8.3 Midpoint formula Quick Check

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

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

Back

To find the x-coordinate of the midpoint, add the x-coordinates of the endpoints and divide by 2: x_mid = (x1 + x2)/2.

Front

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

Back

To find the y-coordinate of the midpoint, add the y-coordinates of the endpoints and divide by 2: y_mid = (y1 + y2)/2.

Front

What is the midpoint of the segment with endpoints (3, -1) and (7, -5)?

Back

(5, -3)

Front

What is the midpoint of the segment with endpoints (-2, 0) and (9, -1)?

Back

(3.5, -0.5)

Front

What is the midpoint of the segment with endpoints (1, 9) and (-3, 5)?

Back

(-1, 7)

Front

What is the midpoint of the segment with endpoints (3, -1) and (8, -6)?

Back

(5.5, -3.5)

Front

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

Back

x_mid = (x1 + x2)/2.

Front

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

Back

y_mid = (y1 + y2)/2.

Front

What is the center of the segment with endpoints (3, -1) and (7, -5)?

Back

(5, -3)