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

Answer:

The midpoint of a line segment joining (a, b) and (c,d) is given by the formula $(\frac{a+c}{2},\frac{b+d}{2} )$

Step-by-step 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

$(\frac{a+c}{2},\frac{b+d}{2} )$