Midpoint and distance formula

Front

What is the midpoint formula?

Back

The midpoint formula is used to find the midpoint (M) between two points (x1, y1) and (x2, y2) in a coordinate plane: M = ((x1 + x2)/2, (y1 + y2)/2).

Front

How do you calculate the distance between two points?

Back

The distance formula is used to find the distance (d) between two points (x1, y1) and (x2, y2): d = √((x2 - x1)² + (y2 - y1)²).

Front

What does it mean for point B to be the midpoint of segment AC?

Back

If B is the midpoint of segment AC, then AB = BC, meaning that B divides AC into two equal segments.

Front

Find the y-coordinate of the midpoint between (2, 4) and (6, 8).

Back

The y-coordinate of the midpoint is 6, calculated as (4 + 8)/2.

Front

What is the distance between the points (1, 2) and (4, 6)?

Back

The distance is 5, calculated using the distance formula: d = √((4 - 1)² + (6 - 2)²) = √(9 + 16) = √25 = 5.

Front

If A(1, 2) and B(3, 4), what is the midpoint M?

Back

The midpoint M is (2, 3), calculated as M = ((1 + 3)/2, (2 + 4)/2).

Front

What is the significance of the distance formula in geometry?

Back

The distance formula helps determine the length of a line segment between two points in a coordinate plane.

Front

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

Back

The distance is 5, calculated as d = √((3 - 0)² + (4 - 0)²) = √(9 + 16) = √25 = 5.

Front

What is the midpoint of the line segment connecting (5, 1) and (7, 3)?

Back

The midpoint is (6, 2), calculated as M = ((5 + 7)/2, (1 + 3)/2).

Front

If the coordinates of point A are (2, 3) and point B are (8, 7), what is the distance between them?

Back

The distance is 7.21, calculated as d = √((8 - 2)² + (7 - 3)²) = √(36 + 16) = √52 ≈ 7.21.