Similarity Basics

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

What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape but not necessarily the same size, and their corresponding angles are equal.

Front

What is the relationship between the angles of similar figures?

Back

All angles in similar figures are congruent.

Front

How does a dilation affect the size of a figure?

Back

A dilation changes the size of a figure by a scale factor, but it does not change the shape.

Front

What happens to the angles of a polygon during a dilation?

Back

Dilations do not change the angles of a polygon.

Front

If the scale factor from triangle ABC to triangle DEF is 3/2, what does this mean?

Back

It means that each side of triangle DEF is 1.5 times longer than the corresponding side of triangle ABC.

Front

How do you find the perimeter of similar figures?

Back

To find the perimeter of a similar figure, multiply the perimeter of the original figure by the scale factor.

Front

If triangle ABC has a perimeter of 24 and is dilated by a scale factor of 2, what is the perimeter of the new triangle?

Back

The perimeter of the new triangle is 48.

Front

What is the scale factor from triangle ABC to triangle DEF if the sides are in the ratio 2:3?

Back

The scale factor is 3/2.

Front

Can two figures be similar if their corresponding sides are not in proportion?

Back

No, two figures cannot be similar if their corresponding sides are not in proportion.