Back to Verify dilation properties — Problem 3 · 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.

$Two parallel lines with slope 2. The original line ell is closer to center C; the image line ell-prime is farther, shifted by the dilation but maintaining the same slope.$

Line $\ell$ has slope $2$ and does not pass through center $C$ . After a dilation with center $C$ and scale factor $k = 3$ , what is the slope of the image line $\ell'$ ?