Question

Which of the following points represents point $F$ which is the midpoint between $C(5,0)$ and $D(5,-4)?$

• A. $(5,-1)$
• B. $(5,-2)$
• C. $(5,-3)$

Answer 1

The correct option is B $(5,-2)$

Given: $C(5,0)$ and $D(5,-4)$

Midpoint $=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

$=(\frac{5+5}{2},\frac{0-4}{2})$

$=(\frac{10}{2},\frac{-4}{2})$

$=(5,-2)$

Clearly, between $C(5,0)$ and $D(5,-4)$, there lies a midpoint $F(5,-2)$.