Triangle Proofs Review

Front

What is the definition of congruence in triangles?

Back

Two triangles are congruent if they have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What does the Reflexive Property state?

Back

The Reflexive Property states that any geometric figure is congruent to itself, e.g., AD = AD.

Front

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

Back

The SSS Postulate states that 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 Postulate?

Back

The SAS Postulate states that 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 purpose of a congruence statement?

Back

A congruence statement indicates that two triangles are congruent and lists their corresponding parts in order.

Front

What does the Transitive Property state in geometry?

Back

The Transitive Property states that if A = B and B = C, then A = C.

Front

How do you identify corresponding parts in congruent triangles?

Back

Corresponding parts are the angles and sides that are in the same relative position in each triangle.

Front

What is the definition of an angle?

Back

An angle is formed by two rays with a common endpoint, called the vertex.

Front

What is the definition of a triangle?

Back

A triangle is a polygon with three edges and three vertices.

Front

What is the significance of the angle congruence in triangle proofs?

Back

Angle congruence helps establish the equality of triangles, which is essential for proving triangle congruence.