Question

What is the scale factor of this dilation?

Answer 1

Answer:

Three-fifths $(\frac{3}{5})$

Explanation:

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

Given

Line Segments A'B' and AB

Center of Dilation = P

$A'P = 3$

$AP = 5$

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;

$Scale Factor = \frac{A'P}{AP}$

Substitute $A'P = 3$ and $AP = 5$

$Scale Factor = \frac{3}{5}$

Hence, the scale factor of this dilation is Three-fifths or $(\frac{3}{5})$