5.2-5.3 Proving Triangles Congruent

Front

What does ASA stand for in triangle congruence?

Back

Angle-Side-Angle: A criterion for triangle congruence where two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

Front

What is the SSS criterion for triangle congruence?

Back

Side-Side-Side: A criterion stating that if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Front

Define SAS in the context of triangle congruence.

Back

Side-Angle-Side: A criterion for triangle congruence where two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

Front

What does AAS stand for in triangle congruence?

Back

Angle-Angle-Side: A criterion for triangle congruence where 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

Explain the HL criterion for triangle congruence.

Back

Hypotenuse-Leg: A criterion applicable to 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, then the triangles are congruent.

Front

What is the significance of congruent triangles in geometry?

Back

Congruent triangles have the same size and shape, which means their corresponding sides and angles are equal, allowing for various geometric proofs and applications.

Front

If two triangles have two angles equal, what can be concluded about their sides?

Back

The triangles are congruent by the AAS criterion, and their corresponding sides are proportional.

Front

What is the relationship between congruence and similarity in triangles?

Back

Congruent triangles are similar, but similar triangles are not necessarily congruent; similarity only requires proportional sides and equal angles.

Front

How can you prove that two triangles are congruent using the SSS criterion?

Back

Measure all three sides of both triangles; if all three pairs of corresponding sides are equal, the triangles are congruent.

Front

What is the difference between SAS and ASA criteria?

Back

SAS requires two sides and the included angle to be equal, while ASA requires two angles and the included side to be equal.