Back to Verify dilation properties — Problem 1 · Task Set 14

Exercises: Properties of Dilations

Work through each section in order. Show your work where indicated.

Grade 9·20 problems·~30 min·Common Core Math - HS Geometry·standard·hsg-srt-a-1

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Fluency Practice

Apply the properties of dilations directly. Show your reasoning.

$Coordinate plane showing triangle ABC and its dilation A'B'C' with center at the origin and scale factor 2. Dashed rays connect the center through each pair of corresponding vertices.$

Triangle $ABC$ has vertices $A(1, 1)$ , $B(3, 1)$ , and $C(1, 3)$ . A dilation with center $O(0, 0)$ and scale factor $k = 2$ maps each vertex to $A' = (2, 2)$ , $B' = (6, 2)$ , and $C' = (2, 6)$ . What is the length of side $A'B'$ ?