From $8

Congruence & Similarity Worksheet

Grade 8 Math · printable worksheet (PDF) with answer key · 13 problems · CCSS 8.G.A.4, 8.G.A.5

A printable grade 8 congruence & similarity practice worksheet with 13 problems and a complete, step-by-step answer key — formatted to print cleanly on standard paper. Included in the one-time $20 unlock for the full NudgeLearn library.

Sample problems

Two figures are similar when one is a dilation (with optional rigid motions) of the other: matching angles are equal and matching sides are proportional. Find the scale factor, then set up a proportion to find each missing length. Keep answers exact.

  1. 1. The two rectangles are similar. What is the scale factor from the smaller rectangle to the larger one?
  2. 2. The two right triangles are similar, with the larger a dilation of the smaller. Find the lengths and .
  3. 3. Two similar figures have matching sides of in and in. Write the scale factor from the larger figure to the smaller figure as a fraction in lowest terms.
  4. 4. Rectangle measures cm by cm. Rectangle is similar to , and the side matching the cm side is cm. Find the length of the side of that matches the cm side.

Plus 9 more problems and a full answer key in the PDF.

Unlock this worksheet

Get it with all of Grade 8 Math for a one-time $8, or unlock the entire library (over 400 worksheets + 55 final tests, every grade) for $20. Yours forever.

See the free Grade 8 samples →