Question

27 the figure below shows quadrilateral efgh on a coordinate plane. if the quadrilateral is dilated using the rule (x,y)→(1/2x,1/2y) with the origin as the center of dilation, what are the coordinates of vertex e of the dilated quadrilateral efgh? a (1,9/2) c (2,5) b (9/2,1) d (5,1)

Explanation:

Step1: Identify the coordinates of vertex E

From the graph, the coordinates of vertex E are (2, 9).

Step2: Apply the dilation rule

The dilation rule is $(x,y)\to(\frac{1}{2}x,\frac{1}{2}y)$. For point E(2, 9), substitute $x = 2$ and $y=9$ into the rule. We get $x'=\frac{1}{2}\times2 = 1$ and $y'=\frac{1}{2}\times9=\frac{9}{2}$.

Answer:

A. $(1,\frac{9}{2})$