What is the scale factor of this dilation? Line segments A prime B prime and A B. The distance from the center of dilation P to A prime is 3. The distance from P to A is 5.

One-half

Three-fifths

1 and two-thirds

2

Three-fifths

Explanation:

This question is mathematics not history; however, the solution is as follows.

Given

Line Segments A'B' and AB

Center of Dilation = P

Required

Scale factor of dilation;

The scale factor of dilation is defined as thus;

Scale Factor is the ration of the distance between the center points  and origin of the dilated line segment to the original line segment;

In other words;

Substitute and

Hence, the scale factor of this dilation is Three-fifths or

d is the correct answer

~courtney