triangle congruence proofs1

Front

What does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a criterion used to prove the congruence of two right triangles.

Front

What is the ASA triangle congruence criterion?

Back

ASA stands for Angle-Side-Angle. It 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 triangles are congruent.

Front

What is the AAS triangle congruence criterion?

Back

AAS stands for Angle-Angle-Side. It 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 triangles are congruent.

Front

What does CPCTC stand for?

Back

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

Front

What is the SAS triangle congruence criterion?

Back

SAS stands for Side-Angle-Side. It 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 triangles are congruent.

Front

What is the SSS triangle congruence criterion?

Back

SSS stands for Side-Side-Side. It 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 Reflexive Property in geometry?

Back

Front

What is the Transitive Property in geometry?

Back

The Transitive Property states that if one figure is congruent to a second figure, and the second figure is congruent to a third figure, then the first figure is congruent to the third figure.

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

If a triangle has two congruent sides, what can be said about the angles opposite those sides?

Back

The angles opposite the congruent sides are also congruent.