Overlapping 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 HL Theorem state?

Back

The HL (Hypotenuse-Leg) Theorem states that if the hypotenuse and one leg of a right triangle are equal to the hypotenuse and one leg of another right triangle, then the two triangles are congruent.

Front

What is the SSS Congruence Postulate?

Back

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

Front

What is the ASA Congruence Postulate?

Back

The ASA (Angle-Side-Angle) Congruence 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 triangles are congruent.

Front

What is the SAS Congruence Postulate?

Back

The SAS (Side-Angle-Side) Congruence 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 triangles are congruent.

Front

What is the AA Similarity Postulate?

Back

The AA (Angle-Angle) Similarity Postulate states that if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar, but not necessarily congruent.

Front

What additional information is needed to prove triangles are congruent by HL?

Back

To prove triangles are congruent by HL, you need to know that both triangles are right triangles and have one leg and the hypotenuse equal.

Front

What is a common side or angle in congruent triangles?

Back

A common side or angle is a side or angle that is shared between two congruent triangles, which helps in proving their congruence.

Front

Which theorem cannot be used to prove triangle MNK is congruent to triangle KLM?

Back

The HL Theorem cannot be used unless both triangles are right triangles.

Front

What additional information is needed to prove triangles are congruent by SSS?

Back

You need to know the lengths of all three sides of both triangles.