Congruent Triangle Proofs

Front

What does ASA stand for in triangle congruence?

Back

Angle-Side-Angle: A method to prove triangles congruent by showing two angles and the included side are equal.

Front

What does AAS stand for in triangle congruence?

Back

Angle-Angle-Side: A method to prove triangles congruent by showing two angles and a non-included side are equal.

Front

What does SAS stand for in triangle congruence?

Back

Side-Angle-Side: A method to prove triangles congruent by showing two sides and the included angle are equal.

Front

What does SSA stand for in triangle congruence?

Back

Side-Side-Angle: This is NOT a valid method for proving triangle congruence.

Front

What is the Reflexive Property?

Back

A property stating that a quantity is equal to itself, often used in triangle proofs.

Front

What is the significance of the statement MN ≌ ON in triangle proofs?

Back

It indicates that the two segments are congruent, which is essential for proving triangles congruent.

Front

What additional information is needed for SAS congruence?

Back

The length of one side must be known in addition to the two sides and the included angle.

Front

What is the definition of a triangle?

Back

A polygon with three edges and three vertices.

Front

What is the purpose of triangle congruence criteria?

Back

To determine if two triangles are congruent based on their sides and angles.

Front

What is the difference between congruent and similar triangles?

Back

Congruent triangles have the same size and shape, while similar triangles have the same shape but not necessarily the same size.