The endpoints of EFare E(xE , yE) and F(xF , yF). What are the coordinates of the midpoint of EF?

The endpoints of EFare E(xE , yE) and F(xF , yF). What are the coordinates of the midpoint of EF? class=

Verified Answer :

The coordinates of the midpoint of EF is ((xE + xF)/2, (yE + yF)/2)
The third option is the correct answer.

Answer:

(C)

Step-by-step explanation:

It is given that the end points of EF are \(E(x_{E},y_{E})\) and \(F(x_{F},y_{F})\).

Let the mid point of EF be M, then the coordinates of M can be found by using the mid point formula,

M=\((\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})\)

M=\((\frac{x_{E}+x_{F}}{2},\frac{y_{E}+y_{F}}{2})\)

Thus, option C is correct.