Question

3 the figure below shows triangle mno on a coordinate plane. if the triangle is dilated by a scale factor of 4 with the origin as the center of dilation, what are the coordinates of vertex n of the dilated triangle mno? a (8, 4) b (4, 8) c (8, 8) d (4, 4)

Explanation:

Step1: Identify original coordinates of N

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

Step2: Apply dilation formula

For a dilation with scale - factor \(k = 4\) and center of dilation at the origin \((x,y)\to(kx,ky)\). Substitute \(x = 2\), \(y = 2\) and \(k = 4\). We get \(x'=4\times2 = 8\) and \(y'=4\times2 = 8\).

Answer:

C. (8, 8)