Triangle Congruence Theorems

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What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a theorem 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 ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a theorem that states if two angles and the included side of one triangle are equal to two angles and the corresponding 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 theorem that states if two sides and the included angle of one triangle are equal to two sides and the corresponding 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 theorem 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 is the definition of congruent triangles?

Back

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

Front

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

Back

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

Front

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

Back

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

Front

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

Back

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

Front

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

Back

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

Front

What is the relationship between the angles in similar triangles?

Back

In similar triangles, corresponding angles are equal, and the lengths of corresponding sides are proportional.