Question

7 the figure below shows triangle pqr on a coordinate plane. if the triangle is dilated using the rule (x y)→(3x, 3y) with the origin as the center of dilation, what are the coordinates of vertex p of the dilated triangle pqr? a (18, 9) c (6, 9) b (9, 18) d (9, 6)

Explanation:

Step1: Identify coordinates of P

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

Step2: Apply dilation rule

The dilation rule is (x, y)→(3x, 3y). For point P(2, 3), we substitute x = 2 and y = 3 into the rule.
For the x - coordinate of P': 3×2=6.
For the y - coordinate of P': 3×3 = 9.
So the coordinates of P' are (6, 9).

Answer:

C. (6, 9)