Warmup on Proving Triangles Congruent

Front

What does AAS stand for in triangle congruence?

Back

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

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 equal to two angles and the included side of another triangle.

Front

What does SAS stand for in 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 equal to two sides and the included angle of another triangle.

Front

What does SSS stand for in triangle congruence?

Back

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

Front

What does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a criterion for triangle congruence applicable to right triangles, where the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of another right triangle.

Front

How can you determine if two triangles are congruent using AAS?

Back

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, then the triangles are congruent by AAS.

Front

How can you determine if two triangles are congruent using ASA?

Back

If two angles and the included side of one triangle are equal to two angles and the corresponding included side of another triangle, then the triangles are congruent by ASA.

Front

How can you determine if two triangles are congruent using SAS?

Back

If two sides and the included angle of one triangle are equal to two sides and the corresponding included angle of another triangle, then the triangles are congruent by SAS.

Front

How can you determine if two triangles are congruent using SSS?

Back

If all three sides of one triangle are equal to all three sides of another triangle, then the triangles are congruent by SSS.

Front

How can you determine if two right triangles are congruent using HL?

Back

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 by HL.