Distance Between Points

Front

What is the formula to calculate the distance between two points (x1, y1) and (x2, y2)?

Back

The distance d is given by the formula: d = √((x2 - x1)² + (y2 - y1)²).

Front

How do you find the midpoint of a line segment between two points (x1, y1) and (x2, y2)?

Back

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

Front

What is the distance between the points (0, 0) and (3, 4)?

Back

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

Front

What is the distance between the points (4, 5) and (-12, 5)?

Back

The distance is 16, calculated as: d = √((-12 - 4)² + (5 - 5)²) = √((-16)²) = √256 = 16.

Front

What is the midpoint of the line segment from (2, 4) to (2, 8)?

Back

The midpoint is (2, 6), calculated as: M = ((2 + 2)/2, (4 + 8)/2) = (2, 6).

Front

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

Back

The distance is approximately 5.0, calculated as: d = √((4 - 1)² + (5 - 1)²) = √(9 + 16) = √25 = 5.

Front

How do you calculate the distance between two points in a coordinate plane?

Back

Use the distance formula: d = √((x2 - x1)² + (y2 - y1)²).

Front

What is the significance of the midpoint in geometry?

Back

The midpoint divides a line segment into two equal parts and is used in various geometric constructions.

Front

What is the distance between the points (3, 3) and (7, 1)?

Back

The distance is approximately 4.47, calculated as: d = √((7 - 3)² + (1 - 3)²) = √(16 + 4) = √20 ≈ 4.47.

Front

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

Back

The distance is approximately 4.24, calculated as: d = √((2 - (-1))² + (2 - (-1))²) = √(9 + 9) = √18 ≈ 4.24.