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

Work through problems with immediate feedback

Fluency Practice

Apply the properties of dilations directly. Show your reasoning.

Line $m$ passes through the center $C$ of a dilation with scale factor $k = 5$ . After the dilation, which best describes the image of line $m$ ?

The image is a new line parallel to $m$ .

The image is a new line perpendicular to $m$ .

The image is the same line $m$ — the line is unchanged.

The image does not exist because lines through the center are fixed points.