Distance in the Coordinate Plane

Front

What is the distance formula in the coordinate plane?

Back

The distance between two points (x1, y1) and (x2, y2) is given by the formula: d = √((x2 - x1)² + (y2 - y1)²).

Front

Find the distance between the points (1, 2) and (4, 6).

Back

5 units.

Front

What is the definition of perimeter?

Back

Perimeter is the total distance around a two-dimensional shape.

Front

How do you calculate the perimeter of a rectangle?

Back

Perimeter = 2 * (length + width).

Front

Find the perimeter of a rectangle with length 10 units and width 5 units.

Back

30 units.

Front

What is the definition of a coordinate plane?

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

What are the coordinates of the origin in the coordinate plane?

Back

(0, 0).

Front

Find the distance between the points (-1, -1) and (2, 3).

Back

√((2 - (-1))² + (3 - (-1))²) = √(3² + 4²) = 5 units.

Front

What is the length of the vertical side of a rectangle with coordinates (2, 3) and (2, -1)?

Back

4 units.

Front

What is the length of the horizontal side of a rectangle with coordinates (1, 2) and (5, 2)?

Back

4 units.