Distance on a Coordinate Plane

Front

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

Back

Distance = √((x2 - x1)² + (y2 - y1)²)

Front

What are the coordinates of the origin on a coordinate plane?

Back

(0, 0)

Front

If Point A is at (3, 4) and Point B is at (3, 0), what is the distance between them?

Back

4 units

Front

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

Back

5 units

Front

What does the x-coordinate represent in a coordinate pair?

Back

The horizontal position of a point on the coordinate plane.

Front

What does the y-coordinate represent in a coordinate pair?

Back

The vertical position of a point on the coordinate plane.

Front

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

Back

Midpoint = ((x1 + x2)/2, (y1 + y2)/2)

Front

What is the distance between the points (-2, -3) and (2, 1)?

Back

√((2 - (-2))² + (1 - (-3))²) = √(16 + 16) = √32 = 4√2 units

Front

If Point C is at (0, 5) and Point D is at (0, -5), what is the distance between them?

Back

10 units

Front

What is the significance of the distance between two points on a coordinate plane?

Back

It represents how far apart the points are from each other.