Intro to Triangle Congruence

Front

What is Triangle Congruence?

Back

Triangle Congruence refers to the condition where two triangles are identical in shape and size, meaning their corresponding sides and angles are equal.

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What are the criteria for triangle congruence?

Back

The criteria for triangle congruence include: SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), and HL (Hypotenuse-Leg for right triangles).

Front

What does SSS stand for in triangle congruence?

Back

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

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, which means 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.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, which means 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.

Front

What does AAS stand for in triangle congruence?

Back

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

Front

What does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, which is a criterion for right triangles stating that if the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of another right triangle, the triangles are congruent.

Front

How can you determine if two triangles are congruent using corresponding parts?

Back

Two triangles are congruent if all three pairs of corresponding sides and all three pairs of corresponding angles are equal.

Front

What is a corresponding angle in triangle congruence?

Back

A corresponding angle is an angle in one triangle that is equal to an angle in another triangle when the triangles are congruent.

Front

What is a corresponding side in triangle congruence?

Back

A corresponding side is a side in one triangle that is equal in length to a side in another triangle when the triangles are congruent.