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

Distance = √((x2 - x1)² + (y2 - y1)²)

Front

What is the definition of a coordinate plane?

Back

A coordinate plane is a two-dimensional surface formed by the intersection of a horizontal line (x-axis) and a vertical line (y-axis).

Front

How do you find the length of a rectangle given its coordinates?

Back

Length = |x2 - x1|, where (x1, y1) and (x2, y2) are the coordinates of two opposite corners.

Front

What is the definition of perimeter in relation to a rectangle?

Back

Perimeter is the total distance around the rectangle, calculated as Perimeter = 2(length) + 2(width).

Front

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

Back

Perimeter = 2(5) + 2(3) = 10 + 6 = 16 units.

Front

What is the distance between the points (4, 5) and (4, 1)?

Back

Distance = |5 - 1| = 4 units.

Front

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

Back

Length = |3 - (-1)| = 4 units.

Front

How do you determine the width of a rectangle using its coordinates?

Back

Width = |y2 - y1|, where (x1, y1) and (x2, y2) are the coordinates of two opposite corners.

Front

What is the definition of a rectangle in the coordinate plane?

Back

A rectangle is a quadrilateral with opposite sides equal and all angles equal to 90 degrees.

Front

If the coordinates of a rectangle are (1, 2), (1, 5), (4, 5), and (4, 2), what is the width?

Back

Width = |5 - 2| = 3 units.