Exploring Rectangular Coordinates

During a math class, Henry explained that the first quadrant contains points where both x and y coordinates are positive.

• Both x and y coordinates can be negative.

• True

• The first quadrant is where x is zero and y is positive.

• The first quadrant contains points where x is negative and y is positive.

Grace is standing in the second quadrant of a coordinate plane. She notices that the x-coordinate is always positive.

• True

• False

• The x-coordinate can be zero

• The x-coordinate is always negative

Michael is trying to locate a point on a map that lies in the fourth quadrant. The coordinates of this point are represented as (x, -y).

• (x, y) where x < 0 and y > 0

• (x, y) where x > 0 and y < 0

• (x, -y) where x < 0 and y < 0

• (x, -y) where x > 0 and y > 0

David is standing at the origin (0,0) on a coordinate plane. He claims that the origin is located in the first quadrant.

• False

• The origin is in the second quadrant.

• True

• The origin is in the third quadrant.

During a math class, Aria explained that in the third quadrant of the Cartesian plane, both x and y coordinates are negative.

• True

• Both x and y coordinates are positive.

• The third quadrant has positive x and negative y.

• Only x is negative in the third quadrant.

During a school project, Charlotte plotted a point on a graph in the second quadrant, which is represented as ______.

• (x, y)

• (x, -y)

• (-x, y)

• (-x, -y)

Liam is studying the coordinate plane in his math class. He learns that all points in the first quadrant have a positive y-coordinate.

• True

• All points in the first quadrant have a positive x-coordinate.

• Some points in the first quadrant have a zero y-coordinate.

• All points in the first quadrant have a negative y-coordinate.

In a math class, Ethan learns that the x-axis divides the coordinate plane into two equal halves.

• The x-axis divides the plane into three sections.

• True

• The x-axis has no effect on the coordinate plane.

• The x-axis is only a reference line.

Isla is studying the coordinate plane in her math class. She learns that the _________.

• The y-axis is not related to the coordinate plane.

• The x-axis divides the coordinate plane into four quadrants.

• The y-axis only divides the plane into two sections.

• The plane is divided into four quadrants.

Noah is trying to determine the location of a point located at (-3, 2) on a coordinate plane. He believes it is in the second quadrant.

• True

• The point is in the first quadrant

• False

• The point is in the third quadrant