Grade 10 dilations from the origin worksheets

HSG-SRT.A.1 Measurement and geometry

Printable dilations from the origin worksheets for grade 10, aligned to Common Core standard HSG-SRT.A.1. Multiply both coordinates by the scale factor.

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Sample problems

Dilate the point (24, -24) from the origin by a scale factor of 1/4. (6, -6)
Dilate the point (-6, -5) from the origin by a scale factor of 4. (-24, -20)
Dilate the point (1, -8) from the origin by a scale factor of 2. (2, -16)
Dilate the point (5, 1) from the origin by a scale factor of 4. (20, 4)
Dilate the point (-14, -14) from the origin by a scale factor of 1/2. (-7, -7)
Dilate the point (32, -24) from the origin by a scale factor of 1/4. (8, -6)
Dilate the point (-2, 6) from the origin by a scale factor of 1/2. (-1, 3)
Dilate the point (28, -32) from the origin by a scale factor of 1/4. (7, -8)

These eight are one sample at medium difficulty — the generator makes a different set every time.

A worked example

Dilate the point (24, -24) from the origin by a scale factor of 1/4. (6, -6)

Multiply each coordinate by 1/4
x: 24 ÷ 4 = 6, y: (-24) ÷ 4 = -6
Image: (6, -6)

Every problem on the answer key can show its steps like this — turn on “Show steps” before downloading.

About these worksheets

Each problem states its own measurements, so the reasoning is the same but the arithmetic is new every time. Every sheet is generated fresh, so you can print a new one on the same skill as often as you need — different numbers, same difficulty.

Pick how many problems you want and whether they should be easy, medium or hard, then download a PDF with a matching answer key. The key can show the worked steps for every problem, which is what a parent needs to see where a wrong answer went wrong.

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