2.5 - Midpoint Formula

Front

What is the Midpoint Formula?

Back

The Midpoint Formula is used to find the midpoint (M) of a line segment with endpoints (x1, y1) and (x2, y2). It is given by: M = ((x1 + x2)/2, (y1 + y2)/2).

Front

Find the midpoint of the line segment with endpoints (9, -4) and (-5, 9).

Back

(2, 2.5)

Front

Find the other endpoint of the line segment with endpoint A(-2.5, -7) and midpoint M(-9, -5).

Back

(-19, -4)

Front

Find the midpoint of the line segment with endpoints (0, 2) and (-2, -8).

Back

(-1, -3)

Front

Find the midpoint of the line segment with endpoints (0, -3) and (-2, -4).

Back

(-1, -3.5)

Front

Find the other endpoint of the line segment with endpoint A(10, -3) and midpoint M(4, 3).

Back

(-2, 9)

Front

What does the midpoint represent in a line segment?

Back

The midpoint represents the point that is equidistant from both endpoints of the line segment.

Front

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

Back

The x-coordinate of the midpoint is calculated as (x1 + x2)/2.

Front

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

Back

The y-coordinate of the midpoint is calculated as (y1 + y2)/2.

Front

If one endpoint is (3, 4) and the midpoint is (5, 6), how do you find the other endpoint?

Back

Use the formula: (x2, y2) = (2 * midpoint - endpoint). So, (x2, y2) = (2*5 - 3, 2*6 - 4) = (7, 8).