Plotting and Identifying Points on the 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

How do you identify the quadrant of a point?

Back

By examining the signs of the x and y coordinates: positive x and y is Quadrant I, negative x and positive y is Quadrant II, negative x and y is Quadrant III, positive x and negative y is Quadrant IV.

Front

What are coordinates?

Back

Ordered pairs (x, y) that define the position of a point on the coordinate plane.

Front

What does the first number in a coordinate pair represent?

Back

The x-coordinate, which indicates the horizontal position on the coordinate plane.

Front

What does the second number in a coordinate pair represent?

Back

The y-coordinate, which indicates the vertical position on the coordinate plane.

Front

How do you plot a point on the coordinate plane?

Back

Start at the origin (0,0), move horizontally to the x-coordinate, then vertically to the y-coordinate.

Front

What is the origin in the coordinate plane?

Back

The point (0, 0) where the x-axis and y-axis intersect.

Front

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

Back

5 units, calculated using the Pythagorean theorem: √(3² + 4²) = 5.

Front

What is the significance of negative coordinates?

Back

Negative coordinates indicate positions to the left of the y-axis (for x) or below the x-axis (for y).