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

Back

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

Front

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

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 Angle-Angle-Side (AAS) 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 does the term 'corresponding parts' refer to in triangle congruence?

Back

The sides and angles of one triangle that match with the sides and angles of another triangle when the triangles are congruent.

Front

What is the definition of a proof in geometry?

Back

A logical argument that uses definitions, properties, and previously proven statements to show that a conclusion is true.

Front

What is the purpose of using congruence statements?

Back

To indicate that two triangles are congruent and to specify which parts of the triangles correspond to each other.

Front

What is the definition of an isosceles triangle?

Back

A triangle with at least two sides of equal length.

Front

What is the definition of an equilateral triangle?

Back

A triangle in which all three sides are of equal length and all three angles are equal.

Front

What is the definition of a scalene triangle?

Back

A triangle with all sides of different lengths.