Distance on the coordinate plane

Front

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

Back

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

Front

What is the distance between two points that have the same x-coordinate?

Back

The distance is the absolute difference between their y-coordinates.

Front

What is the distance between two points that have the same y-coordinate?

Back

The distance is the absolute difference between their x-coordinates.

Front

If point A is at (3, 4) and point B is at (3, 10), what is the distance between them?

Back

The distance is 6 units.

Front

How do you find the distance between points (-2, 3) and (4, 3)?

Back

Since they have the same y-coordinate, the distance is |4 - (-2)| = 6 units.

Front

What is the distance between the points (0, 0) and (5, 0)?

Back

The distance is 5 units.

Front

If the coordinates of two points are (x1, y1) and (x2, y2), what does it mean if the distance is zero?

Back

It means that the two points are the same point.

Front

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

Back

The distance is 3 units.

Front

How do you calculate the distance between points (3, 4) and (3, -2)?

Back

Use the formula: d = |y2 - y1| = |(-2) - 4| = 6 units.

Front

What is the significance of the distance formula in geometry?

Back

It allows us to determine how far apart two points are in a two-dimensional space.