Proving Triangles Congruent

Front

What is the SAS (Side-Angle-Side) Congruence Postulate?

Back

The SAS Congruence Postulate states that if two sides of one triangle are congruent to two sides of another triangle, and the included angle between those sides is also congruent, then the two triangles are congruent.

Front

What is the ASA (Angle-Side-Angle) Congruence Postulate?

Back

The ASA Congruence Postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

Front

What is the AAS (Angle-Angle-Side) Congruence Theorem?

Back

The AAS Congruence Theorem states that if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the two triangles are congruent.

Front

What is the SSS (Side-Side-Side) Congruence Postulate?

Back

The SSS Congruence Postulate states that if all three sides of one triangle are congruent to all three sides of another triangle, then the two triangles are congruent.

Front

What does it mean for two angles to be congruent?

Back

Two angles are congruent if they have the same measure, typically expressed in degrees or radians.

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 SAS postulate?

Back

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

Front

What information is needed to apply the ASA postulate?

Back

To apply the ASA postulate, you need two angles and the side between them to be congruent in both triangles.

Front

What is the significance of the included angle in the SAS postulate?

Back

The included angle is crucial in the SAS postulate because it must be between the two sides being compared for the triangles to be proven congruent.

Front

What is the difference between AAS and ASA?

Back

The difference is that in AAS, the side is not between the two angles, while in ASA, the side is between the two angles.