8th Grade Math (Math 8) · Chapter 9 · Lesson 9.3 · Printable PDF

Similarity Transformations Worksheet with Answer Key

8 problems on similarity transformations: sequences of dilations, reflections and rotations, a school banner design, a single rule for a sequence, pizza slices, a slant tool, and checking a student's claim. 3 pages, with a worked answer key.

8 problems3 pagesanswer key
Printable Similarity transformations worksheet with answer key - 8th Grade Math (Math 8) (Page 1 PDF preview)
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What's on the worksheet

  1. Find the unknown scale factor in a sequence of dilations and a reflection.
  2. Find the scale factor from a school banner design to a larger one.
  3. Write a single rule for each sequence and give its scale factor:
    Reflect in the line y = x, then dilate by \dfrac12.Dilate by 4, then translate by \langle -1, 3 \rangle.Translate by \langle 2, -1 \rangle, then dilate by 3.Dilate by 2, rotate 90° clockwise, then dilate by \dfrac32.
  4. Decide if pizza slices cut as sectors of circles are similar.
  5. Find the image of a square under a slant tool and decide if it is a similarity.
  6. Break a single rule into a dilation and a rotation and find its center.
  7. Reflect and dilate a trapezoid and describe what is preserved.
  8. Check Owen's claim that dilating with a center gives a congruent triangle.

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The free lesson teaches it with worked examples and practice problems.

Similarity transformations: the lesson ›

More Chapter 9 worksheets: Dilations and similarity