Fast and Curious: Similar Figures

Two figures are similar if they have the same shape and proportional size.

AA Similarity states that if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

SSS Similarity states that if the sides of one triangle are proportional to the sides of another triangle, then the triangles are similar.

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

The scale factor is the ratio of the lengths of corresponding sides of similar figures.

It means that the image is three times larger than the original figure.

$$\triangle FDE$$ .

The similarity ratio is $$\frac{3}{4}$$ .

Corresponding angles in similar figures are equal.

Corresponding sides in similar figures are proportional.