Triangle congruence proofs

Front

What are vertical angles?

Back

Vertical angles are the angles opposite each other when two lines intersect. They are always congruent.

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 another right triangle's hypotenuse and leg, then the triangles are congruent.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, which is a criterion for triangle congruence stating that if three sides of one triangle are congruent to three sides of another triangle, the triangles are congruent.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, which is a criterion for triangle congruence stating that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, the 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 definition of a segment bisector?

Back

A segment bisector is a point, ray, line, or plane that intersects a segment at its midpoint, dividing it into two equal parts.

Front

What is the definition of an angle bisector?

Back

An angle bisector is a ray that divides an angle into two congruent angles.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, which is a criterion for triangle congruence stating that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, the triangles are congruent.

Front

What is the Transitive Property?

Back

The Transitive Property states that if a = b and b = c, then a = c. This property can be applied in proving congruence.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that have the same size and shape, meaning their corresponding sides and angles are equal.