/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 9 The coordinate axes divide the p... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 8: Problem 9

The coordinate axes divide the plane into four parts, is called what?

Short Answer

Expert verified
They are called quadrants.

Step by step solution

01

Identify Coordinate Axes

Examine the X-axis (horizontal line) and Y-axis (vertical line) on the plane.
02

Understand the Division

Notice that the X and Y axes intersect at the origin (0,0), creating four distinct sections in the plane.
03

Name the Sections

Each of the four parts created by the intersection of the axes is called a quadrant. They are usually numbered counterclockwise starting from the top right.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

Key Concepts

These are the key concepts you need to understand to accurately answer the question.

coordinate axes
In coordinate geometry, the coordinate axes consist of two perpendicular lines that intersect at precisely one point. These two lines are the X-axis and the Y-axis. The X-axis runs horizontally, while the Y-axis runs vertically. Together, they set up a framework that allows us to pinpoint the exact location of any point in the plane.
The X-axis and Y-axis divide the coordinate plane into four regions. Anything above the X-axis is positive, and anything below it is negative. Similarly, anything to the right of the Y-axis is positive, while anything to the left is negative. This setup helps in identifying the coordinates of a point easily.
origin point
The origin point is the specific point where the X-axis and Y-axis intersect. This intersection point is designated as \((0,0)\). It's the starting point from which we measure all other points on the plane.
The origin serves as a reference point, making it easier to map out and understand the position of other points. For example, if a point is located at \((3,4)\), it means the point is 3 units to the right of the origin and 4 units above it.
Understanding the origin is crucial because all coordinate measurements are made relative to this point. It essentially acts as the anchor point for the entire coordinate system.
quadrant numbering
The coordinate plane is divided into four distinct sections known as quadrants, generated by the intersection of the X-axis and Y-axis. These quadrants are numbered in a specific order starting from the upper right section:
  • Quadrant I: Located in the upper right, where both X and Y coordinates are positive \((+,+)\).
  • Quadrant II: Located in the upper left, where the X coordinates are negative and Y coordinates are positive \((- ,+)\).
  • Quadrant III: Located in the lower left, where both X and Y coordinates are negative \((-,-)\).
  • Quadrant IV: Located in the lower right, where X coordinates are positive and Y coordinates are negative \((+,-)\).
Knowing the quadrant numbering system helps in quickly identifying the general location of a point. For instance, a point \((-5, 3)\) would be found in Quadrant II, since its X value is negative and Y value is positive.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Describe the cartesian coordinate system.

Explain Abscissa and Ordinate.

What are the representation of the three axes of the three dimensional cartesian coordinate system.
See all solutions

Recommended explanations on Physics Textbooks

Geometrical and Physical Optics

Read Explanation

Magnetism

Read Explanation

Magnetism and Electromagnetic Induction

Read Explanation

Quantum Physics

Read Explanation

Work Energy and Power

Read Explanation

Electromagnetism

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.