Triangle congruence Proofs

Front

What is the Hypotenuse-Leg (HL) theorem?

Back

The HL theorem states that if a right triangle has a hypotenuse and one leg that are congruent to the hypotenuse and one leg of another right 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

What are the three main triangle congruence criteria?

Back

The three main triangle congruence criteria are: 1. SSS (Side-Side-Side), 2. SAS (Side-Angle-Side), 3. AAS (Angle-Angle-Side).

Front

Which triangle congruence criterion is NOT valid?

Back

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

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.

Front

How do you prove triangles are congruent using SAS?

Back

To prove triangles are congruent using SAS, show that two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle.

Front

What is the AAS congruence criterion?

Back

AAS (Angle-Angle-Side) states that if two angles and the non-included side of one triangle are congruent to two angles and the non-included side of another triangle, then the triangles are congruent.

Front

What is the SSS congruence criterion?

Back

SSS (Side-Side-Side) 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 congruence statement?

Back

A congruence statement is used to indicate that two triangles are congruent and to specify which parts of the triangles correspond to each other.