Triangle Congruence Proofs Review

A line that divides a segment into two equal parts at a 90-degree angle.

It creates two congruent segments.

They are congruent to each other.

Angles that are opposite each other when two lines intersect; they are always congruent.

Side-Side-Side; if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Angle-Side-Angle; if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.

Side-Angle-Side; if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Triangles that have the same size and shape; their corresponding sides and angles are equal.

It indicates that segments EA and IA are congruent, which is crucial for establishing triangle congruence.

It indicates that segments AC and CD are congruent, which can help in proving triangle congruence.