Similarity Criteria

Front

What is the SSS similarity criterion?

Back

The SSS (Side-Side-Side) similarity criterion states that if the corresponding sides of two triangles are in proportion, then the triangles are similar.

Front

What is the SAS similarity criterion?

Back

The SAS (Side-Angle-Side) similarity criterion states that if two sides of one triangle are in proportion to two sides of another triangle and the included angles are congruent, then the triangles are similar.

Front

What is the AA similarity criterion?

Back

The AA (Angle-Angle) similarity criterion states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

Front

What does it mean for triangles to be similar?

Back

Triangles are similar if their corresponding angles are congruent and their corresponding sides are in proportion.

Front

What is a similarity statement?

Back

A similarity statement expresses that two figures are similar, typically written in the form ΔABC~ΔDEF.

Front

If two triangles are similar, what can be said about their angles?

Back

If two triangles are similar, their corresponding angles are congruent.

Front

What is the ASA congruence criterion?

Back

The ASA (Angle-Side-Angle) congruence criterion states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

Front

What is the AAS congruence criterion?

Back

The AAS (Angle-Angle-Side) congruence criterion states that if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.

Front

What is the relationship between similar figures and their areas?

Back

The areas of similar figures are proportional to the square of the ratio of their corresponding sides.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.