The two triangles at right are similar shapes.

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

   Hint (a):

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

   More Help (a):

   What do you need to multiply $8$ by to get $20$?

   Answer (a):

   $\frac{20}{8}=2.5$

2. Find the missing sides.

   Hint (b):

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

   More Help (b):

   Since $16$ corresponds to $t$ and $s$ corresponds to $35$, multiply $16$ by the scale factor to find $t$, and divide $35$ by the scale factor to find $s$.

3. If you wanted to make shape A smaller instead of bigger, what is a scale factor you could use?

   Hint (c):

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

   More Help (c):

   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.