Question

A three inch line segment is dilated by a scale factor of 6 and centered at its midpoint. What is the lenght of its image?

Answer 1

It is 18 inches. You take 3 and multiply it by your scale factor of 6 and get 18.

Answer 2

The concept is to multiply the original length by the scale factor.

Here the original length = 3 in

The dilation scale factor is 6.

So the length of the image shall be

= 3 × 6

= 18 inches.

Hence when a three inch line segment is dilated by a scale factor of 6 and centered at its midpoint, the length of its image shall be 18 inches.