Triangle Congruence Theorems

Front

What is the definition of congruent triangles?

Back

Triangles that have the same size and shape, meaning their corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

What does SSS stand for in triangle congruence?

Back

Side-Side-Side; a criterion for triangle congruence stating that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What does SAS stand for in triangle congruence?

Back

Side-Angle-Side; a criterion for triangle congruence stating that 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.

Tags

CCSS.HSG.SRT.B.5

Front

What does ASA stand for in triangle congruence?

Back

Angle-Side-Angle; a criterion for triangle congruence stating that 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.

Tags

CCSS.HSG.SRT.B.5

Front

What does AAS stand for in triangle congruence?

Back

Angle-Angle-Side; a criterion for triangle congruence stating that 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.

Tags

CCSS.HSG.SRT.B.5

Front

What does HL stand for in triangle congruence?

Back

Hypotenuse-Leg; a criterion for triangle congruence 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, the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

How would you name the triangle that is congruent to triangle XYZ?

Back

Triangle XWZ.

Tags

CCSS.HSG.CO.B.7

Front

How would you name the triangle that is congruent to triangle CBA?

Back

Triangle ZYX.

Tags

CCSS.8.G.A.2

Front

Are the following triangles congruent? Triangle ABC and Triangle DEF with sides AB=DE, AC=DF, and BC=EF?

Back

Yes, SSS.

Tags

CCSS.HSG.SRT.B.5

Front

Are the following triangles congruent? Triangle GHI and Triangle JKL with sides GH=JK, HI=KL, and angle H=angle K?

Back

Yes, SAS.

Tags

CCSS.HSG.SRT.B.5