CPCTC Quest

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence where two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a criterion for triangle congruence where two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

Front

What is the significance of congruent triangles?

Back

Congruent triangles have the same size and shape, meaning all corresponding sides and angles are equal.

Front

If ΔABC ≅ ΔXYZ, what can we conclude about the angles?

Back

We can conclude that ∠A ≅ ∠X, ∠B ≅ ∠Y, and ∠C ≅ ∠Z.

Front

What is the definition of congruence in geometry?

Back

Congruence in geometry means that two figures have the same shape and size.

Front

What is the purpose of CPCTC?

Back

CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent, which is used to prove that corresponding sides and angles of congruent triangles are equal.

Front

If ∆SOK ≅ ∆LMT, what can we say about the sides?

Back

We can say that SK = LM, OK = MT, and SO = LT.

Front

What is the AAS criterion for triangle congruence?

Back

AAS stands for Angle-Angle-Side, a criterion for triangle congruence where two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle.

Front

How can you prove two triangles are congruent using SSS?

Back

You can prove two triangles are congruent using SSS (Side-Side-Side) if all three sides of one triangle are equal to the three sides of another triangle.

Front

What is the relationship between corresponding angles in congruent triangles?

Back

In congruent triangles, corresponding angles are equal.