Question

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What is the next step in the proof? Choose the most logical approach.


Given: Transversal t passes through parallel lines r and s.
Prove: ∠3≅∠6
∠4≅∠5

Statement Reason
1. r || s given
2. ∠3≅∠7
∠4≅∠8 For parallel lines cut by a transversal, corresponding angles are congruent.
3.

Answer 1

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What is the next step in the proof? Choose the most logical approach.

Statement: ∠1≅∠8 and ∠2≅∠7
Reason: Congruent Supplements Theorem

Statement: m∠3+m∠4=180° and m∠7+m∠8=180°
Reason: Linear Pair Theorem

Statement: m∠3+m∠5=180° and m∠4+m∠6=180°
Reason: definition of supplementary angles

Statement: ∠7≅∠6 and ∠8≅∠5
Reason: Vertical Angles Theorem
Done

Given: Transversal t passes through parallel lines r and s.
Prove: ∠3≅∠6
∠4≅∠5

Statement Reason
1. r || s given
2. ∠3≅∠7
∠4≅∠8 For parallel lines cut by a transversal, corresponding angles are congruent.
3.