Distinguish between intersecting lines, parallel lines, and skew lines 35. State and apply the theorem about the intersection of two parallel planes by a

third plane

Page 3 36. Identify the angles formed when two lines are cut by a transversal:

alternate interior, corresponding, same side interior 37. Describe the relationships between two lines and between two planes, and

identify the relationships between pairs of angles formed by pairs of lines and transversals

38. Use the properties of parallel lines to determine angle measures 39. Recognize angle conditions that produce parallel lines, and prove two lines

are parallel based on given angle relations 40. State and apply the theorems about a parallel and a perpendicular to a given

line through a point outside the line. 41. Complete proofs using theorems and corollaries about parallel lines 42. Solve problems using theorems and corollaries about parallel lines 43. Write equations of lines using point slope form 44. Write equations of lines using slope intercept form 45. Write equations of parallel lines 46. Write equations of perpendicular lines 47. Identify slope of parallel lines 48. Identify slope of perpendicular lines 49. Identify the parts of a triangle 50. Classify triangles according to sides and angles 51. State and apply the theorems and corollaries about the sum of the measures

of the angles of a triangle 52. State and apply the theorem about the measure of the exterior angle of a

triangle 53. Recognize regular polygons 54. Find the measures of interior angles and exterior angles of convex polygons 55. Complete proofs using theorems and corollaries about triangles 56. Solve problems using theorems and corollaries about angles in triangles and

polygons 57. Identify corresponding parts of congruent triangles and other polygons 58. Use the SAS, SSS, ASA Postulates and the AAS and HL Theorem to prove

two triangles congruent 59. Identify isosceles triangles 60. Use and apply the Isosceles Triangle Theorem and its Converse. 61. Deduce information about segments and angles after proving triangles

congruent [Corresponding parts of Congruent Triangles are Congruent] 62. Complete proofs using theorems and corollaries about congruent triangles 63. Apply the definitions of the median and the altitude of a triangle 64. Identify where medians and altitudes are located in specific types of

triangles 65. State and apply the theorem about a point on a perpendicular bisector and

the converse

Page 4 66. State and apply the theorem about the point on the bisector of an angle

and the converse 67. Identify and locate points of concurrency: circumcenter, incenter, centroid,

and orthocenter 68. Identify and apply the theorem about the Triangle Midsegment 69. Solve problems using theorems and definitions about altitudes and medians 70. Solve problems using definitions about points of concurrency 71. Solve problems using Triangle Midsegment 72. Apply properties of inequalities to positive numbers, lengths of segments,

and measures of angles 73. State and use the Exterior Angle Inequality Theorem 74. State and apply the inequality theorems and corollaries for one triangle 75. State and apply the inequality theorems for two triangles [SAS and SSS

Inequality Theorems] 76. Solve problems using the inequality theorems and corollaries for one

triangle 77. Complete proofs using properties of inequalities and the Exterior Angle

Inequality Theorem 78. Complete proofs using the Hinge Theorem and its converse 79. Identify and apply the definition and properties of a parallelogram 80. Recognize and apply the conditions that ensure that a quadrilateral is a

parallelogram. 81. Identify and apply the definition and properties of a rectangle 82. Identify and apply the definition and properties of a square 83. Identify and apply the definition and properties of a rhombus 84. Identify and apply the definition and properties of a trapezoid 85. Identify and apply the properties of an isosceles trapezoid 86. Identify and apply the properties of a kite 87. Identify the median of a trapezoid 88. Solve problems using the definition and properties of a parallelogram 89. Solve problems using the definition and properties of rectangles, squares,

rhombi, kites, and trapezoids. 90. Solve problems using the definition and properties of a median of a

trapezoid. 91. Complete proofs using the definition and properties of a parallelogram 92. Complete proofs using the definition and properties of rectangles, squares,

rhombi, and trapezoids.

