Coordinate Plane

Front

What is the coordinate plane?

Back

A two-dimensional surface formed by the intersection of a horizontal line (x-axis) and a vertical line (y-axis), used to locate points using ordered pairs.

Front

What are the four quadrants of the coordinate plane?

Back

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

What is an ordered pair?

Back

A pair of numbers (x, y) that represent the coordinates of a point on the coordinate plane.

Front

How do you identify the quadrant of a point (x, y)?

Back

Determine the signs of x and y: If x > 0 and y > 0, it's in Quadrant I; if x < 0 and y > 0, it's in Quadrant II; if x < 0 and y < 0, it's in Quadrant III; if x > 0 and y < 0, it's in Quadrant IV.

Front

What is the x-axis?

Back

The horizontal line on the coordinate plane where y = 0.

Front

What is the y-axis?

Back

The vertical line on the coordinate plane where x = 0.

Front

How do you reflect a point over the x-axis?

Back

Change the sign of the y-coordinate of the point (x, y) to get (x, -y).

Front

How do you reflect a point over the y-axis?

Back

Change the sign of the x-coordinate of the point (x, y) to get (-x, y).

Front

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

Back

Distance = √((x2 - x1)² + (y2 - y1)²).

Front

What is the area of a rectangle on the coordinate plane?

Back

Area = length × width, where length and width are the distances between the x and y coordinates of the opposite corners.