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).

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 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

What are coordinates?

Back

A pair of numbers (x, y) that define a point's position on the coordinate plane.

Front

What does the point (0, 0) represent?

Back

The origin, where the x-axis and y-axis intersect.

Front

In which quadrant is the point (3, -4) located?

Back

Quadrant IV.

Front

In which quadrant is the point (-5, 2) located?

Back

Quadrant II.

Front

What is the significance of the signs of coordinates?

Back

The sign of the x-coordinate indicates the position relative to the y-axis, and the sign of the y-coordinate indicates the position relative to the x-axis.

Front

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

Back

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