Dilations — Quiz

Question 4 • Geometry

Rita drew the pre-image of circle K with a dashed line and its image after dilation with a solid line. Which shows the dilation of circle K with a scale factor of 2?

Answer

Image with description On a coordinate plane, circle K has center point K at 0 comma 0 and a radius of 8. On the same coordinate plane, a circle has a center point at 0 comma 0 and a radius of 10.

Image with description On a coordinate plane, circle K has center point K at 0 comma 0 and a radius of 8. On the same coordinate plane, a circle has a center point at 0 comma 0 and a radius of 16.

Image with description On a coordinate plane, circle K has center point K at 0 comma 0 and a radius of 8. On the same coordinate plane, a circle has a center point at 0 comma 0 and a radius of 12.

Image with description On a coordinate plane, circle K has center point K at 0 comma 0 and a radius of 8. On the same coordinate plane, a circle has a center point at 0 comma 0 and a radius of 20.

Explanation

A dilation with a scale factor of 2 doubles every distance from the center. Circle K has radius 8, so the image’s radius should be 8 × 2 = 16. The choice showing a circle centered at (0, 0) with radius 16 is B.

AI-written and checked against the verified answer.

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