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 corresponding sides and angles of congruent triangles are equal.

Front

If ΔDEF ≅ ΔRST, what can we conclude about DE?

Back

DE = RS. This follows from the definition of congruent triangles, where corresponding sides are equal.

Front

What property states that if a triangle is congruent to another triangle, then their corresponding angles are equal?

Back

The property is known as CPCTC (Corresponding Parts of Congruent Triangles are Congruent).

Front

What is the Reflexive Property in geometry?

Back

The Reflexive Property states that any geometric figure is congruent to itself. For example, segment AB is congruent to segment AB.

Front

What is the Transitive Property in geometry?

Back

The Transitive Property states that if one figure is congruent to a second figure, and the second figure is congruent to a third figure, then the first figure is congruent to the third figure.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for 'Side-Angle-Side,' which is a criterion for triangle congruence stating that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Front

If ΔABC ≅ ΔXYZ, what can we conclude about angle B and angle Y?

Back

∠B ≅ ∠Y. This is a direct application of CPCTC.

Front

What is the SSS criterion for triangle congruence?

Back

SSS stands for 'Side-Side-Side,' which states that if all three sides of one triangle are equal to the three sides of another triangle, then the triangles are congruent.

Front

What is the Vertical Angles Theorem?

Back

The Vertical Angles Theorem states that when two lines intersect, the opposite (or vertical) angles are equal.

Front

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

Back

The corresponding sides of congruent triangles are equal in length.