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We are given AB ∥ DE. Because the lines are parallel and segment CB crosses both lines, we can consider segment CB a transversal of the parallel lines. Angles CED and CBA are corresponding angles of transversal CB and are therefore congruent, so ∠CED ≅ ∠CBA. We can state ∠C ≅ ∠C using the reflexive property. Therefore, △ACB ~ △DCE by the AA similarity theorem. SSS similarity theorem. AAS similarity theorem. ASA similarity theorem.

2 Answers

4 votes

Answer:

A. AA similarity theorem.

Step-by-step explanation:
Edge 2022.

answered
User German Blanco
by
8.6k points
4 votes

Answer:

your answer is A) AA similarity theorem

Step-by-step explanation:

have a great day, good luck on your test

answered
User Pedorro
by
8.6k points
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