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Unit 7 Review

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29 questions
Note from the author:
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This is the review for the Unit 7 Test on Wednesday, May 25th.

Complete the entire document for full credit.
This is the review for the Unit 7 Test on Wednesday, May 25th.

Complete the entire document for full credit.

7.1 Dilations

Question 1
1.
Use △ABC and its image △A'B'C' after a dilation to answer the following questions.

What is the ratio of the perimeters of ABC to A'B'C' ?

_______ to _______

Question 2
2.
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.
W': _______

X': _______

Y': _______

7.2 Ratios and Properties

Question 3
3.

Write the ratio in simplest form:

The hockey team played 82 regular-season games last year. If they won 44 games, what is the ratio of wins to losses?


Question 4
4.

Solve this proportion for x.

7.3 Similar Polygons

Question 5
5.
List all congruent angles if △XYZ~△RYS




∠_______ =∠_______
∠_______ =∠_______
∠_______ =∠_______
Question 6
6.

Question 7
7.
Find the length of each segment.


AC=_______
KB=_______
AB=_______
Question 8
8.
Find the length of each segment.


RS=_______
RT=_______
TV=_______

7.4 Similar Polygons w/Equations

Question 9
9.

USE THE SIMILARITY RELATIONSHIP TO FIND THE INDICATED VALUE:

If △AGM ~ △KXD; find x

7.5 Triangle Proportionality

Question 10
10.

Use the triangle proportionality to solve for x.


Question 11
11.

Use the triangle proportionality to solve for x.


Question 12
12.

△ABC~△XYZ, so find the missing height h


7.6 Proving Triangles Similar

Question 13
13.
State if the triangles in each pair are similar. If so, state how you know they are similar and complete the similarity statement.
Are they similar? _______

△CDE~△_______

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


Question 14
14.
State if the triangles in each pair are similar. If so, state how you know they are similar and complete the similarity statement.
Are they similar? _______

△KLM~△_______

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

Question 15
15.
State if the triangles in each pair are similar. If so, state how you know they are similar and complete the similarity statement.
Are they similar? _______

△JKL~△_______

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

7.7 Pythagorean Theorem

7.7 Similarity in Right Triangles

Question 16
16.

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

7.7 Pythagorean Theorem


7.7 Similarity in Right Triangles

Question 17
17.

Find the geometric mean between 3 and 12. (Remember to simplify your radical. Do not use decimals)

Question 18
18.

Solve for x.

Question 19
19.

Solve for x.

Question 20
20.

Solve for x.

7.8 Trigonometric Functions

Question 21
21.

Give each trig ratio as a fraction in simplest form.

Sin Q

Question 22
22.

Give each trig ratio as a fraction in simplest form.

Cos Q

Question 23
23.

Give each trig ratio as a fraction in simplest form.

Tan Q

Question 24
24.

Solve for x. Round to the nearest tenth.


Question 25
25.

Solve for x. Round to the nearest tenth.


Question 26
26.

Solve for x. Round to the nearest tenth.


Find the Missing Angles

Question 27
27.

Solve for x. Round to the nearest tenth.

Question 28
28.

Solve for x. Round to the nearest tenth.

Question 29
29.

Jake leaned a 12-foot ladder against his house. If the angle formed by the ladder and the ground is 68° , how far from the base of the house did he place the ladder?