Question

28 the figure below shows quadrilateral efgh on a coordinate plane. if the quadrilateral is dilated by a scale factor of 4 with the origin as the center of dilation, what are the coordinates of vertex g of the dilated quadrilateral efgh? a (36,18) b (24,20) c (3,9/2) d (48,40)

Explanation:

Step1: Identify original coordinates of G

From the graph, the coordinates of vertex G of quadrilateral EFGH are (12, 10).

Step2: Apply dilation formula

When dilating a point (x, y) by a scale - factor k with the origin as the center of dilation, the new coordinates (x', y') are given by (kx, ky). Here, k = 4, x = 12, and y = 10. So, x'=4×12 = 48 and y'=4×10 = 40.

Answer:

D. (48, 40)