Question

fill in each blank so that the resulting statement is true. the axes of the rectangular coordinate system divide the plane into regions, called ____. there are ____ of these regions. the axes of the rectangular coordinate system divide the plane into regions, called dropdown there are dropdown of these regions.

Explanation:

Step1: Recall rectangular coordinate system

In a rectangular (Cartesian) coordinate system, the x - axis and y - axis intersect at the origin and divide the plane into four regions.

Step2: Identify the name of the regions

These regions are called quadrants. And as the x - axis and y - axis are perpendicular, they divide the plane into 4 quadrants.

Answer:

The axes of the rectangular coordinate system divide the plane into regions, called \(\boldsymbol{quadrants}\). There are \(\boldsymbol{4}\) of these regions.