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**Dilations And Similar Figures**

Unit 5 Quiz Review Dilations And Similar Figures

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**1 – Dilate the figure by a scale factor of 200%**

Original Points A (0,4) B (-6,5) C (-8,5) D (-12, 4) New Points A’ ( ) B’ ( ) C’ ( ) D’ ( )

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**2- What is the scale factor of the reduction of from**

X Q 2 in 4 in R 1.5 in S Y 3 in Z

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3- If I dilate a figure by 175% the new figure will be _______ than the original figure. This is called a(n) _______________.

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4- If I dilate a figure by 75% the new figure will be _________ than the original figure. This is called a(n) _______________.

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**5- Dilate the point (3,7) by a scale factor of ½**

5- Dilate the point (3,7) by a scale factor of ½. Write the scale factor as a decimal and a percent. Write if the dilated figure will be bigger or smaller (in proper mathematical terms)

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**6. In the diagram below, what is the ratio of the area of Triangle PQR to the area of Triangle LMN?**

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**7. If the sides of two similar rectangles have a ratio of , what is the ratio of their areas?**

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8. If the ratio of two areas of two similar triangles is 1:16, what is the ratio of the sides of the similar triangles?

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2” 4” 2” 4” 9- Given the figures are similar, if the area of pentagon A is 12 square inches, what is the area of pentagon B?

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**10- What is the scale factor of the enlargement?**

36” 30” 24” 20” 10” 15”

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**11-What is the length of the missing side if the ratio of the areas (B:A) is 9/16?**

x in

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**12- What is the height of the tree?**

X ft. 4 ft. Boy’s shadow: 10 ft. Tree’s shadow: 50 ft.

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13- What relationship do you see between the ratio of sides of two similar rectangles and the ratio of the areas of two similar rectangles?

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