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Congruence and similarity test

Students practise congruence and similarity with transformations, scale factors, and angle relationships by answering short multiple-choice and select-all questions, plus coordinate mapping and corresponding-side problems; includes first-question drills. Level: 8th grade.

By Edform · Mathematics · Grade 8 · Published Oct 28, 2026 · New

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Questions

  1. Which transformation maps a figure to a congruent figure?
  2. A translation maps each point (x, y) to (x + 3, y - 2). Where does the point (-1, 4) move?
  3. Which transformations always preserve both lengths and angle measures? Select all that apply.
  4. A side of a figure is 8 units long. Its corresponding side in a similar image is 12 units long. What is the scale factor from the original figure to the image?
  5. A dilation with scale factor 1/2 preserves angle measures but reduces the length of every nonzero segment to half its original length.
  6. Which statements describe properties of similar figures? Select all that apply.
  7. What transformation turns a figure around a fixed point?
  8. Triangle PQR is congruent to triangle XYZ in that order. If angle Q measures 68°, what is the measure of angle Y?
  9. If two figures are congruent, they are also similar with a scale factor of 1.
  10. Which statements about a reflection are true? Select all that apply.

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