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?

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

Step-by-step 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

we have

substitute the given values

step 2

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

we know that

we have

substitute the given values and solve for AA'

therefore

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

step-by-step explanation:

∆abc has the points a(1, 7), b(-2, 2), and c(4, 2) as its vertices. formed with the point d(1, 2) as its third vertex, then ∆abd is triangle.