Congruent Triangle Proofs

Front

What is the definition of congruent triangles?

Back

Triangles that have the same size and shape, meaning all corresponding sides and angles are equal.

Front

What does CPCTC stand for?

Back

Corresponding Parts of Congruent Triangles are Congruent.

Front

List the triangle congruence tests.

Back

SAS (Side-Angle-Side), SSS (Side-Side-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), and HL (Hypotenuse-Leg for right triangles).

Front

Which triangle congruence test is NOT valid?

Back

SSA (Side-Side-Angle) is not a valid test for triangle congruence.

Front

What is the reflexive property in geometry?

Back

It states that any geometric figure is congruent to itself.

Front

What is the definition of a midpoint?

Back

A point that divides a segment into two equal parts.

Front

What is the significance of the SAS congruence postulate?

Back

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 does SSS stand for in triangle congruence?

Back

Side-Side-Side; if all three sides of one triangle are equal to the three sides of another triangle, they are congruent.

Front

What is the AAS congruence theorem?

Back

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, the triangles are congruent.

Front

What is the purpose of a congruence statement?

Back

To indicate that two triangles are congruent and to show which parts correspond to each other.