Question

the figure below shows triangle pqr on a coordinate plane. if the triangle is dilated using the rule (x, y)→(4x, 4y) with the origin as the center of dilation, what are the coordinates of vertex r of the dilated triangle pqr? a (21, 24) b (9, 18) c (24, 12) d (18, 9)

Explanation:

Step1: Identify original coordinates of R

From the graph, the coordinates of point R are (6, 3).

Step2: Apply dilation rule

The dilation rule is (x, y)→(4x, 4y). Substitute x = 6 and y = 3 into the rule. For x - coordinate of R': 4×6 = 24. For y - coordinate of R': 4×3 = 12. So the coordinates of R' are (24, 12).

Answer:

C. (24, 12)