Question

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?

Answer 1

10 units

Explanation:

Answer 2

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