Congruent Triangles

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 does the SAS postulate state?

Back

The SAS (Side-Angle-Side) postulate states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the two triangles are congruent.

Front

What does the ASA postulate state?

Back

The ASA (Angle-Side-Angle) postulate states 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 two triangles are congruent.

Front

What does the AAS postulate state?

Back

The AAS (Angle-Angle-Side) postulate 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 two triangles are congruent.

Front

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

Back

The included angle is the angle formed between the two sides being compared. It is crucial for establishing congruence in the SAS postulate.

Front

What is the significance of the included side in the ASA postulate?

Back

The included side is the side that is between the two angles being compared. It is essential for establishing congruence in the ASA postulate.

Front

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

Back

The SSS (Side-Side-Side) postulate states that if all three sides of one triangle are equal to the three sides of another triangle, then the two triangles are congruent.

Front

What is the difference between congruence and similarity in triangles?

Back

Congruent triangles are identical in size and shape, while similar triangles have the same shape but may differ in size.

Front

What additional information is needed to prove triangles congruent using ASA?

Back

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

Front

What additional information is needed to prove triangles congruent using AAS?

Back

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