Question

27 the figure below shows quadrilateral efgh on a coordinate plane. if the quadrilateral is dilated using the rule (x,y)→(x,y) with the origin as the center of dilation, what are the coordinates of vertex e of the dilated quadrilateral efgh? a (1,7) c (2,5) b (7,1) d (5,1)

Explanation:

Step1: Identify the rule

The rule is $(x,y)\to(y,x)$ which is a reflection over the line $y = x$.

Step2: Locate original point E

Assume the original coordinates of point E from the graph are $(1,7)$.

Step3: Apply the rule

Using the rule $(x,y)\to(y,x)$, if $x = 1$ and $y=7$, the new - coordinates are $(7,1)$.

Answer:

B. $(7,1)$