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Transformations Worksheet

Geometry Math · printable worksheet (PDF) with answer key · 15 problems · CCSS HSG.CO.A.2, HSG.CO.A.5

A printable geometry transformations practice worksheet with 15 problems and a complete, step-by-step answer key — formatted to print cleanly on standard paper. Download the problem set and answer key below for free.

Sample problems

Give image coordinates or name the transformation. On the coordinate plane: reflect over the $x$ -axis $(x, y) \to (x, - y)$ , over the $y$ -axis $(x, y) \to (- x, y)$ , over $y = x$ $(x, y) \to (y, x)$ . Rotate about the origin $9 0^{\circ}$ CCW $(x, y) \to (- y, x)$ , $18 0^{\circ}$ $(x, y) \to (- x, - y)$ , $9 0^{\circ}$ CW $(x, y) \to (y, - x)$ . Dilate from the origin by multiplying each coordinate by the scale factor.

1. The point $(2, 5)$ is translated $3$ units right and $4$ units down. Give the coordinates of the image.
2. Point $A (3, 2)$ is reflected over the $x$ -axis. Give the coordinates of the image $A^{'}$ .
3. Point $B (- 2, 4)$ is reflected over the $y$ -axis. Give the coordinates of the image $B^{'}$ .
4. Point $C (4, 1)$ is reflected over the line $y = x$ . Give the coordinates of the image $C^{'}$ .

Plus 11 more problems and a full answer key in the PDF.

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Problem set (PDF)Answer key (PDF)

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