Congruent Triangle Proofs

Front

What are congruent triangles?

Back

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

Tags

CCSS.8.G.A.2

Front

What does CPCTC stand for?

Back

Corresponding Parts of Congruent Triangles are Congruent.

Tags

CCSS.HSG.CO.B.7

Front

What is the SAS congruence criterion?

Back

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.

Tags

CCSS.HSG.SRT.B.5

Front

What is the SSS congruence criterion?

Back

If all three sides of one triangle are equal to all three sides of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the ASA congruence criterion?

Back

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.

Tags

CCSS.HSG.SRT.B.5

Front

What is the AAS congruence criterion?

Back

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.

Tags

CCSS.HSG.SRT.B.5

Front

What is the HL congruence criterion?

Back

If the hypotenuse and one leg of a right triangle are equal to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the reflexive property in triangle congruence?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What is the importance of vertical angles in triangle proofs?

Back

Vertical angles are always congruent, which can help establish triangle congruence.

Tags

CCSS.8.G.A.5

Front

How do you prove triangles are congruent using CPCTC?

Back

After proving two triangles are congruent, you can state that their corresponding parts are also congruent.

Tags

CCSS.HSG.SRT.B.5