Triangle Congruence

Front

What does SSS stand for in triangle congruence?

Back

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

Front

What is the AAS theorem in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a theorem 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, then the triangles are congruent.

Front

What is the significance of congruent angles in triangles?

Back

Congruent angles in triangles indicate that the triangles may be similar or congruent, depending on the sides' relationships.

Front

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

Back

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

Front

What is the relationship between corresponding angles in congruent triangles?

Back

In congruent triangles, corresponding angles are equal.

Front

What is the definition of congruence in geometry?

Back

Congruence in geometry means that two figures have the same shape and size, allowing them to be superimposed on each other.

Front

What does the term 'corresponding sides' refer to in triangle congruence?

Back

Corresponding sides refer to sides in two triangles that are in the same relative position.

Front

What is the purpose of the triangle congruence postulates?

Back

The purpose of triangle congruence postulates is to provide criteria to determine whether two triangles are congruent based on their sides and angles.

Front

What is the ASA theorem in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a theorem stating that 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

How can you find the measure of an angle in a congruent triangle?

Back

You can find the measure of an angle in a congruent triangle by using the fact that corresponding angles in congruent triangles are equal.