Question

2 the figure below shows triangle mno on a coordinate plane. if the triangle is dilated using the rule (x, y)→(2x, 2y) with the origin as the center of dilation, what are the coordinates of vertex m of the dilated triangle mno? a (10, 4) c (16, 4) b (4, 10) d (4, 16)

Explanation:

Step1: Identify coordinates of M

From the graph, the coordinates of point M are (2, 8).

Step2: Apply dilation rule

The dilation rule is (x, y)→(2x, 2y). For point M(2, 8), substitute x = 2 and y = 8. We get x'=2×2 = 4 and y'=2×8 = 16.

Answer:

D. (4, 16)