Midpoint Formula

The Midpoint Formula is used to find the midpoint between two points (x1, y1) and (x2, y2) in a coordinate plane. It is given by: $$M = \left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right)$$ .

The midpoint is $$M = \left(\frac{1 + 3}{2}, \frac{2 + 4}{2}\right) = (2, 3)$$ .

The midpoint is the point that divides a line segment into two equal parts, making it essential for constructing bisectors and understanding symmetry.

The midpoint is $$M = \left(\frac{-8 + 5}{2}, \frac{6 + (-7)}{2}\right) = \left(-\frac{3}{2}, -\frac{1}{2}\right)$$ .

The midpoint is $$M = \left(\frac{3 + 7}{2}, \frac{-1 + (-5)}{2}\right) = (5, -3)$$ .

The midpoint is $$M = \left(\frac{2 + 4}{2}, \frac{3 + 7}{2}\right) = (3, 5)$$ .

The midpoint is $$M = \left(\frac{0 + 10}{2}, \frac{0 + 10}{2}\right) = (5, 5)$$ .

The midpoint is $$M = \left(\frac{-1 + 7}{2}, \frac{9 + (-1)}{2}\right) = (3, 4)$$ .

The formula is: $$M = \left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right)$$ .

The midpoint is $$M = \left(\frac{5 + 5}{2}, \frac{5 + 5}{2}\right) = (5, 5)$$ .