AnswersIntegrated Math II B - SHARPSimilar Triangles

Topic Test Answers

10 verified answers
1
Free Preview

Analyze the diagram below and complete the instructions that follow.Find the value of x.

Question illustration
A
7
B
9
C
11
D
12
2
Free Preview

Choose the statement that is always true.

A
Two rectangles are similar.
B
Two similar polygons are congruent.
C
Two congruent triangles are similar.
D
Two acute triangles are similar.
3

Find the geometric mean of 5 and 320.

A
35
B
40
C
45
D
50
4

Use the information below to find such that . A. B. C. D. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
5

The vertices of triangle R'S'T' are R'(1, 3), S'(6, 4), and T'(4, 2). If triangle RST was dilated about the origin with a scale factor of 3, what are the coordinates of its vertices?

Question illustration
A
R(–3, –1), S(–4, –6), T(–2, –4)
B
R(, 1), S(2, ), T(, )
C
R(1, –3), S(6, –4), T(4, –2)
D
R(3, 9), S(18, 12), T(12, 6)
6

Analyze the diagram below and complete the instructions that follow. Calculate the scale factor. A. C. B. D. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
7

What are the coordinates of the image of the point (–3, 6) after a dilation with a center of (0, 0) and scale factor of ?

Question illustration
A
(–9, 18)
B
(–3, 6)
C
(–1, 2)
D
(0, 0)
8

Analyze the diagram below and complete the instructions that follow. Analyze the diagram below and complete the instructions that follow. If , find the value of x and the value of z. A. B. C. D. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
9

Analyze the diagram below and answer the question that follows.17th Street, 18th Street, 19th Street, and 20th Street are parallel streets that intersect 1st Avenue and 2nd Avenue. How long is 2nd Avenue between 18th Street and 17th Street, to the nearest foot?

Question illustration
A
625 ft
B
655 ft
C
671 ft
D
683 ft
10

Determine the value of x. DO,k(x, 9) → (–10, –6)

A
5
B
7
C
12
D
15
11

Analyze the diagram below and complete the instructions that follow.Complete the proportion based on the similar triangles in the diagram.

Question illustration
A
ST
B
TS
C
QR
D
SR
12

Analyze the diagram below and complete the instructions that follow. Analyze the diagram below and complete the instructions that follow. Find x. Round the answer to the nearest tenth.

Question illustration
A
1.7
B
1.9
C
2.1
D
2.2
13

Under a dilation centered at the origin, the image is congruent to the preimage. What is the scale factor?

A
–1 or 0
B
0 or 1
C
only 1
D
–1 or 1
14

Analyze the diagram below and answer the question that follows. Photo by George M. Groutas, images by e2020Jake wanted to measure the height of the Great Sphinx of Giza. He placed a mirror on the ground and then walked backwards until he was able to see the top of the statue in the mirror. If his eyes were 5.5 feet above the ground, how tall is the statue, to the nearest foot?

Question illustration
A
65 ft
B
87 ft
C
103 ft
D
137 ft
15

Analyze the diagram below and complete the instructions that follow.If , solve for x. The image is not drawn to scale.

Question illustration
A
x = 2
B
x = 3
C
x = 4
D
x = 13
16

Analyze the diagram below and complete the statement that follows. If , , , and , then _____.

Question illustration
A
10
B
15.5
C
22.5
D
36
17

Analyze the diagram below and complete the instructions that follow.The polygons above are similar. Find x and y. The images are not drawn to scale.

Question illustration
A
x = 15, y = 18
B
x = 18, y = 14
C
x = 18, y = 16
D
x = 21, y = 14
18

Analyze the diagram below and answer the question that follows.Which theorem or postulate justifies that ?

Question illustration
A
AA similarity postulate
B
SAS similarity theorem
C
SSS similarity theorem
D
SSA similarity theorem
19

Analyze the diagram below and answer the question that follows.Is ? Justify your answer. The image is not drawn to scale.

Question illustration
A
No, the sides are not in proportion.
B
No, the corresponding angles are not congruent.
C
Yes, with a scale factor of 9:8.
D
Yes, with a scale factor of 8:9.
20

is an image created by a dilation centered at the origin with a scale factor . The vertices of are Q'(–2, 1), P'(1 ,2), and R'(–1, 3). What are the coordinates of the vertices of the preimage, ?

Question illustration
A
Q(–8, 4), P(4, 8), R(–4, 12)
B
Q(–1, –2), P(–2, 1), R(–3, –1)
C
Q(, ), P(, ), R(, )
D
Q(2, 1), P(–1, 2), R(1, 3)

Did you find these answers helpful?

More from this Course

Quiz
1 verified answers

Topic Test

Quiz
25 verified answers

Unit Test

Quiz
11 verified answers

Topic Test