Congruent Triangle Proofs with CPCTC

Front

What does CPCTC stand for?

Back

Corresponding Parts of Congruent Triangles are Congruent.

Front

Which triangle congruence statement supports the congruence of the given triangles: ∆ABC≅∆DEF?

Back

AAS (Angle-Angle-Side) postulate.

Front

What is the Reflexive Property in geometry?

Back

A property stating that any geometric figure is congruent to itself.

Front

What is the Definition of Midpoint?

Back

A point that divides a segment into two equal parts.

Front

What is the Vertical Angles Theorem?

Back

Vertical angles are congruent.

Front

If DA is perpendicular to IE, what can we conclude about angles IAD and DAE?

Back

Front

What is the ASA postulate?

Back

Angle-Side-Angle: If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

Front

What is the AAS postulate?

Back

Angle-Angle-Side: If two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.

Front

What is the significance of CPCTC in triangle proofs?

Back

It allows us to conclude that corresponding parts of congruent triangles are also congruent.

Front

What is the definition of congruent triangles?

Back

Triangles that have the same size and shape, meaning all corresponding sides and angles are equal.