Given: line segment ab is 10 inches long. find the length of a'b' if ab is dilated to form a'b' with a scale factor of 1 2 . a) 1 2 inches b) 5 inches c) 10 inches d) 20 inches

Option (b) is correct.

The length of  A'B'  is 5 inches.

Step-by-step explanation:

Given : line segment AB is 10 inches long. AB is dilated to form A'B' with a scale factor of

we have to find the length of  A'B'

Dilation of a figure is the increase or decrease in the length of the figure by a fixed scaling factor.  if scaling factor is greater than 1 , then figure size increases, and if  scaling factor is less than 1 , then figure size decreases.

Here, scaling factor is   which less than 1 , so line segment A'B' decreases.

New image = scaling factor × original image

that is A'B' =

Thus, the length of  A'B'  is 5 inches.

Option (b) is correct.