Triangle Congruence Proofs

Front

What does it mean if a line bisects a segment?

Back

It means that the line divides the segment into two equal parts.

Front

If DA bisects IE, what can we conclude about IA and EA?

Back

IA = EA.

Front

What is the congruency statement for angles F and G if they are congruent?

Back

∠F = ∠G.

Front

What is the statement for step 3 of a triangle congruence proof if ∡AED≅∡BEC?

Back

The statement is that angles AED and BEC are congruent.

Front

List the five ways to prove triangles congruent.

Back

SSS (Side-Side-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), SAS (Side-Angle-Side), HL (Hypotenuse-Leg for right triangles).

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, which means all three sides of one triangle are equal to the three sides of another triangle.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, which means two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, which means two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, which means two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

Front

What does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, which is a method to prove the congruence of right triangles using the hypotenuse and one leg.