Distance on Coordinate Plane

Front

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

Back

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

Front

If Point A is at (3, 4) and Point B is at (7, 1), what is the distance between them?

Back

The distance is 5 units.

Front

What does the distance between two points represent in a coordinate plane?

Back

It represents the straight line length between the two points.

Front

How do you determine the distance between points when they lie on the same horizontal line?

Back

If points are on the same horizontal line, the distance is the absolute difference of their x-coordinates.

Front

How do you determine the distance between points when they lie on the same vertical line?

Back

If points are on the same vertical line, the distance is the absolute difference of their y-coordinates.

Front

What is the distance between the points (2, 3) and (2, 7)?

Back

The distance is 4 units.

Front

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

Back

The distance is 5 units.

Front

If the distance between two points is 0, what can be said about those points?

Back

The points are the same; they occupy the same location.

Front

What is the significance of the square root in the distance formula?

Back

The square root ensures that the distance is a non-negative value.

Front

If Point C is at (0, 0) and Point D is at (6, 8), what is the distance between them?

Back

The distance is 10 units.