Geometry · Chapter 7 · Lesson 7.8 · Printable PDF

Dilations Worksheet with Answer Key

7 problems on dilations: images of points from a center and scale factor, number line dilations, map zoom, finding the original point, finding the center, and a segment dilated about its midpoint. 2 pages, with a worked answer key.

7 problems2 pagesanswer key
Printable Dilations worksheet with answer key - Geometry (Page 1 PDF preview)
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What's on the worksheet

  1. Find the image of each point under a dilation at the origin:
    (5, −2), k = 3(−12, 20), k = \dfrac14(−6, −10), k = 1.5(0, 7), k = \dfrac27(6, −9), k = \dfrac53
  2. Find images on a number line with center -1 and scale factor 3, and the number with a given image.
  3. Find distances from the spot when Hannah zooms a map by a factor of 4.
  4. Find the original point from its image, center and scale factor.
  5. Decide which points could be the image of P and give the scale factor.
  6. Find the center of a dilation by drawing lines through matching points of two triangles.
  7. Dilate a segment about its midpoint and find the new length.

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Dilations: the lesson ›