Question

22 the figure below shows trapezoid mnop on a coordinate plane. if the trapezoid is dilated using the rule (x,y)→(1/3x,1/3y) with the origin as the center of dilation, what are the coordinates of vertex n of the dilated trapezoid mnop? a (6,4) c (36,36) b (2,3) d (4,4)

Explanation:

Step1: Identify the coordinates of point N

From the graph, the coordinates of point N are (12, 12).

Step2: Apply the dilation rule

The dilation rule is $(x,y)\to(\frac{1}{3}x,\frac{1}{3}y)$. For point N with $x = 12$ and $y=12$, we calculate $\frac{1}{3}\times12$ for the x - coordinate and $\frac{1}{3}\times12$ for the y - coordinate.
$x'=\frac{1}{3}\times12 = 4$
$y'=\frac{1}{3}\times12 = 4$

Answer:

D. (4, 4)