Question

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

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 $(\frac{3}{5})$

Answer 2

Answer:

The correct answer is in fact 3/5 aka three-fifths or also known as option B.

Explanation:

Hope this heps!

Have a great day! :)