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 (positive x, positive y), Quadrant II (negative x, positive y), Quadrant III (negative x, negative y), Quadrant IV (positive x, negative y).

Front

What is an ordered pair?

Back

A pair of numbers (x, y) that represent a point on the coordinate plane, where 'x' is the horizontal position and 'y' is the vertical position.

Front

What does the x-value represent in an ordered pair?

Back

The x-value indicates the horizontal position of a point on the coordinate plane.

Front

What does the y-value represent in an ordered pair?

Back

The y-value indicates the vertical position of a point on the coordinate plane.

Front

In which quadrant is the point (-3, 2) located?

Back

Quadrant II, because x is negative and y is positive.

Front

In which quadrant is the point (4, -5) located?

Back

Quadrant IV, because x is positive and y is negative.

Front

What is the origin in the coordinate plane?

Back

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

Front

How do you identify the quadrant of a point?

Back

By checking the signs of the x and y values: (+,+) for Quadrant I, (-,+) for Quadrant II, (-,-) for Quadrant III, and (+,-) for Quadrant IV.

Front

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

Back

5 units, calculated using the Pythagorean theorem: √(3² + 4²) = √(9 + 16) = √25 = 5.