Question

What are the coordinates of the midpoint joining the points $A(x_1,y_1)$ and $B(x_2,y_2)$?

• A. $(\frac{x_1-x_2}{2},\frac{y_1-y_2}{2})$
• B. $(\frac{x_1+x_2}{2},\frac{y_1-y_2}{2})$
• C. $(\frac{x_1-x_2}{2},\frac{y_1+y_2}{2})$
• D. $(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

Answer 1

The correct option is D $(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$


The midpoint of the line segment joining any two points on the coordinate plane is simply the average of the two coordinate values.

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