Page 5 Chapter 1: Vocabulary to Know

• Right angle

• Vertical angles

• Supplementary angles

• Angle bisector

• Collinear points

• Complementary angles

• Coplanar

• Linear pair

• Midpoint

• Perpendicular lines

• Segment bisector

• Distance (points on a number line)

• Midpoint on Coordinate Plane

• Distance Formula

1) Are the points G, V, and E collinear? Coplanar?

2) Name the sides of ∠1.

3) Name a pair of supplementary angles.

4) Name a pair of adjacent angles.

5) Name a linear pair.

6) If AC = 4x + 1 and CE = 16 – x, find AE.

7) If ∠5 ≅ ∠6, does VG bisect ∠FVB?

8) Does CG bisect AE ?

9) Is VB ⊥ VF ?

10) If m∠BVF = 7x – 1 and m∠fva = 6x + 12, is AB ⊥ VF ?

11) Name a pair of vertical angles?

12) If m∠5 = 3x + 14, m∠6 = x + 30, and m∠FVB = 9x – 11, find x and m∠FVB.

A 7

3

4 C

E

2 1 V 6

5

F

G

B

Page 6

1) What is AC?

2) What is FC – DA?

3) What segment is congruent to FB?

4) What is the midpoint of BE ? Use the picture at the right for #1-4.

1) Find the measure of ∠𝐵𝐹𝐷

2) Find the measure of ∠𝐸𝐹𝐵

3) Find the measure of ∠𝐴𝐹𝐸

4) Find the measure of ∠𝐷𝐹𝐶

A B C D E F

0 –2 –8 6

Area of a Square:_____________ Area of a Rectangle: _____________ Area of a Triangle: _____________ Perimeter of a Rectangle: _____________ Perimeter of any Polygon: _____________ Perimeter of a Square: _____________ Area of a Circle: _____________ Circumference of a Circle: _____________ Another Circumference of a Circle: _____________

Page 7 1) Mrs. Haley wants to put wallpaper border around her living room. The room is 18 ft by 22 ft. How many feet of border are needed?____________ 2) Torchy’s Tacos owner wants to put a cement patio behind his restaurant so more people can eat outside. The patio will be 16 ft wide and 25 ft long. What will the area of the patio be? 3) Find the circumference and area of a circle with diameter 18. (Answer in terms of π) Area=____________ Circumference=____________ 4) The midpoint of 𝑆𝑀 is (5, -11). One endpoint is S(3,5). What are the coordinates of endpoint M?

For question 5 & 6, given the points A(2,4) and B(7,-3) complete the statement. 5) The midpoint of 𝐴𝐵 is _________________.

6) The distance between A and B is ______________ (round to the nearest tenth if necessary). Need extra help with Chapter 1? See the corresponding Blackboard dates for extra classwork or activity problems. Section 1.2 (Points, Lines, & Planes) – Bb 8/17 & 8/18 Section 1.3 (Measuring Segments) – Bb 8/19 & 8/20 Section 1.4 (Measuring Angles) – Bb 8/21 & 8/24 Section 1.5 (Exploring Angle Pairs) – Bb 8/21 & 8/24 Section 1.7 (Midpoint and Distance in Coordinate Plane) – Bb 8/25 & 8/26 Section 1.8 (Perimeter, Circumference, and Area) – Bb 8/27 & 8/28

Page 8 Chapter 2: Vocabulary to Know

• Conditional statements

• Converses

• Contrapositives

• Inverses

• Properties

o Reflexive o Transitive

o Substitution

o Distributive

o Multiplication

o Division

o Addition

o Subtraction

Use the pattern below to answer #1 – 2.

1) What will the next two figures look like?

2) What will the 75th term look like? Use the pattern below to answer # 3 – 4. S, T, U, D, Y, S, T, U, D, Y, S, T, U, D, Y…

3) What letter will the 45th term be?

4) What letter will the 14th term be? Write the conditional statement in if-then form. Identify the hypothesis and conclusion. Then write the converse.

