Triangle Congruence Mixed Practice (No HL)

Front

What is Triangle Congruence?

Back

Triangle congruence refers to the condition where two triangles are identical in shape and size, meaning their corresponding sides and angles are equal.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a criterion for triangle congruence stating that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence stating that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a criterion for triangle congruence stating that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a criterion for triangle congruence stating that 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, the triangles are congruent.

Front

What is the importance of corresponding parts in triangle congruence?

Back

Corresponding parts are crucial in triangle congruence as they help establish the equality of angles and sides between two triangles, confirming their congruence.

Front

How can you determine if two triangles are congruent using the SSS criterion?

Back

To determine if two triangles are congruent using the SSS criterion, measure all three sides of both triangles. If all three sides of one triangle are equal to the corresponding sides of the other triangle, they are congruent.

Front

What additional information is needed for SSS congruence?

Back

For SSS congruence, you need to know the lengths of all three sides of both triangles.

Front

What additional information is needed for SAS congruence?

Back

For SAS congruence, you need to know the lengths of two sides and the measure of the included angle of both triangles.

Front

What is a congruence statement?

Back

A congruence statement is a mathematical expression that indicates that two geometric figures are congruent, typically written in the form of triangle names, such as △ABC ≅ △DEF.