Midpoint and distance formula

Front

What is the midpoint formula for two points (x1, y1) and (x2, y2)?

Back

The midpoint M is given by M = ((x1 + x2)/2, (y1 + y2)/2).

Front

How do you calculate the distance between two points (x1, y1) and (x2, y2)?

Back

The distance d is calculated using the formula d = √((x2 - x1)² + (y2 - y1)²).

Front

What is the midpoint between the points (3, -1) and (7, -5)?

Back

The midpoint is (5, -3).

Front

Find the distance between the points (4, 3) and (0, 6).

Back

The distance is 5.

Front

What is the distance between the points (1, 1) and (4, 5)?

Back

The distance is √((4 - 1)² + (5 - 1)²) = √(9 + 16) = √25 = 5.

Front

If the midpoint of a line segment is (2, 3) and one endpoint is (4, 5), what is the other endpoint?

Back

The other endpoint is (0, 1).

Front

What is the significance of the midpoint in geometry?

Back

The midpoint divides a line segment into two equal parts.

Front

How do you find the coordinates of the midpoint of a vertical line segment?

Back

For a vertical line segment with endpoints (x1, y1) and (x1, y2), the midpoint is ((x1), (y1 + y2)/2).

Front

What is the distance between the points (-2, -3) and (2, 1)?

Back

The distance is √((2 - (-2))² + (1 - (-3))²) = √(16 + 16) = √32 = 4√2.

Front

What is the midpoint of the line segment connecting the points (1, 2) and (3, 4)?

Back

The midpoint is (2, 3).