Geometry Proof Worksheet (3) - Practice problems with diagrams to prove angle relationships.

Geometry proof worksheet with four problems involving angles and lines, each with a diagram and a given statement to prove.

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Show Answer Key & Explanations Step-by-step solution for: Geometry Name: Proof Worksheet (3) Date: 1. Given: âˆ 3 â‰… âˆ 4 ...

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1. Since ∠3 ≅ ∠4, triangle ABC is isosceles with AC ≅ BC. Therefore, the base angles are congruent: ∠1 ≅ ∠2.

2. Since ∠1 ≅ ∠4 and ∠1 and ∠2 are vertical angles (∠1 ≅ ∠2), and ∠3 and ∠4 are vertical angles (∠3 ≅ ∠4), by transitive property, ∠2 ≅ ∠3.

3. Since ∠1 ≅ ∠3 and ∠1 and ∠2 are adjacent angles forming a straight line (linear pair), ∠1 + ∠2 = 180°. Substituting ∠3 for ∠1 gives ∠3 + ∠2 = 180°, so ∠2 is supplementary to ∠3.

4. Since ∠4 ≅ ∠6 and ∠4 and ∠5 are vertical angles (∠4 ≅ ∠5), by transitive property, ∠5 ≅ ∠6.

Parent Tip: Review the logic above to help your child master the concept of angle proofs worksheet.

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