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M is the midpoint of JK The coordinates of J are 6 3 and the coordinates of M are -3 4 find the coordinates of K?
Wiki User
∙ 14y ago
M is the midpoint and J and K are the endpoints.
J has coordinates (6,3) and M has coordinates (-3,4) Let (x,y) be the coordinates of K
Then ((6+x)/2, (3+y)/2)=(-3,4)
So 1/2( 6+x)=-3 so 6+x=-6 and x=-12
1/2(3+y)=4 so 3+y=8 and y=5
Then K=(-12,5)
We check that M is in fact the midpoint of J=(6,3) and K=(-12,5)
(-6/2, 8/2)=(-3,4)=M
Wiki User
∙ 14y ago
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