Grade 12 Math: Two-Column Proofs Worksheet
This worksheet provides practice with constructing two-column proofs for geometric theorems at a Grade 12 level, focusing on logical reasoning and justifications.
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Grade 12 Math: Two-Column Proofs
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Read each statement carefully and complete the two-column proofs. Provide a reason for every statement.
1. Given: AB = CD. Prove: AC = BD.
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2. Given: ∠1 and ∠2 are complementary. ∠1 and ∠3 are complementary. Prove: ∠2 ≅ ∠3.
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3. Given: Line m || Line n. Prove: ∠1 ≅ ∠3.
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4. Given: E is the midpoint of AC and BD. Prove: ΔAEB ≅ ΔCED.
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