Question

1. what are the coordinates of the image of (2,4), where r(6, - 2) is the center of dilation with scale factor 0.5? (, )

Explanation:

Step1: Use the dilation formula

The formula for dilation with center \((h,k)\) and scale factor \(r\) is \((x',y')=(h + r(x - h),k + r(y - k))\). Here \(h = 6,k=-2,r = 0.5,x = 2,y = 4\).

Step2: Calculate the \(x -\)coordinate of the image

For the \(x -\)coordinate:

$$
LATEXBLOCK0
$$

Step3: Calculate the \(y -\)coordinate of the image

For the \(y -\)coordinate:

$$
LATEXBLOCK1
$$

Answer:

\((4,1)\)