Triangle Congruence

Front

What does AAS stand for in triangle congruence?

Back

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

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 equal to two sides and the included angle of another triangle, then the triangles are congruent.

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 equal to all three sides of another triangle, then the triangles are congruent.

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 equal to two angles and the included side of another triangle, then the triangles are congruent.

Front

What does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a theorem that applies 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.

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 equal to two angles and the corresponding non-included side of another triangle.

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 equal to two sides and the included angle of another triangle.

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 equal to all three sides of another triangle.

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 equal to two angles and the included side of another triangle.

Front

What is the significance of the HL theorem?

Back

The HL theorem is significant because it provides a method to prove the congruence of right triangles using only the hypotenuse and one leg.