Test
Geometry proofs practice
A 10th-grade geometry practice material focused on two-column proofs, involving identifying valid reasons for congruences, arranging proof steps correctly, and completing reasoning statements concerning triangle congruence and CPCTC.
By Edform · Mathematics · Grade 10 · Published Oct 15, 2026 · New
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Questions
- Which of the following is a valid reason for stating that two angles are congruent after proving two triangles are congruent?
- Put the steps of a two-column proof in the correct order to prove triangles ABC and DEF are congruent given AB = DE, BC = EF, and angle B = angle E.
- Which of the following are acceptable reasons in a two-column proof?
- Fill in the blank with the correct reason: If two triangles are proven congruent, then their corresponding sides are congruent by ___.
- Match each statement with the correct reason.
- Choose the correct justification: In triangle proofs, the ___ is used to state that a side shared by two triangles is congruent to itself.
- Sort the following as 'Statement' or 'Reason' in a two-column proof.
- Mark each statement as true or false regarding two-column proofs.
- If triangle ABC is congruent to triangle DEF and AB = 5 units, what is the length of DE?
- What is the abbreviation for 'Corresponding Parts of Congruent Triangles are Congruent'?
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