Congruent Triangles 1

Front

What are congruent triangles?

Back

Triangles that have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What does the symbol '≅' represent in geometry?

Back

It represents that two figures are congruent.

Front

What is the SSS Congruence Postulate?

Back

If three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Front

What is the ASA Congruence Postulate?

Back

If two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Front

What is the AAS Congruence Postulate?

Back

If two angles and a non-included side of one triangle are equal to two angles and a non-included side of another triangle, then the triangles are congruent.

Front

What is the definition of corresponding angles?

Back

Angles that are in the same relative position in two different geometric figures.

Front

What is the definition of corresponding sides?

Back

Sides that are in the same relative position in two different geometric figures.

Front

If ∆ABC≅∆XYZ, what can we conclude about the angles?

Back

Angle A ≅ Angle X, Angle B ≅ Angle Y, Angle C ≅ Angle Z.

Front

If AB≅XY, what does this imply about the lengths of these segments?

Back

The lengths of segments AB and XY are equal.

Front

What is a congruence statement?

Back

A statement that shows two figures are congruent, listing corresponding parts in order.