Congruent Triangles

Front

What is the Side-Side-Side (SSS) postulate?

Back

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

Front

What does the Side-Angle-Side (SAS) postulate state?

Back

The SAS 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 is the Angle-Side-Angle (ASA) postulate?

Back

The ASA 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 Angle-Angle-Side (AAS) postulate state?

Back

The AAS 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

Can two triangles be congruent if only one side is known?

Back

No, at least two sides and the included angle or two angles and a side are needed to prove congruence.

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 importance of congruent triangles in geometry?

Back

Congruent triangles are used to prove various geometric properties and theorems, and they help in solving problems related to triangle similarity and congruence.

Front

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

Back

Measure the lengths of all three sides of both triangles. If all three pairs of corresponding sides are equal, the triangles are congruent.

Front

What is the relationship between congruent triangles and parallel lines?

Back

Congruent triangles can be formed when parallel lines are cut by a transversal, creating equal corresponding angles.

Front

What is the difference between congruence and similarity in triangles?

Back

Congruence means the triangles are the same size and shape, while similarity means they have the same shape but may differ in size.