Question

5. What are the coordinates of the image of P for a dilation with center (0, 0) and scale factor 2?



A) (–4, 2)


B) (0, 5)


C) (2, 0)


D) (0, 6)

Answer 1

Answer: D) (0, 6)

Step-by-step explanation:

We know that the coordinates image of point (x,y) after dilation with center (0, 0) and scale factor k will become:-

$(kx,ky)$

From the given figure, the coordinates of point P =(0,3)

Then , the coordinates of the image of P for a dilation with center (0, 0) and scale factor 2 will be :-

$(2\times0,2\times3)=(0,6)$

Hence, the coordinates of the image of P for a dilation with center (0, 0) and scale factor 2 is (0,6).