5) Two parallel lines do not intersect.

6) Vertical angles are congruent.

Page 9 7) What is a counterexample for the following conjecture?

The product of two positive numbers is greater than the sum of the two numbers.

Read the following statement and fill in the missing information.

If you are a quarterback, then you play football

Statement Write the… Truth Value Counterexample (if false)

Converse

Inverse

Contrapositive

Fill in the missing information.

Statement Symbols Conditional

Converse

Inverse

Contrapositive

Page 10 State the property that justifies each statement.

1) If m∠A = m∠B, then m∠B = m∠A.

2) If 2x + 9 = 19, then 2x = 10.

3) If 2ST = 16RV, then ST = 8RV.

4) If AB = 7 and CD = 7, then AB = CD.

5) If 2(4x + 6) = 8, then 8x + 12 = 8.

6) BC BC≅

Solve the following for x. 1) 2) 3) Fill in the following proof. Given: AC BD≅ Prove: AB CD≅ Statements Reasons 1. AC BD≅ 1. 2. AB + BC = AC 2. BC + CD = BD 3. AB + BC = BC + CD 3. 4. AB = BC 4. 5. AB CD≅ 5. Need extra help with Chapter 2? See the corresponding Blackboard dates for extra classwork or activity problems. Section 2.1 (Patterns & Inductive Reasoning) – Bb 9/2 & 9/3 Section 2.2 (Conditional Statements) – Bb 9/4 & 9/8 Section 2.3 (Biconditionals) – Bb 9/4 & 9/8 Section 2.5 (Reasoning in Algebra & Geometry) – Bb 9/9 & 9/10 Section 2.6 (Proving Angles Congruent) – Bb 9/11 & 9/14 Chapter 2 Review – Bb 9/15 & 9/16

A B C D

Page 11 Chapter 3: Vocabulary to Know

• Alternate Interior Angles • Alternate Exterior Anlges

• Same-Side Interior Angles

• Corresponding Angles

• Parallel Lines

• Perpendicular Lines

• Slope

• Slop Intercept Form

• Point Slope Form

• Properties of Parallel Lines

• Properties of Perpendicular Lines

Given m ⎢⎢n and j ⎢⎢k, answer questions 1 – 8.

1) If m ⎢⎢n , name the alternate interior angles along transversal a.

2) If m ⎢⎢n , name the consecutive interior angles along transversal k.

3) If a ⎢⎢k, name the corresponding angles along transveral m.

4) If m∠1 = 85, find m∠9 and m∠14.

5) If m∠5 = 95, find m∠7 and m∠8.

6) If m∠16 = 63, find m∠10.

7) If m∠9 = 9x + 5 and m∠4 = x + 37, find x and m∠4.

8) If m∠11 = 5x + 2 and m∠3 = 3x + 28, find x and m∠11.

1 2 3 4 5 6 7 8

9 10 11 12 13 14 15 16

m n

a

k

Page 12 Refer to the figure at the right for 9 – 12.

9) What type of angles are ∠5 and ∠2?

10) What type of angles are ∠4 and ∠7?

11) What type of angles are ∠6 and ∠9?

12) What type of angles are ∠3 and ∠13?

13) Given ∠17 and ∠18 are same side interior angles for two parallel lines.

If m∠17 = 6x – 12 and m∠18 = 2x – 8, find x and m∠18.

14) If ∠21 and ∠23 are alternate interior angles, what conclusion can you make?

15) If ∠23 and ∠25 are corresponding angles, what conclusion can you make? Graph the following lines. Plot at least three points and use different colors for each one.

1) 9𝑥 − 3𝑦 = 12

2) 𝑦 = −4

3) 𝑥 = 3

4) Write the equation of the line that is perpendicular to −4𝑥 − 8𝑦 = 13 and contains the point (-10, 14). Your answer should be in slope intercept form. Also, name the slope and y intercept of the equation. Equation = _______________________ Slope = _____________________ y – intercept = __________________

1 2 3 4 11 12 13 14

5 6 7 10 9 8

Page 13

5) Write the equation of the line that is parallel to −14𝑥 − 3𝑦 = 9 and contains the point (-1,-6). Your answer should be in point-slope form.

