Triangle Congruence Theorems

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a postulate that states if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side 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 postulate that states if two angles and the included side of one triangle are congruent to two angles and the corresponding included side 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 postulate that states if two sides and the included angle of one triangle are congruent to two sides and the corresponding included angle of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a postulate that states if all three sides of one triangle are congruent to all three sides 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 theorem that states if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

When can you use the AAS postulate?

Back

You can use the AAS postulate when you know two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

When can you use the ASA postulate?

Back

You can use the ASA postulate when you know two angles and the included side of one triangle are congruent to two angles and the corresponding included side of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

When can you use the SAS postulate?

Back

You can use the SAS postulate when you know two sides and the included angle of one triangle are congruent to two sides and the corresponding included angle of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

When can you use the SSS postulate?

Back

You can use the SSS postulate when you know all three sides of one triangle are congruent to all three sides of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

When can you use the HL theorem?

Back

You can use the HL theorem when you are dealing with right triangles and know the lengths of the hypotenuse and one leg of both triangles.