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Grade 10 · Geometry

Congruence & similarity

603 problems in this skill, each with a solver-verified answer key. Answers are checked the moment you submit — with a hint if you want one and a worked solution afterwards.

What the problems look like

A few statements from this skill. Answers, hints and worked solutions live in the practice session.

  1. Warm-up

    Find the scale factor k of the similarity transformation that maps triangle ABC to triangle A'B'C' where AB = 6 and A'B' = 12.

  2. Warm-up

    Triangle ABC is similar to triangle DEF. If AB = 4 and DE = 12, what is the scale factor k of the similarity?

  3. Warm-up

    Two triangles are similar. Triangle PQR has side lengths 4, 5, 6. Triangle XYZ is similar with scale factor 3/2. Find the length of side XZ corresponding to side PQ.

Problems shown under their original terms: Generated (solver-verified).

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