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 midpoint of the line segment with endpoints (-3, -5) and (7, 8).

Back

(2, 1.5)

Front

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

Back

(-1, -3)

Front

If point A is (-4, 2) and the midpoint M is (8, 7), what is the other endpoint B?

Back

(20, 12)

Front

If point A is (10, -3) and the midpoint M is (4, 3), what is the other endpoint B?

Back

(-2, 9)

Front

What does the midpoint of a line segment represent?

Back

The midpoint represents the point that is exactly halfway between the two endpoints of the segment.

Front

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

Back

Add the x-coordinates of the endpoints and divide by 2: (x1 + x2)/2.

Front

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

Back

Add the y-coordinates of the endpoints and divide by 2: (y1 + y2)/2.

Front

What is the significance of the midpoint in geometry?

Back

The midpoint is significant as it divides a line segment into two equal parts.