Coordinate Plane

Front

What is 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). It is used to locate points using ordered pairs (x, y).

Front

What are the four quadrants of a 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

What does the ordered pair (2, 5) represent?

Back

The ordered pair (2, 5) represents a point located 2 units to the right of the origin and 5 units above the x-axis.

Front

How do you identify the quadrant of a point?

Back

To identify the quadrant of a point, look at the signs of the x and y coordinates: (+, +) for Quadrant I, (-, +) for Quadrant II, (-, -) for Quadrant III, and (+, -) for Quadrant IV.

Front

What are the coordinates of the origin?

Back

The coordinates of the origin are (0, 0).

Front

What does it mean for a point to be '5 units to the left of the origin'?

Back

It means the x-coordinate of the point is -5, while the y-coordinate can be any value, resulting in points like (-5, y).

Front

What is the significance of the x-axis and y-axis?

Back

The x-axis is the horizontal line on the coordinate plane, while the y-axis is the vertical line. They are used to define the position of points.

Front

What are positive and negative coordinates?

Back

Positive coordinates are located in Quadrants I and II, while negative coordinates are found in Quadrants III and IV.

Front

How do you plot the point (1, -2) on the coordinate plane?

Back

Start at the origin (0, 0), move 1 unit to the right (positive x-direction), and then move 2 units down (negative y-direction).

Front

What is the distance from the origin to the point (3, 4)?

Back

The distance can be calculated using the Pythagorean theorem: distance = √(3² + 4²) = √(9 + 16) = √25 = 5.