6) Find the slope between the points (-12, -4) and (-9, 5).

7) What is the slope of 𝑦 = 9? Describe the graph of the line.

8) What is the slope of 𝑥 = −13? Describe the graph of the line. Need extra help with Chapter 3? See the corresponding Blackboard dates for extra classwork or activity problems. Section 3.1 (Lines & Angles) – Bb 9/22 & 9/23 Section 3.2 (Properties of Parallel Lines) – Bb 9/22 & 9/23 Section 3.3 (Proving Lines Parallel) – Bb 9/24 & 9/25 Section 3.4 (Parallel & Perpendicualr Lines) – Bb 9/28 & 9/29 Section 3.5 (Parallel Lines & Triangles) – Bb 9/30 & 10/1 Section 3.7 (Equations of Lines in Coordinate Plane) – Bb 10/2 & 10/6 Section 3.8 (Slopes of Parallel and Perpendicular Lines) – Bb 10/2 & 10/6 Chapter 3 Review – Bb 10/7 & 10/8

Page 14 Chapter 4: Vocabulary to Know

§ SSS

§ SAS

§ AAS

§ ASA

§ HL

§ Isosceles Triangle and Parts

§ Congruence of Triangles

§ Corresponding Parts of Congruent

Triangles (CPCT)

§ Right Triangle and Parts

§ Equilateral Triangles

§ Equiangular Triangles

1) What is the longest side of a right triangle called? (Hint: It’s across from the 90 degree angle)

2) True or False: If a triangle is equilateral, then it is also equiangular. 3) What are the two congruent angles at the bottom of an isosceles triangle called? 4) True or False: The exterior angle of a triangle is equal to the sum of the two remote

interior angles.

5) Given: ΔJKL ≅ ΔMNP, name the corresponding parts (3 angles, 3 sides) that are congruent.

For the following questions name the theorem or postulate (SSS, SAS, AAS, ASA, HL) that makes the triangles congruent. Also, write a congruence statement (∆. . .≅ ∆…) for each.

A

B

C

D

E

F G

H I

J

K

L

M

N O P

R S

T

W X

Page 15 Name the additional information that must be congruent in order to prove the triangles congruent by the given postulate or theorem. HL ASA Use the diagram below for #1-5.

1) If ΔBCD is an isosceles triangle, what angles are congruent and what sides are congruent?

2) If ΔABE is an isosceles triangle, what angles are congruent and what sides are

congruent?

3) If m∠CBD = 106, find the measures of the base angles ΔBCD.

4) m∠1 = ________ + _________.

5) If m∠1 = 110 and m∠2 = x + 15 and m∠3 = x + 45, find x and m∠2 and m∠3.

B

A 6 4

C D 2

7 5

3

1 E

A C

B D

E

F

Page 16 6) In ΔXYZ, what side is opposite ∠Y?

7) In ΔGHI, what angle is opposite GI ?

8) In ΔQRT, what side is opposite ∠T and what angle is opposite TR? Given: ΔWXY ≅ ΔNJK ≅ ΔPFH.

1) What is true about WY and PF ?

