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 x-axis and y-axis?

Back

The x-axis is the horizontal line on a coordinate plane, while the y-axis is the vertical line. Together, they create four quadrants.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers used to locate a point on the coordinate plane, written in the form (x, y).

Front

How do you graph the point (0, 0)?

Back

To graph the point (0, 0), start at the origin where the x-axis and y-axis intersect. This point is called the origin.

Front

What does the first number in an ordered pair represent?

Back

The first number in an ordered pair represents the position on the x-axis.

Front

What does the second number in an ordered pair represent?

Back

The second number in an ordered pair represents the position on the y-axis.

Front

What are the four quadrants of the coordinate plane?

Back

The four quadrants are: Quadrant I (x positive, y positive), Quadrant II (x negative, y positive), Quadrant III (x negative, y negative), Quadrant IV (x positive, y negative).

Front

How do you identify the coordinates of a point on the coordinate plane?

Back

To identify the coordinates of a point, move horizontally to the x-value and then vertically to the y-value.

Front

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

Back

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

Front

What is the significance of the origin in the coordinate plane?

Back

The origin (0, 0) is the starting point for the coordinate plane where the x-axis and y-axis intersect.