Distance on the Coordinate Plane

Front

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

Back

Distance = √((x2 - x1)² + (y2 - y1)²)

Front

What does the x-axis represent on a coordinate plane?

Back

The x-axis is the horizontal line where y = 0.

Front

What does the y-axis represent on a coordinate plane?

Back

The y-axis is the vertical line where x = 0.

Front

If a point has coordinates (0, 5), on which axis does it lie?

Back

It lies on the y-axis.

Front

If a point has coordinates (3, 0), on which axis does it lie?

Back

It lies on the x-axis.

Front

How do you determine the distance between two points on the same horizontal line?

Back

Subtract the x-coordinates and take the absolute value.

Front

How do you determine the distance between two points on the same vertical line?

Back

Subtract the y-coordinates and take the absolute value.

Front

What is the distance between the points (2, 3) and (2, 8)?

Back

The distance is 5 units.

Front

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

Back

The distance is 3 units.

Front

What is the length of the diagonal of a rectangle with vertices at (0,0), (0,4), (3,0), and (3,4)?

Back

The length of the diagonal is 5 units.