2) What is true about ∠K and ∠H? Need extra help with Chapter 4? See the corresponding Blackboard dates for extra classwork or activity problems. Section 4.1 (Congurent Figures) – Bb 10/13 & 10/15 Section 4.2 (Triangle Congruence by SSS and SAS) – Bb 10/16 & 10/19 Section 4.3 (Triangle Congruence by ASA and AAs) – Bb 10/16 & 10/19 Section 4.4 (CPCT) – Bb 10/20 & 10/21 Section 4.5 (Isosceles and Equilateral Triangles) – Bb 10/22 & 10/26 Section 4.6 (Congruence in Right Triangles) – Bb 10/27 & 10/28 Chapter 4 Review – Bb 10/29 & 10/30

Page 17 Chapter 5: Vocabulary to Know

• Median

• Midsegments

• Angle Bisector

• Perpendicular Bisector

• Altitude

• Triangle Inequality Theorem

• Exterior Angle Inequality Theorem

• Listing angles by size

• Listing sides by size

• Incenter

• Circumcenter

• Orthocenter

• Centroid

Refer to the figure at the right.

1) Name a median of ΔABC.

2) Name an altitude of ΔABC.

3) Name an angle bisector of ΔABC. Refer to ΔJKL. List the angles in order from largest to smallest.

A H B E

C

D F

J

K

L

4.5 3.3

5.7

Page 18 Use the above figure to complete the statement with < or >.

1) m∠1 ________ m∠2

2) m∠5 ________ m∠2

3) m∠6 ________ m∠4

4) If the m∠7 = m∠3, then m∠3 _______ m∠4

List the sides of ∆WXY in order from longest to shortest if the angles of ∆WXY have the indicated measures. 1) m∠W = 4x – 1; m∠X = 7x + 3; m∠Y = 3x – 4 Use the triangle inequality to determine which of these can be lengths of a triangle. Write yes or no.

1) 12.2 ; 6.7 ; 28.9

2) 4.25 ; 7.62 ; 12.13

3) 45.54 ; 75.56 ; 121.1

4) 8.92 ; 9.32 ; 18.32

Determine the possible values (range) for the length of the third side.

5) 5.7 ; 7.67

6) 23.54 ; 49.3

7) 21 ; 24

8) 102.72 ; 93.9

Refer to ΔABC. List the sides in order from longest to shortest.

B

A 6 4

C D 2

7 5

3

1 E

A

B

C

70°

50° 60°

Page 19 Use the diagram to the right for #2-4. 2) Given that PS = 53.4, QT = 47.7, and QS = 53.4, find PQ. 3) Given that m is the perpendicular bisector of PQ, and SQ = 25.9,

find SP. 4) Given that m is the perpendicular bisector of PQ, PS = 4a, and QS

= 2a + 26, find QS.

Use the diagram to the right for #5-7. 5) Given that 𝑚∠𝑅𝑆𝑄 = 𝑚∠𝑇𝑆𝑄 and TQ = 1.3m find RQ. 6) Given that 𝑚∠𝑅𝑆𝑄 = 58°, RQ = 49, and TQ = 49, find 𝑚∠𝑅𝑆𝑇. 7) Given that RQ = TQ, 𝑚∠𝑄𝑆𝑅 = (9a + 48)°, and 𝑚∠𝑄𝑆𝑇 = (6a + 50)°, find 𝑚∠𝑄𝑆𝑇

In Exercises 1-4, C is the midpoint of FA, and CP and YQ are perpendicular to AN. Classify each statement as true or false. 1) If Y is the midpoint of FN, then CY || AN. 2) CY = AN/2. 3) If CY || AN, then Y is the midpoint of FN. 4) If CY || AN, then CP = YQ. In Exercises 5 and 6, M and N are the midpoints of AB and CB, respectively. Find the values of x and y.

In Exercises 7-13 points M, N, and P are the midpoints of XZ, ZY, and XY, respectively. 7) If XY = 30, then MN = 8) If MP = 13.5, then YZ = 9) If MZ = 6, then NP = 10) If YZ = 4a, then MP = 11) If 𝑚∠𝑌𝑁𝑃 = 84°, then 𝑚∠𝑍 = 12) If 𝑚∠𝑍𝑀𝑁 = 70°, and 𝑚∠𝑍𝑁𝑀 = 55° then 𝑚∠𝑋 = 13) If the perimeter of ∆𝑀𝑁𝑃 = 36, then the perimeter of ∆𝑋𝑌𝑍 =

