**Definition of Quadrants**

- The
*x*- and*y*- axes divide the coordinate plane into four regions. These regions are called the quadrants.

**Examples of Quadrants**

- The figure below shows the four quadrants of the coordinate plane.

**Solved Example on Quadrants**

Identify the quadrants in which the points (- 4, 2) and (3, - 8) are located.

Choices:

A. first and second quadrants respectively

B. second and third quadrants respectively

C. second and fourth quadrants respectively

D. only the second quadrant

Correct Answer: C

Solution:

Step 1:Start at the origin.

Step 2:Move 4 units to the left from they-axis.

Step 3:Then move 2 units above thex-axis.

Step 4:The point (- 4, 2) is in the second quadrant.

Step 5:Move 3 units to the right from the origin on the x-axis.

Step 6:Then move 8 units below thex-axis.

Step 7:The point (3, - 8) is in the fourth quadrant.

Step 8:The points (- 4, 2) and (3, - 8) are in the second and fourth quadrants respectively.

**Related Terms for Quadrants**

*x*-axis*y*-axis- Coordinate Plane