Scale Factor, Scale Copy, and Corresponding parts

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, a quantity. It is used to determine how much larger or smaller a figure is compared to another figure.

Front

If the scale factor is greater than one, the new figure will be:

Back

an enlargement.

Front

If the scale factor is less than one, the new figure will be:

Back

a reduction.

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 while their corresponding sides are proportional.

Front

What are corresponding parts in similar figures?

Back

Corresponding parts are the sides and angles of similar figures that match up with each other.

Front

If triangle ABC is similar to triangle DEF, what can be said about their corresponding angles?

Back

The corresponding angles of triangle ABC and triangle DEF are equal.

Front

If the scale factor from triangle ABC to triangle DEF is 2, what happens to the sides of triangle ABC?

Back

The sides of triangle ABC will be multiplied by 2 to get the lengths of the sides of triangle DEF.

Front

What is the relationship between the areas of two similar figures?

Back

The ratio of the areas of two similar figures is equal to the square of the scale factor.

Front

If the scale factor is 1/2, what happens to the size of the figure?

Back

The figure is reduced to half its original size.

Front

How do you find the missing side in similar triangles?

Back

You can find the missing side by setting up a proportion between the corresponding sides of the similar triangles.