Congruent Triangles

Front

What are congruent triangles?

Back

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

Front

What does SSS stand for in triangle congruence?

Back

Side-Side-Side; a postulate stating that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

Side-Angle-Side; a postulate stating that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Front

What does ASA stand for in triangle congruence?

Back

Angle-Side-Angle; a postulate stating that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.

Front

What does AAS stand for in triangle congruence?

Back

Angle-Angle-Side; a theorem stating that 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, the triangles are congruent.

Front

What is the reflexive property?

Back

A property stating that any geometric figure is congruent to itself; used in proofs involving congruent triangles.

Front

What is CPCTC?

Back

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

Front

What is the HL theorem?

Back

Hypotenuse-Leg theorem; a method for proving the congruence of right triangles if the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle.

Front

What is the significance of vertical angles in triangle congruence?

Back

Vertical angles are always congruent; this property can be used in proofs involving triangle congruence.

Front

How can you determine if two triangles are congruent using the SSS postulate?

Back

Measure all three sides of both triangles; if all three sides of one triangle are equal to the corresponding sides of the other triangle, they are congruent.