Congruent Triangle Proofs, no CPCTC

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 congruent.

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 congruent.

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 congruent.

Front

What is the SSS criterion for triangle congruence?

Back

Side-Side-Side: A method to prove triangles congruent by showing all three sides are congruent.

Front

What is the Reflexive Property in geometry?

Back

A property stating that any geometric figure is congruent to itself.

Front

What are Vertical Angles?

Back

Angles that are opposite each other when two lines intersect; they are always congruent.

Front

What is the significance of Alternate Interior Angles?

Back

When two parallel lines are cut by a transversal, the alternate interior angles are congruent.

Front

What is the definition of congruent triangles?

Back

Triangles that have the same size and shape, meaning all corresponding sides and angles are equal.

Front

What additional information is needed to prove triangles congruent by SSS?

Back

All three sides of both triangles must be known and proven to be congruent.

Front

What additional information is needed to prove triangles congruent by SAS?

Back

Two sides and the included angle of one triangle must be proven congruent to the corresponding parts of the other triangle.