Question

Fill in the blank. (Simplify your answer completely.) The midpoint of a line segment joining (a, b) and (c,d) is given by the formula (x, y)

Answer 1

The midpoint of a line segment joining (a, b) and (c,d) is given by the formula
`((a+c)/(2),(b+d)/(2) )`

Explanation:

If point M in the figure lies midway between points
`P(x_(1),y_(1))` and
`Q(x_(2),y_(2))`, point M is called the midpoint of segment. To find the coordinates of M, we average the x-coordinates and average the y-coordinates of P and Q.

So the the midpoint of the line segment with endpoints at (a,b) and (c,d) is the point with coordinates of

`((a+c)/(2),(b+d)/(2) )`