Question

If AABC ADEF, what is the scale factor of ABC to ADEF?

18,
A
B
24
20
C D
E
10
F

Answer 1

B. 1/2

Explanation:

What is a scale factor?

A scale factor is the ratio of corresponding lengths or dimensions between two similar geometric figures. For example, a scale factor of
`(1)/(2)` means that the new shape will be half the size of the original.

If we look at ABC, we can see that the side BC has a side length of 20. Looking at DEF, the side that corresponds to BC is EF, and it has a side length of 10. To find the scale factor, we can take the new shapes side length, which is 10, and divide that by the old shapes side length, which is 20.

• 10 ÷ 20 = 0.5 or
  `(1)/(2)`

Therefore, the scale factor of ABC to DEF is
`(1)/(2)`.