Congruent Triangle Proofs

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 does SSS Congruence stand for?

Back

Side-Side-Side Congruence: If three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Front

What does SAS Congruence stand for?

Back

Side-Angle-Side Congruence: If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What does ASA Congruence stand for?

Back

Angle-Side-Angle Congruence: If two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Front

What does AAS Congruence stand for?

Back

Angle-Angle-Side Congruence: 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, then the triangles are congruent.

Front

What does HL Congruence stand for?

Back

Hypotenuse-Leg Congruence: In right triangles, if the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle, then the triangles are congruent.

Front

What is the Reflexive Property?

Back

A property stating that any geometric figure is congruent to itself (e.g., segment AB ≌ segment AB).

Front

What is CPCTC?

Back

CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent, used to prove that corresponding parts of congruent triangles are also congruent.

Front

What is the purpose of a segment bisector?

Back

A segment bisector divides a segment into two equal parts.

Front

What is the definition of a midpoint?

Back

The midpoint of a segment is the point that divides the segment into two equal lengths.