SSS, SAS, ASA, AAS, HL Concept Check

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a criterion for triangle congruence that states if three sides of one triangle are equal to three sides of another triangle, then 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 that states if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then 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 that states if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then 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 that states if two angles and a non-included side of one triangle are equal to two angles and a non-included side of another triangle, then 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 that applies specifically 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, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What additional information is needed to prove triangles are congruent by SAS?

Back

To prove triangles are congruent by SAS, you need to know the lengths of two sides and the measure of the included angle.

Tags

CCSS.HSG.SRT.B.5

Front

What additional information is needed to prove triangles are congruent by SSS?

Back

To prove triangles are congruent by SSS, you need to know the lengths of all three sides of both triangles.

Tags

CCSS.HSG.SRT.B.5

Front

What additional information is needed to prove triangles are congruent by HL?

Back

To prove triangles are congruent by HL, you need to know the lengths of the hypotenuse and one leg of both right triangles.

Tags

CCSS.HSG.SRT.B.5

Front

What additional information is needed to prove triangles are congruent by ASA?

Back

To prove triangles are congruent by ASA, you need to know the measures of two angles and the length of the included side.

Tags

CCSS.HSG.SRT.B.5

Front

What additional information is needed to prove triangles are congruent by AAS?

Back

To prove triangles are congruent by AAS, you need to know the measures of two angles and the length of a non-included side.

Tags

CCSS.HSG.SRT.B.5