Midpoint Formula

What is the significance of the midpoint in geometry?

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

• It is the point that represents the highest value in a data set.

• It is the point where two lines intersect at a right angle.

• It is the point that indicates the center of a circle.

Find the midpoint of the points (1, 1) and (3, 3).

• (2, 2)

• (1, 1)

• (3, 3)

• (4, 4)

What is the formula to find the midpoint of two points?

• M = \left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right)

• M = \left(\frac{x_1 - x_2}{2}, \frac{y_1 - y_2}{2}\right)

• M = \left(\frac{x_1 + y_2}{2}, \frac{y_1 + x_2}{2}\right)

• M = \left(\frac{x_1 \cdot x_2}{2}, \frac{y_1 \cdot y_2}{2}\right)

Calculate the midpoint of the points (4, 4) and (6, 6).

• (5, 5)

• (4, 4)

• (6, 6)

• (5, 6)

What is the Midpoint Formula?

• M = (x1 + x2, y1 + y2)

• M = \left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right)

• M = (x1 - x2, y1 - y2)

• M = \left(\frac{x_1 - x_2}{2}, \frac{y_1 - y_2}{2}\right)

If point A is (2, 3) and point B is (4, 7), what is the midpoint?

• (3, 5)

• (2, 5)

• (3, 4)

• (4, 3)

What is the midpoint of (-2, -1) and (2, 1)?

• (0, 0)

• (1, 0)

• (-1, -1)

• (0, 1)

Find the midpoint of the points (-1, 9) and (7, -1).

• (3, 4)

• (4, 3)

• (2, 5)

• (5, 2)

If the endpoints of a segment are (x1, y1) and (x2, y2), how do you express the midpoint?

• M = \left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right)

• M = (x_1 + x_2, y_1 + y_2)

• M = \left(\frac{x_1 - x_2}{2}, \frac{y_1 - y_2}{2}\right)

• M = \left(\frac{x_1 + x_2}{2}, \frac{y_1 - y_2}{2}\right)

Calculate the midpoint of (-8, 6) and (5, -7).

• M = \left(-\frac{3}{2}, -\frac{1}{2}\right)

• M = \left(\frac{-3}{2}, \frac{1}{2}\right)

• M = \left(\frac{-1}{2}, \frac{3}{2}\right)

• M = \left(\frac{3}{2}, -\frac{1}{2}\right)