Question

1. the figure below shows triangle pqr on a coordinate plane. if the triangle is dilated by a scale factor of 2 with the origin as the center of dilation, what are the coordinates of vertex q of the dilated triangle pqr? a (14, 16) b (9, 10) c (3.5, 4) d (16, 14)

Explanation:

Step1: Identify original coordinates of Q

From the graph, the coordinates of point Q are (7, 8).

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 = 2, x = 7, and y = 8. So, x'=2×7 = 14 and y'=2×8 = 16.

Answer:

A. (14, 16)