Coordinate Planes

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 pairs of numbers called coordinates.

Front

What are the coordinates of a point?

Back

Coordinates are a pair of numbers that define the position of a point on a coordinate plane, written as (x, y), where 'x' is the horizontal position and 'y' is the vertical position.

Front

What does the x-axis represent in a coordinate plane?

Back

The x-axis is the horizontal line in a coordinate plane where the y-coordinate is zero. It represents the values of 'x'.

Front

What does the y-axis represent in a coordinate plane?

Back

The y-axis is the vertical line in a coordinate plane where the x-coordinate is zero. It represents the values of '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

How do you reflect a point across the y-axis?

Back

To reflect a point (x, y) across the y-axis, change the sign of the x-coordinate. The reflected point will be (-x, y).

Front

What are the coordinates of point U if it is located at (-3, -4)?

Back

Point U is located at (-3, -4) in Quadrant III.

Front

What are the coordinates of point P if it is the reflection of point U across the y-axis?

Back

Point P, the reflection of point U (-3, -4) across the y-axis, is located at (3, -4) in Quadrant IV.

Front

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

Back

The origin is the point where the x-axis and y-axis intersect, represented by the coordinates (0, 0). It serves as the reference point for all other points.

Front

How do you identify the quadrant of a point with coordinates (x, y)?

Back

To identify the quadrant: If x > 0 and y > 0, it's Quadrant I; if x < 0 and y > 0, it's Quadrant II; if x < 0 and y < 0, it's Quadrant III; if x > 0 and y < 0, it's Quadrant IV.