CONGRUENCE OF TRIANGLES

Front

What is congruence in geometry?

Back

Congruence means that two shapes are identical in shape and size.

Front

What does the symbol ≅ represent?

Back

The symbol ≅ represents congruence between two geometric figures.

Front

What are congruent triangles?

Back

Congruent triangles are triangles that are the same size and shape.

Front

What is the SSS congruence criterion?

Back

SSS stands for Side-Side-Side; it states that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Front

What is the SAS congruence criterion?

Back

SAS stands for Side-Angle-Side; it states 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

What is the ASA congruence criterion?

Back

ASA stands for Angle-Side-Angle; it states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.

Front

What is the AAS congruence criterion?

Back

AAS stands for Angle-Angle-Side; it states that if two angles and a non-included side of one triangle are equal to two angles and a corresponding non-included side of another triangle, the triangles are congruent.

Front

What is the AAA criterion?

Back

AAA stands for Angle-Angle-Angle; it is NOT a congruence criterion because it only shows that triangles are similar, not congruent.

Front

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

Back

The perimeters of two congruent triangles are equal.

Front

What is the relationship between the angles of congruent triangles?

Back

The corresponding angles of congruent triangles are equal.