Question

The endpoints of CD are C(3,−5) and D(7, 9).
The coordinates of the midpoint M of CD are?

Answer 1

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Answer 2

M(5,2)

Explanation:

We use the midpoint rule:

`( (x_1 + x_2)/(2), (y_1 + y_2)/(2) )`

We just have to find the arithmetic mean of the x and y-coordinates.

The endpoints of CD are given as C(3,−5) and D(7, 9).

We substitute these values to get:

`( (7 + 3)/(2), (9 + - 5)/(2) )`

`( (10)/(2), (4)/(2) )`

`(5, 2)`

Therefore the coordinates of the midpoint M of CD are (5,2)