Midpoint Formula

Front

What is the Midpoint Formula?

Back

The Midpoint Formula is used to find the midpoint of a line segment with endpoints (x1, y1) and (x2, y2). It is given by: Midpoint = \left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right)

Front

Find the midpoint of the segment with endpoints (4, 12) and (-6, 14).

Back

(-1, 13)

Front

What is the midpoint between (3, -1) and (7, -5)?

Back

(5, -3)

Front

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

Back

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

Front

What is the center of MN given M(3, -1) and N(7, -5)?

Back

(5, -3)

Front

If the endpoints of a segment are (x1, y1) and (x2, y2), what is the x-coordinate of the midpoint?

Back

The x-coordinate of the midpoint is \frac{x_1 + x_2}{2}.

Front

If the endpoints of a segment are (x1, y1) and (x2, y2), what is the y-coordinate of the midpoint?

Back

The y-coordinate of the midpoint is \frac{y_1 + y_2}{2}.

Front

What is the significance of the midpoint in geometry?

Back

The midpoint divides a line segment into two equal parts and is equidistant from both endpoints.

Front

How do you find the midpoint of a vertical line segment?

Back

For a vertical line segment with endpoints (x1, y1) and (x1, y2), the midpoint is \left(x_1, \frac{y_1 + y_2}{2}\right).

Front

How do you find the midpoint of a horizontal line segment?

Back

For a horizontal line segment with endpoints (x1, y1) and (x2, y1), the midpoint is \left(\frac{x_1 + x_2}{2}, y_1\right).