Question

Prove triangle ABC is congruent to triangle DEC.

Answer 1

Triangle ABC and DEC are said to congruent since all their sides and angles are equal.

How to prove the statement

The angle for triangle ABC lies in angle B

The angle for triangle DEC lies in angle E

From the diagram, angles B and E are alternate angles and alternate angles are equal.

A corresponds to D

B corresponds to E

The measure of their angles are also equal

Note, congruent triangles are triangles with three corresponding sides and angles

Therefore, triangle ABC and DEC are said to congruent since all their sides and angles are equal.

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