Congruent Triangle Proofs

Front

What is the Reflexive Property in geometry?

Back

The Reflexive Property states that any geometric figure is congruent to itself. For example, segment AB is congruent to segment AB.

Front

What additional information is required for two triangles to be congruent by SAS?

Back

Two sides and the included angle must be known.

Front

What does the statement ∠MNL ≌ ∠ONP indicate?

Back

It indicates that angle MNL is congruent to angle ONP.

Front

What is the definition of a midpoint?

Back

A midpoint is a point that divides a segment into two equal parts.

Front

What are the triangle congruence criteria?

Back

The main criteria are: SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side).

Front

Which of the following is NOT a triangle congruence criteria?

Back

SSA (Side-Side-Angle) is not a valid triangle congruence criterion.

Front

What does the term 'congruent triangles' mean?

Back

Congruent triangles are triangles that are identical in shape and size, meaning their corresponding sides and angles are equal.

Front

What is the Angle-Side-Angle (ASA) congruence criterion?

Back

The ASA criterion 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 Side-Angle-Side (SAS) congruence criterion?

Back

The SAS criterion 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 Angle-Angle-Side (AAS) congruence criterion?

Back

The AAS criterion 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 triangles are congruent.