Directions: Determine the coordinates of the indicated points.
1.Determine the coordinates of one of the endpoints of HG̅̅̅̅ such that H(13, −4)
and M(−1,1) where point M is the midpoint of HG̅̅̅̅.
answer??
1.Determine the coordinates of one of the endpoints of HG̅̅̅̅ such that H(13, −4)
and M(−1,1) where point M is the midpoint of HG̅̅̅̅.
answer??
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Answer: G(-15,6)
Step-by-step explanation: Using the midpoint formula, we can find the coordinates of another endpoint, G.
Please see attached photo for the solution.
For the checking, we can use the same formula to see if we can get the coordinates of the midpoint, M.
where: x1 and y1 are H's coordinates;
x2 and y2 are G's coordinates.
= [ (x1 + x2)/2 ] , [ (y1 + y2)/2 ]
= [ (13+(-15))/2 ] , [ (-4+6)/2 ]
= [ (-2/2) , (2/2) ]
= (-1,1) => midpoint of M
Therefore, G(-15,6) as endpoint's coordinates are correct.