Quarterly Assessment # 2 Assessment 2 Geometry Answers.

Quarterly Assessment # 2

Assessment 2GeometryAnswers

Review QA # 1Review QA # 1

1. “If a quadrilateral has four equal sides, then that quadrilateral is a square.” Draw me a counterexample to the statement above.

2. Which of the following best describes the triangle below? Are they congruent? Similar?

3 36 6

35°

35°

1) Draw me 2 shapes that are similar but NOT congruent?

2) Are these shape Similar? Congruent? a. b.

c. d.

Review QA # 2Review QA # 2

1. A triangle has sides with lengths of 4 and 7 inches. Which of the following could be the perimeter of the triangle?

2. A triangle has sides with lengths of 7 and 10 inches. Which of the following could be

the perimeter of the triangle?

3. A triangle has sides with lengths of 11 and 17 inches. Which of the following could be the perimeter of the triangle?

4 7

?

Review QA # 3Review QA # 3

Bell Work1. A triangle has sides with lengths of 3 and 12 inches.

Which of the following could be the perimeter of the triangle?

2. A triangle has sides with lengths of 6 and 10 inches. Which of the following could be

the perimeter of the triangle?3. A triangle has sides with lengths of 10 and 17 inches.

Which of the following could be the perimeter of the triangle?

3 12

?

1. What is the length of a side of the square below? a. b.

c. d.

5x + 60

6x + 43

5x + 13

3x + 43

8x + 13

4x + 43

5x + 15

x + 55

Review QA # 4Review QA # 4

1) In the triangles below, AB=DE and BC=EF.What additional information would be enough to

prove that triangle ABC and DEF are congruent?

B

A C D

E

F

Review QA # 5Review QA # 5

1. In the figure below, a. If JK = LM, what will prove that JKL and JML are

congruent?

b. If JM = KL, what will prove that JKL and JML are congruent?

J K

LM

13

24

Review QA # 6Review QA # 6

1) In the figure below, KL = JM. What postulate or theorem could be used to prove triangle

JKL = LMJ?

J

K

L

M

Review QA # 7Review QA # 7

Warm Up # 5

1. A right triangle has legs of lengths 6 and 9. What is the length of the hypotenuse?

2. A right triangle has legs of lengths 8 and 12. What is the length of the hypotenuse?

3. A right triangle has legs of lengths 4 and 7. What is the length of the hypotenuse?

4. A right triangle has legs of lengths 11 and 13. What is the length of the hypotenuse?

Review QA # 8Review QA # 8

Review QA # 9Review QA # 91. Which of the following statements would prove that ABCD is a

rhombus?

2. What type of triangle is formed by the points A(2, 3), B(2, -3) and C(5, 0)?

3. What type of triangle is formed by the points A(–1, -1), B(2, -3) and C(5, 0)?

4. What type of triangle is formed by the points A(0, 5), B(2, 0) and C(0, 0)?

1. If we have a parallelogram EFGH. Which of the following statements would prove that EFGH is a rhombus? Draw a Parallelogram, then a rhombus.

2. What type of triangle is formed by the points A(2, 4), B(2, -4) and C(5, 0)?

3. What type of triangle is formed by the points A(–1, -1), B(1, -3) and C(5, 0)?

4. What type of triangle is formed by the points A(0, 5), B(4, 0) and C(0, 0)?

Bell Work

• A fence built around a field has the dimensions shown below.

1. What is the approximate length of the entire fence?

a. b. c.

3

5?

7

25?

10

26?

Review QA # 10Review QA # 10

• What additional information will be sufficient to prove that triangle GFH and JFK are similar?Remember we just need 2 angle to be congruent to

have 2 similar triangles.

G

F

H

J

K

1

23

4 5

6

Review QA # 11Review QA # 11

In the triangle below, XY = MN and <X = < M.

1. Which additional information would be sufficient to prove that both triangle are congruent?

2. Which additional information would NOT be sufficient prove both triangle are congruent?

X Y

Z

MN

O

Review QA # 12Review QA # 12

1. What values of x and y make quadrilateral EFGH a parallelogram? Hint : Opposite sides are congruent.

a.` b. E F

GH

x – y

4x + y 26

4

E F

GH

3x + 4y

-x + 2y 2

24

Review QA # 13Review QA # 13

Bell Work1. What values of x and y make quadrilateral EFGH a

parallelogram? Hint : Opposite sides are congruent.

a. b. E F

GH

x + y

2x + 3y 9

4

E F

GH

3x + 6

x + 2y 11

7y

Warm Up # 5

1. A right triangle has legs of lengths 6 and 9. What is the length of the hypotenuse?

2. A right triangle has legs of lengths 8 and 12. What is the length of the hypotenuse?

3. A right triangle has legs of lengths 4 and 7. What is the length of the hypotenuse?

4. A right triangle has legs of lengths 11 and 13. What is the length of the hypotenuse?

Bell Work

If EFGH is a rhombus, solve for z? a. b.

