Midpoint Formula from Graphs

Front

What is the Midpoint Formula?

Back

The Midpoint Formula is used to find the midpoint (M) 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).

Front

How do you find the x-coordinate of the midpoint?

Back

To find the x-coordinate of the midpoint between two points (x1, y1) and (x2, y2), use the formula: x-coordinate = \frac{x_1 + x_2}{2}.

Front

How do you find the y-coordinate of the midpoint?

Back

To find the y-coordinate of the midpoint between two points (x1, y1) and (x2, y2), use the formula: y-coordinate = \frac{y_1 + y_2}{2}.

Front

Find the midpoint of the points (1, 3) and (5, -5).

Back

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

Front

Find the midpoint of the points (-3, -5) and (1, -1).

Back

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

Front

What is the significance of the midpoint in geometry?

Back

The midpoint is significant as it represents the exact center point between two points on a line segment, dividing it into two equal parts.

Front

If Point A is (2, 4) and Point B is (6, 8), what is the midpoint?

Back

The midpoint is M = \left(\frac{2 + 6}{2}, \frac{4 + 8}{2}\right) = \left(4, 6\right).

Front

What is the midpoint of the points (0, 0) and (4, 4)?

Back

The midpoint is M = \left(\frac{0 + 4}{2}, \frac{0 + 4}{2}\right) = \left(2, 2\right).

Front

How do you determine if a point is the midpoint of a segment?

Back

To determine if a point (x, y) is the midpoint of a segment between (x1, y1) and (x2, y2), check if: x = \frac{x_1 + x_2}{2} and y = \frac{y_1 + y_2}{2}.

Front

What is the x-coordinate of the midpoint of (2, 3) and (4, 7)?

Back

The x-coordinate is \frac{2 + 4}{2} = 3.