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Question

# Calculate the midpoint of the segment with the given endpoints. $G(5,3), H(-5,-3)$

Solution

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Step 1
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Determine the midpoint of the given coordinates.

\begin{align*} M & = \left ( \dfrac{x_{1} + x_{2}}{2} , \dfrac {y_{1} + y_{2}}{2} \right) && {\text {midpoint formula}} \\ & = \left( \dfrac {5 + \left(-5\right)}{2} + \dfrac{3 + \left(-3\right)}{2} \right) && {\text {substitute for the given values}} \\ & = \left ( \dfrac {0}{2} , \dfrac {0}{2} \right) && {\text {simplify the numerators}} \\ & = \left ( 0 , 0 \right) && {\text {midpoint of the segment}} \end{align*}

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