Question

POSSIBLE POINTS: 10

The midpoint of QR is M(2, 1.5). One endpoint is R(1, -1). Find the coordinates of endpoint Q. {Write as an ordered pair (X, Y).} Q

Answer 1

Q (3.4)

Explanation:

Midpoint for point (x1,y1) and (x2,y2) is given by

(x1+x2)/2, (y1+y2)/2.

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Given

one endpoint ( R(1, -1)

midpoint is M(2,1.5)

we have to find coordinates of endpoint Q

let Q(x,y)

Thus, for x coordinate of midpoint

2 = (1+x)/2

=> 2*2 = 1+x

=> 4 = 1+x

=> x = 4-1 = 3

x coordinate of midpoint m is 3

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for y coordinate of midpoint

1.5 = (-1+y)/2

=> 2*1.5 = -1+y

=> 3 = -1+ y

=> y = 3 + 1 = 4

y coordinate of midpoint m is 4

Thus, the coordinates of endpoint Q (3.4)