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 and angles of congruent triangles are equal.

Front

What is the first statement in the reason column of a proof?

Back

The first statement is always 'Given,' which refers to the information provided in the problem.

Front

What is the Reflexive Property?

Back

The Reflexive Property states that any geometric figure is congruent to itself, meaning AB = AB.

Front

What is a Segment Bisector?

Back

A segment bisector is a point, line, ray, or segment that divides a segment into two equal parts.

Front

What does it mean for two triangles to be congruent?

Back

Two triangles are congruent if all their corresponding sides and angles are equal.

Front

If L is the midpoint of segment TJ, what can we conclude?

Back

We can conclude that TL = LJ, meaning the two segments are equal in length.

Front

What is the Transitive Property?

Back

The Transitive Property states that if a = b and b = c, then a = c.

Front

What is the definition of a Midpoint?

Back

A midpoint is a point that divides a segment into two equal segments.

Front

What is the Angle-Angle (AA) criterion for triangle similarity?

Back

The AA criterion states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.