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 (-3, -5) and (7, 8).

Back

M = ((-3 + 7)/2, (-5 + 8)/2) = (2, 1.5).

Front

How do you find the other endpoint of a line segment if you know one endpoint and the midpoint?

Back

If A(x1, y1) is one endpoint and M(xm, ym) is the midpoint, the other endpoint B(x2, y2) can be found using: x2 = 2*xm - x1 and y2 = 2*ym - y1.

Front

Given endpoint A(6, -9) and midpoint M(-2, 10), find the other endpoint B.

Back

Using the formula: B = (2*-2 - 6, 2*10 - (-9)) = (-10, 29).

Front

What is the significance of the Midpoint Formula in geometry?

Back

The Midpoint Formula helps in determining the center point of a line segment, which is crucial for various geometric constructions and proofs.

Front

Find the midpoint of the line segment with endpoints (-1, -3) and (3, 5).

Back

M = ((-1 + 3)/2, (-3 + 5)/2) = (1, 1).

Front

If the midpoint of a line segment is (4, 2) and one endpoint is (6, 3), what is the other endpoint?

Back

Using the formula: B = (2*4 - 6, 2*2 - 3) = (2, 1).

Front

What is the formula to calculate the distance between two points?

Back

Front

Find the midpoint of the line segment with endpoints (-2.5, -7) and (-10, -3).

Back

M = ((-2.5 - 10)/2, (-7 - 3)/2) = (-6.25, -5).

Front

What is the relationship between the midpoint and the endpoints of a line segment?

Back

The midpoint is equidistant from both endpoints of the line segment, meaning it divides the segment into two equal parts.