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MA.8.GR.2.2 · Geometric Reasoning

Finding the Scale Factor of a Dilation: Sample FAST Questions

A dilation scales a figure up or down from a center point, and the scale factor is the ratio of an image side length to the matching original side length. Dilation preserves shape but not size, unless the scale factor happens to be 1.

How the FAST tests this benchmark

FAST items include equation editor answers for the scale factor and multiple choice items comparing two figures on a grid. Setting the ratio up backward turns a scale factor of 3 into 1/3, and that reciprocal is waiting in the answer choices on nearly every item.

Skills students need

  • Find a scale factor from corresponding side lengths
  • Tell an enlargement from a reduction
  • Explain why dilation preserves similarity but not congruence
  • Find an image side length from a scale factor

Try 6 real MA.8.GR.2.2 questions

These come straight from Algebro's 8th grade pre-algebra question bank, easiest first. Answer one, check it, then move to the next.

Question 1 of 6

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Question 1EasyEquation Editor
A photo 5 in wide is enlarged to 15 in wide. What is the scale factor of the enlargement?

Enter the number only. Do not include units like $, %, or ft²

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MA.8.GR.2.2: Dilations and Scale Factor Practice | Algebro