Question

1. the figure below shows rectangle abcd on a coordinate plane. if the rectangle is dilated using the rule (x, y)→(1/4x, 1/4y) 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 (15/4, 10/4) d (10/4, 15/4)

Explanation:

Step1: Identify the original coordinates of point C

From the graph, the coordinates of point C are $(16,12)$.

Step2: Apply the dilation rule

The dilation rule is $(x,y)\to(\frac{1}{4}x,\frac{1}{4}y)$. For point C with $x = 16$ and $y=12$, we calculate the new - coordinates.
For the x - coordinate of C': $\frac{1}{4}\times16 = 4$.
For the y - coordinate of C': $\frac{1}{4}\times12 = 3$.

Answer:

A. $(4,3)$