7.8: Chapter 7 Review

Difficulty Level: At Grade Created by: CK-12

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

1. Solve the following proportions.
1. \begin{align*}\frac{x+3}{3} = \frac{10}{2}\end{align*}
2. \begin{align*}\frac{8}{5} = \frac{2x-1}{x+3}\end{align*}
2. The extended ratio of the angle in a triangle are 5:6:7. What is the measure of each angle?
3. 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.

1. 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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