Congruent Triangles (CPCTC)

Front

What does CPCTC stand for in the context of congruent triangles?

Back

CPCTC stands for 'Corresponding Parts of Congruent Triangles are Congruent.'

Tags

CCSS.HSG.SRT.B.5

Front

If two triangles are congruent, what can be said about their corresponding sides?

Back

The corresponding sides of congruent triangles are equal in length.

Tags

CCSS.8.G.A.2

Front

If ∆ABC ≅ ∆DEF, what can be concluded about angle A and angle D?

Back

Angle A is congruent to angle D (∠A ≅ ∠D).

Tags

CCSS.HSG.CO.B.7

Front

What is the first step in proving that two triangles are congruent?

Back

Identify and establish the criteria for triangle congruence (e.g., SSS, SAS, ASA, AAS, or HL).

Tags

CCSS.HSG.SRT.B.5

Front

What does the SSS criterion for triangle congruence state?

Back

The SSS criterion states that if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the SAS criterion for triangle congruence?

Back

The SAS criterion states that 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 ASA criterion for triangle congruence?

Back

The ASA criterion states that 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 criterion for triangle congruence?

Back

The AAS criterion states that if two angles and a non-included side of one triangle are equal to two angles and a corresponding non-included side of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the HL criterion for triangle congruence?

Back

The HL criterion states that 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

How can CPCTC be used in solving problems involving congruent triangles?

Back

CPCTC can be used to conclude that corresponding angles or sides are equal after establishing that two triangles are congruent.

Tags

CCSS.HSG.SRT.B.5