Similar Figures — Quiz

Question 22 • Geometry

Which graph shows a dilation?

Answer

Image with description On a coordinate plane, a square and a rectangle are shown. The square is 2 units wide and 2 units high. The rectangle is 8 units wide and 4 units high.

Image with description On a coordinate plane, 2 rectangles are shown. The larger rectangle is 7 units wide and 4 units high. The smaller rectangle is 3 units wide and 1 unit high.

Image with description On a coordinate plane, 2 rectangles are shown. The larger rectangle is 7 units wide and 4 units high. The smaller rectangle is 3 units wide and 2 units high.

Image with description On a coordinate plane, 2 rectangles are shown. The larger rectangle is 8 units wide and 4 units high. The smaller rectangle is 4 units wide and 2 units high.

Explanation

A dilation preserves shape, so the rectangles must have the same ratio of width to height. In choice C, the larger rectangle’s ratio is 8 ÷ 4 = 2, and the smaller rectangle’s ratio is 4 ÷ 2 = 2. Since the ratios match, choice C shows a dilation.

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