Question

What is the midpoint of AC

Answer 1

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

Answer 2

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 = (2m + 2p)/(2)`

Factor

`x = (2(m + p))/(2)`

Simplify:

`x = m + p`

Similarly, the y-coordinate is

`y = (2n + 2r)/(2)`

`y = (2(n + r))/(2)`

`y = (n + r)`

Hence the midpoint is

(m+p,n+r)