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Prove that triangle BEA is congruent to triangle EDC with a two column proof.

Prove that triangle BEA is congruent to triangle EDC with a two column proof.-example-1
User Ziima
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1 Answer

6 votes

Statement 1: BA || EC

Reason 1: Given

Statement 2: BA = EC

Reason 2: Given

Statement 3: Angle A = Angle C

Reason 3: Given

Statement 4: angle ABE = angle CED

Reason 4: Corresponding Angles

Statement 5: Triangle BEA = Triangle EDC

Reason 5: ASA Congruence

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Extra notes:

* The line segment BD is the transversal cut to the parallel segments BA and EC.

* The tickmarks on segments BA and EC are visual indicators telling us that the two segments are the same length, aka congruent

* ASA used in line 5 stands for "angle side angle". The congruent sides are between the two pairs of congruent angles.

User Prak
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