The figure shows two parallel lines AB and DE cut by the transversals AE and BD:
AB and DE are parallel lines and AE and BD are transversals. The transversals intersect at C. Angle CAB is labeled 1, angle ABC is labeled 2, angle ACB is labeled 3, angle ACE is labeled 4, angle CDE is labeled 6, and angle CED is labeled 5.
Which statement best explains the relationship between Triangle ABC and Triangle EDC ? (4 points)
Triangle, 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
The correct statement is:
Triangle ABC is similar to triangle EDC, because m∠6 = m∠2 and m∠3 = m∠4