Triangle Congruence and Proofs

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a criterion for triangle congruence where two angles and the included side of one triangle are congruent to two angles and the included side of another triangle.

Front

What is the SSS criterion for triangle congruence?

Back

SSS stands for Side-Side-Side, a criterion for triangle congruence where all three sides of one triangle are congruent to the three sides of another triangle.

Front

What is the SAS criterion for triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence where two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle.

Front

What is the Reflexive Property?

Back

Front

What is the Transitive Property?

Back

The Transitive Property states that if one quantity is congruent to a second quantity, and the second quantity is congruent to a third quantity, then the first quantity is congruent to the third.

Front

What is a congruence statement?

Back

Front

What does it mean for triangles to be congruent?

Back

Triangles are congruent if they have the same size and shape, meaning all corresponding sides and angles are equal.

Front

What is the importance of congruence in geometry?

Back

Congruence is important in geometry as it allows for the comparison of shapes and the establishment of relationships between different geometric figures.

Front

How can you prove triangles are congruent?

Back

You can prove triangles are congruent using criteria such as SSS, SAS, ASA, AAS (Angle-Angle-Side), or HL (Hypotenuse-Leg for right triangles).

Front

What is the AAS criterion for triangle congruence?

Back

AAS stands for Angle-Angle-Side, a criterion for triangle congruence where two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle.