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: The answer is B. 3/5

Step-by-step explanation:

Good luck!

Answer 2

Three-fifths
`((3)/(5))`

Step-by-step 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 = (A'P)/(AP)`

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

`Scale Factor = (3)/(5)`

Hence, the scale factor of this dilation is Three-fifths or
`((3)/(5))`