Distance on a Coordinate Plane

Front

What is the distance formula used to find 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 A and B?

Back

The distance is 5 units.

Front

What does the term 'coordinate plane' refer to?

Back

A coordinate plane is a two-dimensional surface formed by the intersection of a vertical line (y-axis) and a horizontal line (x-axis).

Front

How do you identify the coordinates of a point on a coordinate plane?

Back

Coordinates are identified as (x, y), where x is the horizontal position and y is the vertical position.

Front

What is the significance of the origin in a coordinate plane?

Back

The origin is the point (0, 0) where the x-axis and y-axis intersect.

Front

If the coordinates of point C are (2, 3) and point D are (2, 7), what is the distance between C and D?

Back

The distance is 4 units.

Front

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

Back

The distance is 5 units.

Front

What is the relationship between the distance on a coordinate plane and the Pythagorean theorem?

Back

The distance formula is derived from the Pythagorean theorem, which relates the lengths of the sides of a right triangle.

Front

If two points have the same x-coordinate, what can be said about their distance?

Back

They are vertically aligned, and the distance is the absolute difference of their y-coordinates.

Front

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

Back

The distance is 5 units.