E F

GH

(3, 4) (3+z, 4)

(0,0)(z,0)

E F

GH

(x, y) (x+z, y)

(0,0)(z,0)

Review QA # 14Review QA # 14

If EFGH is a rhombus, solve for z. Then find Slope for FH and EG. Then multiply FH and EG.

a. What do you notice about FH and EG?

E F

GH

(3, 4) (3+z, 4)

(0,0)(z,0)

Review QA # 15Review QA # 15

Bell WorkIf EFGH is a rhombus, solve for z. Then find Slope for

FH and EG. Then multiply FH and EG. a. What do you notice

about FH and EG?E F

GH

(5, 12) (5+z, 12)

(0,0)(z,0)

Warm Up # 9 If EFGH is a parallelogram, what are the

coordinates of point E?a. b.

E F

GH

(?, ?) (6, 4)

(0,0)(5,0)

E F

GH

(?, ?) (y, z)

(0,0)(x,0)

Review QA # 16Review QA # 16

Warm Up # 9B1. Which of the following facts would prove that

EFGH and LMNO are similar?

Hint: What should the ratio be for FG/MO, HG/NO ?What should <H and <G be congruent to ? If we have 2 parallel lines would it help? Which two?

E F

GH

L M

N O

115 105115 1059

6

3

2

Review QA # 17Review QA # 17

Bell work1. Which of the following is not an undefined term use in geometry?

a. Triangle b. point c. line d. plane

2. Which of the following statements represents deductive reasoning? a. Using logic to draw conclusions based on accepted statements. b. Recognizing pattern in weather, then making a prediction based

upon that pattern.c. Singing “Yankee Doodle Dandy” to yourself.d. Clark Gable

3. Which of the following statements represents inductive reasoning?a. Using logic to draw conclusions based on accepted statements. b. Recognizing a pattern in weather, then making a prediction

based upon that pattern. c. Reciting a Dr. Seus phrase to your neighbor. d. Elvis Grabac.

A

A

B

Bell Work• A triangle has side lengths of 4 and 10 inches. What

is the possible length for the third side?• A triangle has side lengths of 3 and 7 inches. What

is the possible length for the third side?• A triangle has side lengths of 6 and 19 inches. What

is the possible length for the third side?• A right triangle has legs of lengths 4 and 7. What is

the length of the hypotenuse? • A right triangle has legs of lengths 11 and 13. What

is the length of the hypotenuse?

6 < X < 146 < X < 14

4 < X < 104 < X < 10

13 < X < 2513 < X < 25

√√6565

√√290290

Bell Work1. A triangle has sides with lengths of 3 and 7 inches.

Which of the following could be the perimeter of the triangle?

2. A triangle has sides with lengths of 6 and 10 inches. Which of the following could be

the perimeter of the triangle?3. A triangle has sides with lengths of 10 and 17 inches.

Which of the following could be the perimeter of the triangle?

3 7

?

Warm Up # 10 Page 2271.Make a segment AB. 2.Put the tip of the compass on point A.3.Open the pencil(with compass) tip so that it extend

past point B. Then Draw an Arc.4.Without adjusting the width of the compass, place

the tip on point B and draw an arc that intersects the first arc at point C.

5.Draw a line segment from point A to C and from point B to C.

Review QA # 18Review QA # 18

Warm Up # 10B Page 2711. On a triangle ABC. Put the tip of the compass on to

point B. 2.Open the pencil (with compass) tip so that it

touches segment AC. Draw an arc. Label the intersection on AC point K and on AB point M.

3.Without adjusting the width of the compass. Place the tip on point K and draw an arc. Same with point M.

4.Where both arc intersects call it point H. 5.Lastly, make segment BH and that is the altitude.

Review QA # 19Review QA # 19

1. Find the area for Triangle x.2. Find the area for Triangle y.3. Find the area for Triangle z.4. Find the area of x , y , z.5. Find area of the trapezoid.6. Find sum for triangle x, y, z.7. Does answer number 6 have the same answer as number 5?

Warm-Up 10 C: Page 545: Pythagorean Theorem Proof.: Not drawn to scale

22

4

3

3

4

5

5

xx

yy

zz

Review QA # 20Review QA # 20

1. Find the area for Triangle x.2. Find the area for Triangle y.3. Find the area for Triangle z.4. Find the area of x , y , z.5. Find area of the trapezoid.6. Find sum for triangle x, y, z.7. What happens when the Answer of problem 5 is equal to Answer of problem 6?

Warm-Up 21: Page 545: Pythagorean Theorem Proof.

22

j

k

k

j

m

m

xx

yy

zz

Review QA # 21Review QA # 21

You can work on Making up your QA’s

• Sit quietly and work.• Have your homework ready for me to

stamp.