Question

1. rectangle hijk is shown on the coordinate plane. a dilation centered around the origin will be performed on the rectangle. the location of k after the dilation is (2, -2). what are the coordinates of h? show your work!!!

Explanation:

Step1: Find original coordinates of K

From the graph, K is at (1, -1).

Step2: Determine the scale factor

Dilation rule: $(x,y)\to(kx,ky)$. For K: $1\times k = 2$, $-1\times k = -2$. So $k = 2$.

Step3: Find original coordinates of H

From the graph, H is at (-1, 1).

Step4: Apply dilation to H

Using scale factor $k = 2$: $H' = (-1\times2, 1\times2)=(-2, 2)$.

Answer:

The coordinates of \( H' \) are \((-2, 2)\).