Similar Figures

Front

What are similar figures?

Back

Similar figures are shapes that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are proportional.

Front

What is the relationship between corresponding angles in similar figures?

Back

Corresponding angles in similar figures are congruent (equal in measure).

Front

What are corresponding sides?

Back

Corresponding sides are the sides of similar figures that are in the same relative position.

Front

What must be true about the sides of similar figures?

Back

The sides in similar figures must be proportional.

Front

In similar polygons, what is the relationship between corresponding sides and angles?

Back

In similar polygons, corresponding sides are proportional, and corresponding angles are congruent.

Front

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

Back

The lengths of their corresponding sides are in proportion.

Front

What is the scale factor in similar figures?

Back

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

Front

How do you determine if two figures are similar?

Back

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

Front

What is the significance of the AA criterion in similarity?

Back

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

Front

Can two figures be similar if they have different shapes?

Back

No, two figures cannot be similar if they have different shapes; they must have the same shape.