CPM Homework Banner

Home > MC2 > Chapter 6 > Lesson 6.2.4 > Problem 6-109


The two triangles below are similar shapes.

  1. What is the scale factor between shape A and shape B?

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

    What do you need to multiply by to get ?

  2. Find the missing sides.

    Identify which sides in A correspond to which sides in B.

    Since corresponds to t and s corresponds to , multiply by the scale factor to find , and divide by the scale factor to find .

  3. 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.