Distance in the Coordinate Plane

Front

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

Back

The distance formula is: d = √((x2 - x1)² + (y2 - y1)²).

Front

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

Back

5 units.

Front

What is the distance between the points (5, 5) and (1, 5) on a coordinate plane?

Back

4 units.

Front

How do you calculate the perimeter of a rectangle?

Back

Perimeter = 2 * (length + width).

Front

What is the distance between the points (0, 6) and (0, -4)?

Back

10 units.

Front

What are the coordinates of the vertices of a rectangle?

Back

The vertices are the points where the sides of the rectangle meet, e.g., (3, 2), (-2, 2), (-2, -1), (3, -1).

Front

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

Back

3 units.

Front

What is the height of a rectangle with coordinates (3, 2) and (-2, 2)?

Back

5 units.

Front

If a rectangle has a length of 5 units and a width of 3 units, what is its perimeter?

Back

16 units.

Front

What is the distance between two points on the same vertical line, such as (0, 6) and (0, -4)?

Back

The distance is the absolute difference of their y-coordinates: |6 - (-4)| = 10.