Question

P(-5,-6), what are the coordinates of P' with center of dilation at (0,0) and k= 2

a) P'(-10, -12)
b) P'(-7, -8)
c) P'(-2.5, -3)
d) P'(-3, -4)

Answer 1

In coordinate geometry, the coordinates of point P' after a dilation with scale factor 2 from the origin are found by multiplying each coordinate of P by the scale factor.

Step-by-step explanation:

The student's question is related to the concept of dilation in coordinate geometry, specifically finding the coordinates of a point after dilation with a given scale factor from the origin. The original point is P(-5,-6) and the dilation scale factor, k, is 2. Since the center of dilation is at the origin (0,0), every coordinate of point P is multiplied by the scale factor of 2 to get the new coordinates of point P'. So, for P(-5,-6) after dilation, P' would be at (-10, -12) which corresponds to option a).