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Illustrative Mathematics - Geometry - Unit 5 - Lesson 5

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1.

A circle with an area of 8\pi square centimeters is dilated so that its image has an area of 32\pi square centimeters. What is the scale factor of the dilation?

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7.

A triangle has an area of 6 square inches and a perimeter of 12 inches. Suppose it is dilated by some scale factor, and the area and perimeter of the image are calculated.

Match each graph with the relationship it represents.

Draggable itemarrow_right_altCorresponding Item

Graph D

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scale factor is the x-value; perimeter is the y-value

Graph C

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scale factor is the x-value; area is the y-value

Graph A

arrow_right_alt

perimeter is the x-value; scale factor is the y-value

Graph B

arrow_right_alt

perimeter is the x-value; scale factor is the y-value

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16.

Select all solids whose cross sections are dilations of some two-dimensional shape using a point directly above the shape as a center and scale factors ranging from 0 to 1.

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17.

Select all expressions which give the measure of angle A.

This lesson is from Illustrative Mathematics. Geometry, Unit 5, Lesson 5. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/2/5/5/index.html ; accessed 29/July/2021.

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