2022 Congruent Triangle Two-Column 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 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 is the SSS criterion for triangle congruence?

Back

Side-Side-Side; a method to prove triangles congruent by showing all three sides of one triangle are equal to the three sides of another triangle.

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 is the HL theorem in triangle congruence?

Back

Hypotenuse-Leg; a method to prove right triangles congruent by showing the hypotenuse and one leg are equal.

Front

What does CPCTC stand for?

Back

Corresponding Parts of Congruent Triangles are Congruent; a principle used after proving triangles congruent to show that their corresponding parts are also congruent.

Front

How many triangles can be formed with 6 points in a plane?

Back

The number of triangles that can be formed is determined by the combination formula C(n, 3), where n is the number of points. For 6 points, C(6, 3) = 20.

Front

What is the importance of the included angle in SAS?

Back

The included angle is the angle between the two sides being considered; it is crucial for proving congruence using the SAS method.

Front

What is the difference between SSS and SAS?

Back

SSS requires all three sides to be equal, while SAS requires two sides and the included angle to be equal.

Front

What is a congruence statement?

Back

A statement that indicates two triangles are congruent, typically written in the form ∆ABC ≅ ∆DEF.