Triangle Proofs

Front

What is the definition of congruent triangles?

Back

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

Front

What does CPCTC stand for?

Back

Corresponding Parts of Congruent Triangles are Congruent.

Front

What is the Reflexive Property?

Back

A property stating that any geometric figure is congruent to itself (e.g., AD = AD).

Front

What is the SSS (Side-Side-Side) Congruence Theorem?

Back

If three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Front

What is the SAS (Side-Angle-Side) Congruence Theorem?

Back

If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What is the ASA (Angle-Side-Angle) Congruence Theorem?

Back

If two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Front

What is the AAS (Angle-Angle-Side) Congruence Theorem?

Back

If two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.

Front

What is the Transitive Property?

Back

If A = B and B = C, then A = C.

Front

What is the purpose of a proof in geometry?

Back

To provide a logical argument that demonstrates the truth of a geometric statement.

Front

What is the significance of the statement 'HD=DN' in a proof?

Back

It indicates that segments HD and DN are equal, which is often used to establish congruence.