Question

Segment JK has endpoints J(2, 4) and K(6, 2). You dilate the segment using a dilation centered at the origin with a scale factor of ½ and then reflect the image over the x-axis. What is the midpoint of the final image?

Answer 1

`\begin{gathered} J(2,4) \\ k(6,2) \end{gathered}`

DILATION BY SCALE FACTORN OF 1/2

`\begin{gathered} J^(\prime)(1,2) \\ K^(\prime)(3,1) \end{gathered}`

REFLECTED OVER THE X-AXIS

`\begin{gathered} J^(\prime)(1,-2) \\ K^(\prime)(3,-1) \end{gathered}`

MIDPOINT OF THE FINAL IMAGE

`\begin{gathered} ((1+3)/(2),(-2+(-1))/(2) \\ (2,(-3)/(2)) \end{gathered}`