Congruence

Front

What is Congruence?

Back

Congruence refers to the property of geometric figures that have the same shape and size. Two figures are congruent if one can be transformed into the other through rotations, translations, or reflections.

Front

What does the symbol '≅' represent?

Back

The symbol '≅' represents that two geometric figures are congruent.

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 is the SSS criterion for triangle congruence?

Back

SSS stands for Side-Side-Side, a criterion for triangle congruence where all three sides of one triangle are equal to the three sides of another triangle.

Front

What does AAS stand for in 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

Which of the following is NOT a test to prove triangles congruent?

Back

SSA (Side-Side-Angle) is NOT a valid test to prove triangles congruent.

Front

If ∆ABC≅∆XYZ, what can we conclude about sides AB and XY?

Back

We can conclude that AB≅XY.

Front

What is the definition of corresponding parts in congruent triangles?

Back

Corresponding parts are the sides and angles of congruent triangles that are in the same relative position.

Front

What is the difference between congruent and similar figures?

Back

Congruent figures have the same shape and size, while similar figures have the same shape but may differ in size.

Front

How can you prove that two triangles are congruent using the AAS criterion?

Back

To prove triangles are congruent using AAS, show that two angles and a non-included side of one triangle are equal to the corresponding two angles and the non-included side of another triangle.