Question

quadrangle abcd is dilated by a scale factor of 4 about the origin to triangle abcd. what are the coordinates of d?

Explanation:

Step1: Identify original coordinates of D

From the graph, the coordinates of point D are (3,1).

Step2: Apply dilation formula

When dilating a point (x,y) by a scale - factor k about the origin, the new coordinates (x',y') are given by (kx,ky). Here, k = 4, x = 3, and y = 1. So x'=4×3 = 12 and y'=4×1 = 4.

Answer:

(12,4)