Triangle Congruence

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 the corresponding parts of another triangle.

Tags

CCSS.HSG.SRT.B.5

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 the corresponding parts of another triangle.

Tags

CCSS.HSG.SRT.B.5

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 the corresponding sides of another triangle.

Tags

CCSS.HSG.SRT.B.5

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 a non-included side of one triangle are equal to the corresponding parts of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What does HL stand for in triangle congruence?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

If two triangles have two sides of equal length and the included angle is equal, what can we conclude?

Back

The two triangles are congruent by the SAS criterion.

Tags

CCSS.HSG.SRT.B.5

Front

If two triangles have two angles of equal measure and the side between them is equal, what can we conclude?

Back

The two triangles are congruent by the ASA criterion.

Tags

CCSS.HSG.SRT.B.5

Front

If two triangles have all three sides of equal length, what can we conclude?

Back

The two triangles are congruent by the SSS criterion.

Tags

CCSS.8.G.A.2

Front

If two triangles have two angles of equal measure and one side not between them is equal, what can we conclude?

Back

The two triangles are congruent by the AAS criterion.

Tags

CCSS.HSG.SRT.B.5

Front

In a right triangle, if the hypotenuse and one leg are equal to another right triangle's hypotenuse and leg, what can we conclude?

Back

The two triangles are congruent by the HL criterion.

Tags

CCSS.HSG.SRT.B.5