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Logic and Proof

Logic and Proof

Congruence, Equality, and Geometry Examples

Example 1

Prove that if two angles are supplementary to the same angle, then they are congruent.

Example 2

Identify all the pairs of congruent angles and segments in the following figure.

Example 3

In the figure, M is the midpoint of AC. Prove that M is the midpoint of BD.