Question

1. the figure below shows quadrilateral efgh on a coordinate plane. if the quadrilateral 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 h of the dilated quadrilateral efgh? a (2,3) b (2,8/3) c (3,3) d (8/3,2)

Explanation:

Step1: Identify original coordinates of H

From the graph, the coordinates of vertex H are \((6,9)\).

Step2: Apply dilation rule

The dilation rule is \((x,y)\to(\frac{1}{3}x,\frac{1}{3}y)\). For \(x = 6\) and \(y=9\), we calculate \(\frac{1}{3}\times6 = 2\) and \(\frac{1}{3}\times9=3\).

Answer:

A. \((2,3)\)