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Unit 7 Test 5/27/2022 v2

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16 questions
Note from the author:
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This is the Unit 7 Test.

Complete the entire document for full credit.
This is the Unit 7 Test.

Complete the entire document for full credit.

7.1 Dilations

Question 1
1.
Graph and label each figure and its image under a dilation with the given
scale factor. Assume all dilations use the origin as the center of dilation.
List the coordinates of the new triangle.

L': _______
M': _______
N': _______

7.2 Ratios and Properties

Question 2
2.

Solve this proportion for x.

7.4 Similar Polygons w/Equations

Question 3
3.
Find the length of each segment.


x=_______
KM=_______
KD=_______

7.5 Triangle Proportionality

Question 4
4.

If ∆PQR ~ ∆SQT, find the value of x.


Question 5
5.

If △PML~△TRQ, find QR.


7.6 Proving Triangles Similar

Question 6
6.
State if the triangles in each pair are similar. If so, state how you know they are similar and complete the similarity statement. If they are not, then put No in all three boxes.

Are they similar? _______

What is the postulate you used to prove they are similar?_______

△WUV~△_______


Question 7
7.
State if the triangles in each pair are similar. If so, state how you know they are similar and complete the similarity statement. If they are not, then put No in all three boxes.

Are they similar? _______

What is the postulate you used to prove they are similar?_______

△KJL~△_______


7.7 Pythagorean Theorem

7.7 Similarity in Right Triangles

Question 8
8.

Use the Pythagorean Theorem to find the missing side of the following triangle. Leave your answer in simplest radical form.

Question 9
9.

Solve for x.

7.8 Trigonometric Functions

Question 10
10.

Solve for x. Round to the nearest tenth.

Question 11
11.

Solve for x. Round to the nearest tenth.

Question 12
12.

Solve for x. Round to the nearest tenth.

Find the Missing Angles

Question 13
13.

Solve for x. Round to the nearest tenth.

Question 14
14.

Solve for x. Round to the nearest tenth.

Question 15
15.

Solve for x. Round to the nearest tenth.

Question 16
16.

A fireman leaned a 36-foot ladder against a building. If he placed the ladder 7 feet from
the base of the building, what angle is formed between the ladder and the ground?