Question

Part A picture above

Part B. What are the coordinates of the point D after a dilation with a scale factor of 5, centered at the origin?
A. D’(0,2)
B. D’(0,5)
C. D’(0,10)
D. D’(10,0)

Answer 1

Part A C = (10,5) Part B C. D'(0,10)

Explanation:

Part A

Since c is at the point (2,1) in relation to the origin, we can multiply those distances by our scale factor of 5

(2,1) * 5 = (10,5)

The new point C is going to be (10,5)

Part B

If you dilate with a factor of 5 -- relative to the origin -- you have to multiply the distance from the origin by 5.

In this case, point D is already on the y axis, so it's x value wouldn't be affected. Point D is currently 2 units away from (0,0), so we can multiply 2*5 to get 10 -- our ending point is (0,10)