Congruent Triangle Proofs

Front

What are congruent triangles?

Back

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

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 is the significance of vertical angles in triangle congruence?

Back

Vertical angles are always congruent, which can be used as a reason in proofs involving triangle congruence.

Front

What is a segment bisector?

Back

A segment bisector is a line, ray, or segment that divides another segment into two equal parts.

Front

What does it mean for angles to be congruent?

Back

Two angles are congruent if they have the same measure.

Front

What is the Angle-Angle (AA) criterion for triangle congruence?

Back

The AA criterion states that if two angles of one triangle are congruent to two angles of another triangle, the triangles are similar, and if the third sides are also equal, they are congruent.

Front

What is the Side-Angle-Side (SAS) criterion for triangle congruence?

Back

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

Front

What is the Side-Side-Side (SSS) criterion for triangle congruence?

Back

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

Front

What is the purpose of a proof in geometry?

Back

The purpose of a proof is to provide a logical argument that demonstrates the truth of a geometric statement or theorem.

Front

What is the relationship between corresponding parts of congruent triangles?

Back

Corresponding parts of congruent triangles are equal, meaning that if two triangles are congruent, all their corresponding sides and angles are also congruent.