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Dilations and similarity

This classroom material helps 8th-grade students practice dilations and similarity by solving questions about scale factors, identifying transformations that produce similar figures, and calculating side lengths after dilation. It includes step-by-step exercises on dilating points with a given scale factor centered at the origin.

By Edform · Mathematics · Grade 8 · Published Oct 15, 2026 · New

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Questions

  1. Which transformation results in a figure that is similar but not congruent to the original?
  2. Which of the following statements are true about dilations?
  3. A triangle with side lengths 3, 4, and 5 is dilated by a scale factor of 2. What is the length of the longest side in the image?
  4. Put the steps in order to perform a dilation of a point (x, y) by a scale factor k centered at the origin.
  5. Fill in the blank: After a dilation with scale factor 1/2 centered at the origin, the point (8, 6) becomes (_, _).
  6. Choose the correct word: Figures are ___ if one can be obtained from the other by a dilation and possibly other transformations.
  7. Match each scale factor to its effect on a figure.
  8. Sort the following pairs of figures into 'Similar' or 'Not Similar'.
  9. For each statement about dilations, select True or False.
  10. What is the scale factor if a segment of length 5 is dilated to a segment of length 15?

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