Congruent Parts of Congruent Triangles are Congruent CPCTC

Front

What does CPCTC stand for?

Back

CPCTC stands for 'Corresponding Parts of Congruent Triangles are Congruent.' It is a principle used in geometry to prove that if two triangles are congruent, then their corresponding parts (angles and sides) are also congruent.

Tags

CCSS.HSG.SRT.B.5

Front

If two triangles are congruent, what can we say about their corresponding angles?

Back

The corresponding angles of congruent triangles are equal.

Tags

CCSS.8.G.A.2

Front

If ∆ABC ≅ ∆DEF, what can we conclude about side AB?

Back

Side AB is congruent to side DE.

Tags

CCSS.HSG.CO.B.7

Front

What symbol is used to denote congruence between two figures?

Back

Tags

CCSS.8.G.A.2

Front

If ∠A ≅ ∠D and ∠B ≅ ∠E, what can we say about ∠C and ∠F in triangles ABC and DEF?

Back

If triangles ABC and DEF are congruent, then ∠C ≅ ∠F.

Tags

CCSS.HSG.CO.B.7

Front

What is the sum of the angles in any triangle?

Back

The sum of the angles in any triangle is 180 degrees.

Tags

CCSS.8.G.A.5

Front

If ∆XYZ ≅ ∆PQR, what is true about the lengths of sides XY and PQ?

Back

The lengths of sides XY and PQ are equal.

Tags

CCSS.8.G.A.2

Front

What is the relationship between the sides of congruent triangles?

Back

The corresponding sides of congruent triangles are equal in length.

Tags

CCSS.8.G.A.2

Front

If two angles of one triangle are equal to two angles of another triangle, what can be concluded about the triangles?

Back

The triangles are congruent by the Angle-Angle (AA) criterion.

Tags

CCSS.8.G.A.2

Front

What is the congruence statement for triangles with vertices A, B, and C and vertices D, E, and F?

Back

The congruence statement is written as ∆ABC ≅ ∆DEF.

Tags

CCSS.HSG.CO.B.7