Question

If you were to dilate a figure where side AB¯¯¯¯¯¯¯¯
is 18 units long and side A′B′¯¯¯¯¯¯¯¯¯¯
is 6 units long, what would be the scale factor?

1/3
simply explain

Answer 1

The scale factor is the ratio of the lengths of corresponding sides in the original figure and the dilated figure. In this case, the length of side AB¯¯¯¯¯¯¯¯ in the original figure is 18 units and the length of side A′B′¯¯¯¯¯¯¯¯¯¯ in the dilated figure is 6 units.

So, the scale factor would be:
Length of side A′B′¯¯¯¯¯¯¯¯¯¯ / Length of side AB¯¯¯¯¯¯¯¯ = 6 / 18 = 1/3

Therefore, the scale factor is 1/3.