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Points P and R are located at (1, 3) and (7, 15) respectively. Point M is the midpoint of segment PR. Segment PR is reflected over the x-axis. What is the sum of the coordinates of the image of point  M (the midpoint of the reflected segment)?

 May 22, 2020
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Point P = (1,3)

Point R = (7,5)

 

First, let's find the coordinates of M, which is the midpoint of PR.

For x, half-way between 1 and 7 is 4.

For y, half-way between 3 and 15 is 9.

So the coordinates of M are (4,9).

 

This point is reflected over the x-axis -- which means that the x-value remains the same but

the y-value in now negative. This new point is (4,-9).

 

The sum of the coordinates of this image point is 4 + -9  =  -5.

 May 22, 2020

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