Similar Figures 2023

Front

What is a similarity statement?

Back

A similarity statement is a mathematical statement that indicates that two figures are similar, meaning they have the same shape but not necessarily the same size. It is often written in the form of a ratio of corresponding sides.

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if their corresponding angles are congruent and the lengths of their corresponding sides are proportional.

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, some quantity. In the context of similar figures, it is the ratio of the lengths of corresponding sides of two similar figures.

Front

How do you determine if two triangles are similar?

Back

Two triangles can be determined to be similar if they satisfy one of the following criteria: AA (Angle-Angle), SSS (Side-Side-Side), or SAS (Side-Angle-Side) similarity.

Front

What is the AA criterion for triangle similarity?

Back

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

Front

What is the SSS criterion for triangle similarity?

Back

The SSS criterion states that if the lengths of the corresponding sides of two triangles are proportional, then the triangles are similar.

Front

What is the SAS criterion for triangle similarity?

Back

The SAS criterion states that if two sides of one triangle are proportional to two sides of another triangle and the included angles are congruent, then the triangles are similar.

Front

How do you find the scale factor between two similar triangles?

Back

To find the scale factor, divide the length of a side of the larger triangle by the length of the corresponding side of the smaller triangle.

Front

What is the relationship between corresponding angles in similar figures?

Back

In similar figures, corresponding angles are always congruent.

Front

What is the relationship between corresponding sides in similar figures?

Back

In similar figures, the lengths of corresponding sides are proportional.