U2 Review 1: Proofs about Triangles and Quadrilaterals

Front

What is the ASA Triangle Congruence Theorem?

Back

The ASA (Angle-Side-Angle) Triangle Congruence Theorem states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

Front

What does CPCTC stand for?

Back

CPCTC stands for 'Corresponding Parts of Congruent Triangles are Congruent.' It is used to prove that corresponding sides or angles of congruent triangles are also congruent.

Front

When is CPCTC used in proofs?

Back

CPCTC is used in proofs when you need to show that corresponding parts of two congruent triangles are congruent, especially when the 'Prove' statement involves these parts.

Front

What is the definition of a parallelogram?

Back

A parallelogram is a quadrilateral with both pairs of opposite sides parallel.

Front

What is the opposite sides are congruent property?

Back

In a parallelogram, opposite sides are congruent, meaning they have equal lengths.

Front

What is the SSS Triangle Congruence Postulate?

Back

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

Front

What is the AAS Triangle Congruence Theorem?

Back

The AAS (Angle-Angle-Side) Triangle Congruence Theorem states that 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 two triangles are congruent.

Front

What is the SAS Triangle Congruence Theorem?

Back

The SAS (Side-Angle-Side) Triangle Congruence Theorem states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

Front

What is the Reflexive Property?

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 Vertical Angles Theorem?

Back

The Vertical Angles Theorem states that when two lines intersect, the opposite (vertical) angles are congruent.