Question

the figure below shows trapezoid mnop on a coordinate plane. if the trapezoid is dilated using the rule (x, y)→(5x, 5y) with the origin as the center of dilation, what are the coordinates of vertex m of the dilated trapezoid mnop? a (10, 20) b (15, 30) c (30, 60) d (20, 40)

Explanation:

Step1: Identify the coordinates of point M

From the graph, the coordinates of point M are (4, 8).

Step2: Apply the dilation rule

The dilation rule is (x, y)→(5x, 5y). Substitute x = 4 and y = 8 into the rule. For the x - coordinate of M', 5x=5×4 = 20. For the y - coordinate of M', 5y=5×8 = 40.

Answer:

D. (20, 40)