3.23 Congruent Triangles - Determine the Method

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a method to prove triangles congruent by showing that two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a method to prove triangles congruent by showing 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

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a method to prove triangles congruent by showing that two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a method to prove triangles congruent by showing that all three sides of one triangle are equal to all three sides of another triangle.

Front

What does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a method to prove right triangles congruent by showing that the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle.

Front

How can you prove two triangles are congruent using the ASA method?

Back

To prove two triangles are congruent using the ASA method, you need to show that two angles and the side between them in one triangle are equal to the corresponding two angles and the side in the other triangle.

Front

How can you prove two triangles are congruent using the AAS method?

Back

To prove two triangles are congruent using the AAS method, you need to show that two angles and a non-included side in one triangle are equal to the corresponding two angles and the non-included side in the other triangle.

Front

How can you prove two triangles are congruent using the SAS method?

Back

To prove two triangles are congruent using the SAS method, you need to show that two sides and the included angle in one triangle are equal to the corresponding two sides and the included angle in the other triangle.

Front

How can you prove two triangles are congruent using the SSS method?

Back

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

Front

How can you prove two right triangles are congruent using the HL method?

Back

To prove two right triangles are congruent using the HL method, you need to show that the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of the other right triangle.