Question

17 the figure below shows rectangle abcd on a coordinate plane. if the rectangle is dilated using the rule (x,y)→(1/5x,1/5y) with the origin as the center of dilation, what are the coordinates of vertex d of the dilated rectangle abcd? a (1,2) c (2,1) b (3,5) d (5,3)

Explanation:

Step1: Identify original coordinates of D

From the graph, the coordinates of vertex D are (5, 10).

Step2: Apply dilation rule

The dilation rule is $(x,y)\to(\frac{1}{5}x,\frac{1}{5}y)$. For point D with $x = 5$ and $y=10$, we calculate $\frac{1}{5}\times5 = 1$ and $\frac{1}{5}\times10 = 2$.

Answer:

A. (1, 2)