Question

square pqrs is dilated using a scale factor of 2 with the origin as the center of dilation. what are the coordinates of the image of point p? a (-1,2) b (-5,2) c (-5,4) d (-6,2) e (-6,4)

Explanation:

Step1: Identify original coordinates of P

From the graph, the coordinates of point P are (- 3,2).

Step2: Apply dilation formula

When dilating a point (x,y) with a scale - factor k centered at the origin, the new coordinates (x',y') are given by (kx,ky). Here, k = 2, x=-3, and y = 2. So, x'=2×(-3)=-6 and y'=2×2 = 4.

Answer:

E. (-6,4)