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Question

Find the coordinates of the midpoint of the segment with the given endpoints. C(5,3),D(12;8)C(-5,3), D(12 ; 8)

Solution

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Answered 2 years ago
Answered 2 years ago
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Determine the midpoint of the given coordinates.

M=(x1+x22,y1+y22)midpoint formula=(5+122+3+82)substitute for the given values=(72,112)simplify the numerators=(72,112)midpoint of the segment\begin{align*} \text {M} & = \left ( \dfrac{x_{1} + x_{2}}{2} , \dfrac {y_{1} + y_{2}}{2} \right) && {\text {midpoint formula}} \\ & = \left( \dfrac {-5 + 12}{2} + \dfrac{3 + 8}{2} \right) && {\text {substitute for the given values}} \\ & = \left ( \dfrac {7}{2} , \dfrac {11}{2} \right) && {\text {simplify the numerators}} \\ & = \left ( \dfrac{7}{2}, \dfrac{11}{2} \right) && {\text {midpoint of the segment}} \end{align*}

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