SSS and SAS Proofs

Front

What does SSS Congruence stand for?

Back

SSS Congruence stands for 'Side-Side-Side Congruence', which states that if three sides of one triangle are equal to three sides of another triangle, then the two triangles are congruent.

Front

What does SAS Congruence stand for?

Back

SAS Congruence stands for 'Side-Angle-Side Congruence', which 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 two triangles are congruent.

Front

What is the significance of congruence statements in proofs?

Back

Congruence statements are used to show that two triangles are congruent, which allows us to infer that corresponding angles and sides are equal.

Front

What is the definition of congruent triangles?

Back

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

Front

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

Back

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

Front

What is the definition of corresponding parts of congruent triangles?

Back

Corresponding parts of congruent triangles are the sides and angles that are equal in measure between the two triangles.

Front

What is the purpose of using congruence in geometric proofs?

Back

The purpose of using congruence in geometric proofs is to establish relationships between triangles, allowing for the deduction of properties and measurements.

Front

What is the definition of the included angle in SAS?

Back

The included angle in SAS is the angle formed between the two sides of a triangle that are being considered for congruence.

Front

What is the definition of a triangle?

Back

A triangle is a polygon with three edges and three vertices, and the sum of its interior angles is always 180 degrees.

Front

What is the definition of a side in a triangle?

Back

A side in a triangle is one of the three line segments that form the triangle.