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Find the Coordinates of Midpoint of the Segment Joining the Points (22, 20) and (0, 16). - Geometry Mathematics 2

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Question

Find the coordinates of midpoint of the segment joining the points (22, 20) and (0, 16).

Sum

Solution

Let the given points be A(22, 20) and B(0, 16).

Let the coordinate of the midpoint be (x, y). 

Using the midpoint formula

\[x = \frac{22 + 0}{2}\]

\[\Rightarrow 2x = 22\]

\[\Rightarrow x = 11\] 

\[y = \frac{20 + 16}{2}\]

\[\Rightarrow 2y = 36\]

\[\Rightarrow y = 18\]

(x, y) = (11, 18)

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The Mid-point of a Line Segment (Mid-point Formula)
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Chapter 5: Co-ordinate Geometry - Practice Set 5.2 [Page 115]

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