Page 20 SN, TN, and VN are the perpendicular bisectors of △ 𝑷𝑸𝑹. Find each length. 1) NR 2) RV

3) TR 4) QN

CF and EF are angle bisectors of △ 𝑪𝑫𝑬. Find each measure. 5) the distance from F to CD 6) 𝑚∠𝐹𝐸𝐷 P is a centroid. Find each measure. 7) GL 8) HL 9) PL

10) GJ 11) Perimeter of △ 𝐺𝐻𝐽 12) Area of △ 𝐺𝐻𝐽

Find each measure. 13) GJ 14) RJ 15) RQ

16) 𝑚∠𝐻𝐺𝐽 17) 𝑚∠𝑃𝑄𝑅 18) 𝑚∠𝐺𝑃𝑄

Need extra help with Chapter 5? See the corresponding Blackboard dates for extra classwork or activity problems. Section 5.1 (Midsegments of Triangles) – Bb 11/4 & 11/5 Section 5.2 (Perpendicular and Angle Bisectors) – Bb 11/6 & 11/9 Section 5.3 (Bisectors in Triangles; Incenter & Circumcenter) – Bb 11/6 & 11/9 Section 5.4 (Medians & Altitudes; Centroid & Orthocenter) – Bb 11/10 & 11/11 Section 5.6 (Inequalities in One Triangle) – Bb 11/12 & 11/16 Section 5.7 (Inequalities in Two Triangles) – Bb 11/12 & 11/16

Page 21 Chapter 6: Vocabulary to know

• Parallelogram

• Rectangle

• Rhombus

• Square

• Kite

• Trapezoid

• Regular Polygon

• Isosceles Trapezoid

List the properties of the following: 1) Parallelogram:

2) Rectangle:

3) Rhombus:

4) Square:

5) Trapezoid:

Page 22

Given the following parallelogram, find the missing values.

6)

_____________________

xyz

=

=

=

7)

_____________________

xyz

=

=

=

Given rectangle MATH, answer the following:

8)

MP = 6 cm ; HA = _______MT =18 cm ; HP = _______m MHA = 4x + 8 and m AHT = 5x 8 , x = _______m MAT = _______∠ ∠ −

∠

o o

Given ABED is a square, answer the following:

9)

AE =16 cm ; BD = _______m ABD = 2x +15 and m DBE = 5x 30 , x = _______m ADE = _______ & m ACD = _______ ∠ ∠ −

∠ ∠

o o

Given the following trapezoids, find the missing values. 10) 11) 12)

z° 128°

30° y°

x°

18 cm

9

y

12 cm x z

M A

T H

P

A

B

D

E

C

14 cm

x

27 cm

26 cm

34 cm

x cm 78° x°

y° z°

Page 23

A. What is a regular polygon?

B. What is the sum of the exterior angles?

C. What is the sum of the interior angles of a polygon if the number of sides is 36?

D. The number of sides of a regular polygon is 15. Find the measure of an interior angle and an exterior angle.

E. How can you find the sum of the interior angles of a polygon with number of sides n?

F. What is the sum of the interior angles of a polygon if the number of sides is 106? Need extra help with Chapter 6? See the corresponding Blackboard dates for extra classwork or activity problems. Section 6.1 (Polygon-Angle Sum Theorems) – Bb 11/19 & 11/20 Section 6.2 (Properties of Parallelograms) – Bb 11/30 & 12/1 Section 6.3 (Proving that a Quadrilateral is a Parallelogram) – Bb 11/30 & 12/1 Section 6.4 (Properties of Rhombuses, Rectangles, & Squares) – Bb 12/2 & 12/3 Section 6.5 (Conditions for Rhombuses, Rectangles, & Squares) – Bb 12/2 & 12/3 Section 6.6 (Trapezoids & Kites) – Bb 12/4 & 12/7