Question

15 points!!! The triangle ABC is dilated with respect to the point O(8,-3) and the scale factor 3 to a new triangle A'B'C'. What are the coordinates of B?

(24,-9)
(24,-3)
(12,-9)
(-4,-3)

Answer 1

(-4,-3)

Explanation:

we know that

The distance OB is equal to

(8-4)=4 units

To find the new distance OB', multiply the distance OB by the scale factor

so

OB'=OB*3

OB'=4*3=12 units

The x-coordinate of point B' is equal to

8-12=-4

The y-coordinate of point B' is the same that B -3

the coordinates of point B'are (-4,-3)