Distance on the Coordinate Plane

Front

What is the coordinate plane?

Back

A two-dimensional surface where points are defined by pairs of numbers (x, y).

Front

What does the x-coordinate represent in an ordered pair?

Back

The horizontal position of a point on the coordinate plane.

Front

What does the y-coordinate represent in an ordered pair?

Back

The vertical position of a point on the coordinate plane.

Front

How do you correctly write an ordered pair?

Back

(x, y)

Front

What is the distance formula for two points (x1, y1) and (x2, y2)?

Back

Distance = √((x2 - x1)² + (y2 - y1)²)

Front

If you move 3 units east and 1 unit south from point Z, what is the new point if Z is at (2, 3)?

Back

(5, 2) - You add 3 to the x-coordinate and subtract 1 from the y-coordinate.

Front

What is the distance between points (1, 2) and (1, 5)?

Back

3 units - The distance is the difference in the y-coordinates.

Front

What is the distance between points (3, 4) and (7, 4)?

Back

4 units - The distance is the difference in the x-coordinates.

Front

How many units are between points G(2, 3) and H(2, 17)?

Back

14 units - The distance is the difference in the y-coordinates.

Front

What is the length of the longest side of a rectangle with dimensions 14 units and 8 units?

Back

14 units