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Biblioteka

Unit 7 Review

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Napomena autora:

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

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7.2 Ratios and Properties

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7.3 Similar Polygons

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7.4 Similar Polygons w/Equations

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7.5 Triangle Proportionality

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7.6 Proving Triangles Similar

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7.8 Trigonometric Functions

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Find the Missing Angles

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Pitanje 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

Pitanje 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':

Pitanje 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?

Pitanje 4
4.

Solve this proportion for x.

Pitanje 5
5.

List all congruent angles if △XYZ~△RYS

∠ =∠

∠ =∠

∠ =∠

Pitanje 6
6.

Pitanje 7
7.

Find the length of each segment.

AC=

KB=

AB=

Pitanje 8
8.

Find the length of each segment.

RS=

RT=

TV=

Pitanje 9
9.

USE THE SIMILARITY RELATIONSHIP TO FIND THE INDICATED VALUE:

If △AGM ~ △KXD; find x

Pitanje 10
10.

Use the triangle proportionality to solve for x.

Pitanje 11
11.

Use the triangle proportionality to solve for x.

Pitanje 12
12.

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

Pitanje 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?

Pitanje 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?

Pitanje 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

Pitanje 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

Pitanje 17
17.

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

Pitanje 18
18.

Solve for x.

Pitanje 19
19.

Solve for x.

Pitanje 20
20.

Solve for x.

Pitanje 21
21.

Give each trig ratio as a fraction in simplest form.

Sin Q

Pitanje 22
22.

Give each trig ratio as a fraction in simplest form.

Cos Q

Pitanje 23
23.

Give each trig ratio as a fraction in simplest form.

Tan Q

Pitanje 24
24.

Solve for x. Round to the nearest tenth.

Pitanje 25
25.

Solve for x. Round to the nearest tenth.

Pitanje 26
26.

Solve for x. Round to the nearest tenth.

Pitanje 27
27.

Solve for x. Round to the nearest tenth.

Pitanje 28
28.

Solve for x. Round to the nearest tenth.

Pitanje 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?