Question

What is the midpoint of AC

Answer 1

the answer is........ B

Answer 2

ANSWER

B) (m+p,n+r)

The coordinates are :

A(2m,2n)

B(2p,2r)

To find the x-coordinate of the midpoint of AB, we add the x-coordinates of the two points and divide by 2.

$x = \frac{2m + 2p}{2}$

Factor

$x = \frac{2(m + p)}{2}$

Simplify:

$x = m + p$

Similarly, the y-coordinate is

$y = \frac{2n + 2r}{2}$

$y = \frac{2(n + r)}{2}$

$y = (n + r)$

Hence the midpoint is

(m+p,n+r)