Exploring the Coordinate Plane

Front

What is the coordinate plane?

Back

The coordinate plane is a two-dimensional surface formed by the intersection of a horizontal line (x-axis) and a vertical line (y-axis). Each point on the plane is defined by an ordered pair of numbers (x, y).

Front

What are the four quadrants of the coordinate plane?

Back

The four quadrants are: Quadrant I (x > 0, y > 0), Quadrant II (x < 0, y > 0), Quadrant III (x < 0, y < 0), Quadrant IV (x > 0, y < 0).

Front

How do you calculate the perimeter of a rectangle?

Back

The perimeter of a rectangle is calculated using the formula: P = 2(length + width).

Front

What is the formula for the area of a rectangle?

Back

The area of a rectangle is calculated using the formula: A = length × width.

Front

How do you find the distance between two points on the coordinate plane?

Back

Front

What is the significance of the origin in the coordinate plane?

Back

The origin is the point (0, 0) where the x-axis and y-axis intersect. It serves as the reference point for all other points on the plane.

Front

What are the coordinates of a point in Quadrant II?

Back

In Quadrant II, the x-coordinate is negative and the y-coordinate is positive.

Front

If a rectangle has vertices at (2, 2), (2, 5), (6, 2), and (6, 5), what is its perimeter?

Back

The perimeter is 16 units.

Front

If a rectangle has vertices at (1, 1), (1, 6), (4, 1), and (4, 6), what is its area?

Back

The area is 20 square units.

Front

What is the distance between the points (5, 7) and (5, -3)?

Back

The distance is 10 units.