Midpoints and Endpoints

Front

What is the definition of a midpoint in geometry?

Back

The midpoint of a line segment is the point that divides the segment into two equal parts, equidistant from both endpoints.

Front

How do you calculate the midpoint of a segment with endpoints (x1, y1) and (x2, y2)?

Back

The midpoint M is calculated using the formula: M = ((x1 + x2)/2, (y1 + y2)/2).

Front

Find the midpoint of the segment with endpoints (1, 7) and (9, 0).

Back

(5, 3.5)

Front

What is the midpoint between (-4, 4) and (-2, 2)?

Back

(-3, 3)

Front

Find the midpoint of the line segment with endpoints (3, 9) and (5, 9).

Back

(4, 9)

Front

What is the midpoint between (3, -1) and (8, -6)?

Back

(5.5, -3.5)

Front

Find the midpoint of the segment with endpoints (-4, 5) and (7, -9).

Back

(1.5, -2)

Front

What is the significance of midpoints in geometry?

Back

Midpoints are used to find the center of a segment, to bisect angles, and in various geometric constructions.

Front

What is the distance formula used for in relation to midpoints?

Back

The distance formula calculates the length of a segment, which can help in verifying the correctness of a midpoint.

Front

If a segment has endpoints (a, b) and (c, d), what is the x-coordinate of the midpoint?

Back

The x-coordinate of the midpoint is (a + c)/2.