2.2.2 Geometric Proof − Practice (continued)

5. Write a two-column proof for this plan. Given: ∠ 1 ≅ ∠ 3 Prove: ∠ 2 and ∠ 3 are supplementary.

6. Write a two-column proof for this plan. Given: QP ≅ MP and NP ≅ RP Prove: MN = QR .

Plan: Use the Linear Pair Theorem to show that ∠ 1 and ∠ 2 are supplementary. Then use the definition of supplementary angles, congruence, and substitution.

Plan: Use the definition of congruent segments to write the given information in terms of lengths. Then use the Segment Addition Postulate to show that MN = QR .

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