Cartesian System - Rectangular Coordinates

Introduction

• Introduction of the first chapter: Cartesian System and Rectangular Coordinates
• Useful information for KUK students: Complete syllabus, exam pattern, and recommended books

Cartesian System

• Discussion on Rectangular Coordinates
• Main Topics:
  • Rectangular axis
  • Origin
  • Coordinate of a point

Cartesian Plane

• Basic Information
  • x-axis (horizontal)
  • y-axis (vertical)
  • Origin: Center point (0,0)
  • Quadrants:
    • First Quadrant: Both coordinates positive
    • Second Quadrant: x negative, y positive
    • Third Quadrant: Both coordinates negative
    • Fourth Quadrant: x positive, y negative

Points and Quadrants

• How to identify points in quadrants
• Examples:
  • (3,4) --> First Quadrant
  • (-7,4) --> Second Quadrant
  • (-7,-3) --> Third Quadrant
  • (3,-2) --> Fourth Quadrant

Coordinates

• How to determine the coordinates of a point
• Example process: How to find the coordinates of Point P

Distance Formula

• Definition: How to measure the distance between two points
• Formula: [ \text{Distance} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} ]
• Example calculation:
  • How to find the distance between Points P and Q
  • Use of formula on example points

Practice Questions

• Practice exercise questions
• Solution of questions related to coordinates and quadrants

Summary

• Basics of the Cartesian system
• How to find the distance between points
• Discussion on questions related to circumcenter and squares in the next class

End Note:

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