### Home > CC2 > Chapter Ch6 > Lesson 6.2.4 > Problem 6-99

The two triangles at right are similar shapes.

What is the scale factor from shape A to shape B?

Which corresponding sides in A and in B are both known?

What do you need to multiply

by to get ? Find the missing side lengths.

Identify which sides in A correspond to sides in B.

Since

corresponds to andcorresponds to, multiply by the scale factor to find , and divideby the scale factor to find .If you wanted to make shape A smaller instead of bigger, what is a scale factor you could use?

The scale factor is what you multiply by to increase or decrease the size of a shape.

If a scale factor greater than one created a larger triangle, then a scale factor less than one must create a smaller triangle.

Note that a scale factor cannot be negative because a negative side length is nonexistent.