Question

19 the figure below shows rectangle abcd on a coordinate plane. if the rectangle 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 c of the dilated rectangle abcd? a (4,3) c (3,4) b (5/2,10/2) d (10/2,5/2)

Explanation:

Step1: Identify original coordinates of C

From the graph, the coordinates of vertex C of rectangle ABCD are (8,6).

Step2: Apply dilation rule

The dilation rule is \((x,y)\to(\frac{1}{2}x,\frac{1}{2}y)\). For point C with \(x = 8\) and \(y=6\), the new \(x\) - coordinate is \(\frac{1}{2}\times8 = 4\) and the new \(y\) - coordinate is \(\frac{1}{2}\times6=3\).

Answer:

A. (4,3)