Question

In

ABC, ABC is a right angle AB=3 units, and BC=2 units &ABC is dilated by a scale factor of 0.5 with point 8 as the center of dilation, resulting
in the image AABC. Which statement about AB is true?
OA AB is 15 units long but lies on a different line than AB
OB AB is 3 units long but lies on a different line than AB
OC AB is 3 units long and lies on the same line as AB
OD. AB is 1.5 units long and lies on the same line as AB?

Answer 1

A'B' is 1.5 units long and lies on the same line as AB.

Explanation:

If AB = 3 units, BC = 2 units and a scale factor of 0.5 is applied, then A'B = 3*0.5 = 1.5 and B'C = 2* 0.5 = 1. Given that the point B is taken as the center of dilation then, segments A'B lies on the same line as AB and B'C lies on the same line as BC.