Question

50 POINTS PLEASE HELP Segment JK has endpoint J(2,4) and K(6,2). You dilate the segment using a dilation centered at the origin with a scale factor of 1/2 and then reflect the image in the x-axis. What is the midpoint of the final image?
A (2, -1.5)
B (-2, 1.5)
C (2, 1.5)
D (1.5, 2)

Answer 1

Answer:

C.

Step-by-step explanation:

Answer 2

The midpoint of the final image is  (2, 1.5).

What is the scale factor?

Scale Factor is used to scale shapes in different dimensions. In geometry, we learn about different geometrical shapes both two-dimension and three-dimension.

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 1/2 and then reflect the image on the x-axis.

The  co-ordinate of the final image is;

$\rm J' = Scale \ factor (J) = \dfrac{1}{2} (2, \ 4) = (1, \ 2)\\\\K' = Scale \ factor (K) = \dfrac{1}{2} (6, \ 2) = (3, \ 1)$

The midpoint of the final image is;

$\rm Midpoint \ of \ J'= \left (\dfrac{1+3}{2} \right )= \left (\dfrac{4}{2} \right )=2\\\\ Midpoint \ of \ K'= \left (\dfrac{2+1}{2} \right )= \left (\dfrac{3}{2} \right )=1.5$

Hence, the midpoint of the final image is  (2, 1.5).

To know more about midpoint click the link given below.

https://brainly.com/question/13506241

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