Triangle ABC is to be dilated through point P with a scale factor of 3. How many units away from point A along ray PA will A’ be located?

Question

asked Nov 11, 2020 159k views

2 Answers

Priyan RockZ · Answer 1 · 2020-11-17T09:15:32+0000

Answer:

Point A' will be located 10 units away from point A along ray PA

Explanation:

we have

The scale factor is 3

step 1

Find out the distance PA'

we know that

The distance PA' is equal to multiply the distance PA by the scale factor

so

PA'=PA*3

we have

$PA=5\ units$

substitute the given values

$PA'=(5)*3=15\ units$

step 2

Find out how many units away from point A along ray PA will A’ be located

we know that

PA'=PA+AA'

we have

$PA=5\ units$

$PA'=15\ units$

substitute the given values and solve for AA'

15=5+AA'

$AA'=15-5=10\ units$

therefore

Point A' will be located 10 units away from point A along ray PA