# 7.8: Chapter 7 Review

Difficulty Level:

**At Grade**Created by: CK-12Turn In

## Keywords and Theorems

**Rations & Proportions**

- Ratio
- Proportion
- Means
- Extremes
- Cross-Multiplication Theorem
- Corollary
- Corollary 7-1
- Corollary 7-2
- Corollary 7-3
- Corollary 7-4
- Corollary 7-5

**Similar Polygons**

- Similar Polygons
- Scale Factor
- Theorem 7-2

**Similarity by AA**

- AA Similarity Postulate
- Indirect Measurement

**Similarity by SSS and SAS**

- SSS Similarity Theorem
- SAS Similarity Theorem

**Proportionality Relationships**

- Triangle Proportionality Theorem
- Triangle Proportionality Theorem Converse
- Theorem 7-7
- Theorem 7-8

**Dilations**

- Dilation

**Self-Similarity**

- Self-Similar
- Fractal

## Review Questions

- Solve the following proportions.
- \begin{align*}\frac{x+3}{3} = \frac{10}{2}\end{align*}
- \begin{align*}\frac{8}{5} = \frac{2x-1}{x+3}\end{align*}

- The extended ratio of the angle in a triangle are 5:6:7. What is the measure of each angle?
- Rewrite 15 quarts in terms of gallons.

Determine if the following pairs of polygons are similar. If it is two triangles, write *why* they are similar.

- Draw a dilation of \begin{align*}A(7, 2), B(4, 9),\end{align*} and \begin{align*}C(-1, 4)\end{align*} with \begin{align*}k = \frac{3}{2}\end{align*}.

** Algebra Connection** Find the value of the missing variable(s).

## Texas Instruments Resources

*In the CK-12 Texas Instruments Geometry FlexBook, there are graphing calculator activities designed to supplement the objectives for some of the lessons in this chapter. See http://www.ck12.org/flexr/chapter/9692.*

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Date Created:

Feb 22, 2012
Last Modified:

Aug 15, 2016
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