Grade 8 | Unit 2: Dilations, Similarity, and Introducing Slope | End-of-Unit Assessment (B)

Han’s teacher asked him to draw a polygon similar to polygon A. Here is his work. Which explanation shows that polygons A and C are similar to each other?

• Use a protractor to measure all four angles in polygon A and all four angles in polygon C. Since each angle in polygon A has a matching angle measure in polygon C, the polygons are similar.

• Since each side in polygon C is three times as long as the corresponding side in polygon A, the figures are similar.

• Dilate polygon C with center at the upper-right corner and a scale factor of 3. Since polygon C can be taken to polygon A with a dilation, the polygons are similar.

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8.G.A.4

Select the true statement.

• Dilations of an angle must be congruent to the original angle.

• Dilations of a triangle must be congruent to the original triangle.

• Dilations of a segment must be congruent to the original segment.

• Dilations of a circle must be congruent to the original circle.

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8.G.A

Find the slope of line A.

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8.EE.B.6

Find the slope of line B.

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8.EE.B.6

Find the slope of line C.

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8.EE.B.6

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8.G.A.5

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8.G.A.4

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8.EE.B.6

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8.G.A.4