SSS and SAS Triangle Congruence

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a postulate that states if three sides of one triangle are equal to three sides 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 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

What is the Angle-Angle-Side (AAS) theorem?

Back

The AAS theorem states 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, then the triangles are congruent.

Front

What is the Angle-Side-Angle (ASA) theorem?

Back

The ASA theorem states that 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 is the significance of the included angle in SAS?

Back

In SAS, the included angle is the angle formed between the two sides being considered for congruence. It is crucial for establishing triangle congruence.

Front

True or False: In triangle congruence, the order of the vertices matters.

Back

True. The order of the vertices in the congruence statement indicates which angles and sides correspond to each other.

Front

What is the definition of an included side?

Back

An included side is the side of a triangle that lies between two angles.

Front

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

Back

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

Front

What is the definition of a congruence statement?

Back

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