Triangle Congruence SSS, SAS, ASA, AAS, HL {Oh My!}

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for 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

SAS stands for 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

ASA stands for 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

AAS stands for 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 a 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

HL stands for 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

What does N/A mean in the context of triangle congruence?

Back

N/A means 'Not Applicable', indicating that the triangles cannot be proven congruent or there is not enough information to determine congruence.

Tags

CCSS.8.G.A.2

Front

If two triangles have three pairs of equal sides, what can be concluded?

Back

The triangles are congruent by the SSS criterion.

Tags

CCSS.8.G.A.2

Front

If two triangles have two pairs of equal sides and the included angle is equal, what can be concluded?

Back

The triangles are congruent by the SAS criterion.

Tags

CCSS.HSG.SRT.B.5

Front

If two triangles have two pairs of equal angles and the included side is equal, what can be concluded?

Back

The triangles are congruent by the ASA criterion.

Tags

CCSS.HSG.SRT.B.5

Front

If two triangles have two pairs of equal angles and a corresponding non-included side is equal, what can be concluded?

Back

The triangles are congruent by the AAS criterion.

Tags

CCSS.HSG.SRT.B.5