Congruent Triangles (CPCTC)

Front

What does CPCTC stand for?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What are the criteria for triangle congruence?

Back

The criteria for triangle congruence include SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), and HL (Hypotenuse-Leg for right triangles).

Tags

CCSS.HSG.SRT.B.5

Front

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

Back

If two triangles are congruent, their corresponding angles are equal.

Tags

CCSS.8.G.A.2

Front

If triangle ABC is congruent to triangle DEF, what can be concluded about the sides?

Back

The corresponding sides of triangle ABC and triangle DEF are equal in length.

Tags

CCSS.HSG.CO.B.7

Front

What is the significance of the congruency statement in triangle congruence?

Back

The congruency statement indicates which parts of the triangles are congruent, allowing for the application of CPCTC.

Tags

CCSS.HSG.SRT.B.5

Front

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

Back

Two triangles are congruent using the SSS criterion if all three sides of one triangle are equal to the three sides of the other triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What is the relationship between congruent triangles and their areas?

Back

Congruent triangles have equal areas.

Tags

CCSS.8.G.A.2

Front

If ∠F = ∠G in two congruent triangles, what can be inferred about the triangles?

Back

If ∠F = ∠G, then the triangles are congruent by CPCTC.

Tags

CCSS.HSG.SRT.B.5

Front

What does it mean for two angles to be congruent?

Back

Two angles are congruent if they have the same measure.

Tags

CCSS.8.G.A.2

Front

If triangle XYZ is not congruent to triangle ABC, what can be said about their corresponding parts?

Back

If triangle XYZ is not congruent to triangle ABC, then at least one pair of corresponding sides or angles is not equal.

Tags

CCSS.8.G.A.2