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 two sides and the included angle 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 two angles and the included side 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 all three 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 two angles and the corresponding non-included side 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 hypotenuse and one leg of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

If two triangles have two pairs of equal angles, what can we conclude?

Back

The two triangles are congruent by the AAS criterion.

Tags

CCSS.HSG.SRT.B.5

Front

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

Back

The two triangles are congruent by the SSS criterion.

Tags

CCSS.HSG.SRT.B.5

Front

If two triangles have one pair of equal angles and the corresponding non-included side is equal, what can we conclude?

Back

The two triangles are congruent by the AAS criterion.

Tags

CCSS.8.G.A.2

Front

What is the significance of congruent triangles in geometry?

Back

Congruent triangles have the same shape and size, which means their corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2