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Question

The houses of 4 friends are located at the points (6, 6), (0, 6), (3, 3) and (6, 0) as shown in the figure. A, C and B are the vertices of a right triangle. Find the coordinates of the midpoint of the line segment joining the points B(0, 6) and C(6, 6).

A
(0,3)
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B
(3,6)
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C
(6,3)
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D
(6,6)
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Solution

The correct option is B (3,6)
Let the midpoint be (x, y).

If (x, y) is the midpoint of the line joining the points (x1,y1) and (x2,y2) then
(x,y)=(x1+x22,y1+y22)

Here, (x1, y1)=(0,6),
(x2, y2)=(6,6)

(x,y)=(0+62,6+62)=(3,6)

Therefore, coordinates of the midpoint of the line segment joining the points (0, 6) and (6, 6) are (3,6).

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