M(9, 8) is the midpoint of rs . the coordinates of s are (10, 10). what are the coordinates of r?
a) (18, 16)
b) (11, 12)
c) (9.5, 9)
d) (8, 6)

D) (8, 6)

Step-by-step explanation:

Given: M(9, 8) is the midpoint of RS . The coordinates of S are (10, 10).

Here we have to use the mid-point formula:

Here (x, y) is the midpoint.

(x, y) = M(9, 8)

(x2, y2) = (10, 10)

Here x = 9, y = 8 and x2 = 10 and y2 = 10

Now let's plug in these values in the mid-point formula and find (x1, y1)

Let's simplify and find the value of x1 and y1

So the coordinates of R(8, 6)

D) (8, 6)

Step-by-step explanation:

If (x,y) is a midpoint of a line segment joining and such that

and  (1)

Given : M(9, 8) is the midpoint of RS . The coordinates of S are (10, 10).

Let The coordinate of point R be (a,b).

Using (1) , we have

and  

and  

and  

and  

i.e. (a,b) = (8, 6)

Hence, the coordinates of R = (8, 6)

Thus , the correct answer is D) (8, 6)

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step-by-step explanation: