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PLEASE HELP!! (02.07)The figure shows two parallel lines AB and DE cut by the transversals AE and BD:


picture below


Which statement best explains the relationship between Triangle ABC and Triangle EDC ?


Triangle ABC is similar to triangle EDC , because m∠3 = m∠6 and m∠1 = m∠4

Triangle ABC is congruent to triangle EDC , because m∠3 = m∠4 and m∠1 = m∠5

Triangle ABC is congruent to triangle EDC , because m∠3 = m∠6 and m∠1 = m∠4

Triangle ABC is similar to triangle EDC , because m∠6 = m∠2 and m∠3 = m∠4

PLEASE HELP 0207The figure shows two parallel lines AB and DE cut by the transversals AE and BD picture belowWhich statement best explains the relationship betw class=

Respuesta :

Answer:  Choice B

Triangle ABC is congruent to triangle EDC , because m∠3 = m∠4 and m∠1 = m∠5

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Reason:

Angle 3 is congruent to angle 4 since they are vertical angles. Vertical angles are always congruent. Such angles form when we have an X shape like this, and the angles are opposite one another.

So this is why m∠3 = m∠4 is the case.

Because AB is parallel to DE, this means the alternate interior angles 1 and 5 are congruent. Therefore we can say m∠1 = m∠5

We have two pairs of congruent angles, which is sufficient info to use the AA (angle angle) similarity theorem to prove triangle ABC is similar to triangle EDC.

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