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 (0, -3) and (5, 2).

Back

(2.5, -0.5)

Front

Find the midpoint of the line segment with endpoints (8, -1) and (6, -1).

Back

(7, -1)

Front

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

Back

Use the formula: (x2, y2) = (2 * Mx - x1, 2 * My - y1), where (x1, y1) is the known endpoint and (Mx, My) is the midpoint.

Front

Find the other endpoint of the line segment with endpoint A(2, 7) and midpoint M(-3, 10).

Back

(-8, 13)

Front

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

Back

(-1, -3)

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

If the midpoint of a line segment is (4, 3) and one endpoint is (10, -3), what is the other endpoint?

Back

(-2, 9)

Front

What is the geometric interpretation of the midpoint?

Back

The midpoint represents the center point of a line segment, balancing the distance between the two endpoints.

Front

Calculate the midpoint of the line segment with endpoints (-4, 5) and (2, -1).

Back

(-1, 2)