Write a formal proof of the following theorem. If two parallel lines are cut by a transversal, then the pairs of alternate exterior angles are congruent. Given: Prove: ---Select--- If two lines intersect, vertical ?s formed are ?. Transitive Property of Congruence Given Statements | Reasons 1. ---Select--- | 1. ---Select--- 2. ---Select--- | 2. If two ? lines are cut by a transversal, corresponding ?s are ?. 3. ---Select--- | 3. ---Select--- 4. ---Select--- | 4. ---Select--- ---Select--- ?1 ? ?3 ? ? m; transversal t ?3 ? ?2 ?1 ? ?2
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Step 1: Given that two parallel lines are cut by a transversal, we know that corresponding angles are congruent. Show more…
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Write a formal proof of the following theorem. If two parallel lines are cut by a transversal, then the pairs of alternate exterior angles are congruent. ---Select--- If two lines intersect, vertical ∠s formed are ≅. Transitive Property of Congruence Given Given: Prove: Statements Reasons 1. 2. If two || lines are cut by a transversal, corresponding ∠s are ≅. 3. 4. ∠1 ≅ ∠3 l || m; transversal t ∠3 ≅ ∠2 ∠1 ≅ ∠2
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