4.7 Congruent Postulates

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 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 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 equal to two angles and the corresponding non-included side 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 HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a postulate 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.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.

Front

How can you prove triangles are congruent using the ASA postulate?

Back

To prove triangles are congruent using the ASA postulate, you need to show that two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

Front

How can you prove triangles are congruent using the SAS postulate?

Back

To prove triangles are congruent using the SAS postulate, you need to show that two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

Front

How can you prove triangles are congruent using the AAS postulate?

Back

To prove triangles are congruent using the AAS postulate, you need to show that 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

How can you prove triangles are congruent using the SSS postulate?

Back

To prove triangles are congruent using the SSS postulate, you need to show that all three sides of one triangle are equal to all three sides of another triangle.