Question

What is the scale factor from EF to AB in the similar figures EFGH and ABCD, where EFGH has corresponding sides measuring 1.5 inches and 1 inch, and ABCD has corresponding sides measuring x inches and 6 inches?

Answer 1

The scale factor from EF to AB in the similar figures EFGH and ABCD is 9.

Step-by-step explanation:

To find the scale factor from EF to AB in the similar figures EFGH and ABCD, we need to compare the corresponding sides. In EFGH, the corresponding sides measure 1.5 inches and 1 inch. In ABCD, the corresponding sides measure x inches and 6 inches. We can set up the following proportion:

1.5 / 1 = x / 6

Cross multiplying and solving for x, we have:

1.5 * 6 = 1 * x

x = 9 / 1 = 9

Therefore, the scale factor from EF to AB is 9.