Lines C and D are cut by a transversal, but are not known to be parallel. Choose all of the following...

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Lines C and D are cut by a transversal, but are not known to be parallel. Choose all of the following statements that, if true, would prove that C and D are parallel.
1. m∠1 + m∠3 = 180°
2. m∠5 + m∠6 = 180°
3. ∠7 ≅ ∠8
4. ∠4 ≅ ∠5
5. m∠3 + m∠5 = 90°

SnapAndSolve AI · Accepted Answer

1. This statement does not prove that lines C and D are parallel. It describes a linear pair, which is always supplementary.

2. This statement does not prove that lines C and D are parallel. It describes a linear pair, which is always supplementary.

3. This statement does not prove that lines C and D are parallel. Vertical angles are always congruent.

4. ∠4 ≅ ∠5 would prove that lines C and D are parallel because they are corresponding angles.

5. This statement does not prove that lines C and D are parallel. It describes a specific angle sum but does not relate to parallel lines.

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Lines C and D are cut by a transversal, but are not known to be parallel. Choose all of the following...

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