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Which pair of coordinates has a midpoint of (8, 3)?(0, 10) and (-6, 6)(-8, 4) and (8, -2)(-5, -8) and (-11, 2)(10, 0) and (6, 6)

User Dharmbir Singh
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1 Answer

11 votes
11 votes

The formula to calculate the midpoint between two points is,


\lparen x_m,y_m)=\lparen(x_1+x_2)/(2),(y_1+y_2)/(2))

Checking the last option for confirmation

The coordinates are (10, 0) and (6, 6)

Where,


\begin{gathered} \lparen x_1,y_1)=\left(10,0\right) \\ \lparen x_2,y_2)=\left(6,6\right) \end{gathered}

Therefore,


\begin{gathered} \lparen x_m,y_m)=\lparen(10+6)/(2),(0+6)/(2))=\left((16)/(2),(6)/(2)\right)=\left(8,3\right) \\ \therefore\lparen x_m,y_m)=(8,3) \end{gathered}

Hence, from the result above we can conclude that the coordinates with the pair (8,3) are (10, 0) and (6, 6).

Therefore, the answer is (10, 0) and (6, 6).

User Aykut
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