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Concept Maps

Coordinate Geometry — Concept Maps

Tamil Nadu Board · Class 9 · Mathematics

3 concept maps of Coordinate Geometry for Tamil Nadu Board Class 9 Mathematics, each also written out as a text outline.

45 questions25 flashcards5 formulas & key relations5 concepts

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A labeled diagram showing the x-axis, y-axis, origin, and a point (x, y) in the first quadrant, illustrating the basic setup of a Cartesian coordinate system.
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3 Concept Maps

Coordinate Geometry – Chapter Overview Mind Map

Coordinate Geometry – Chapter Overview Mind Map

The map in words

  • Coordinate Geometry
    • Cartesian System
      • Origin 0 0
      • x-axis Horizontal
      • y-axis Vertical
      • Four Quadrants
        • Q1 Plus Plus
        • Q2 Minus Plus
        • Q3 Minus Minus
        • Q4 Plus Minus
      • Abscissa x coord
      • Ordinate y coord
    • Distance Formula
      • Between two points
        • d = sqrt x2-x1 sq + y2-y1 sq
      • From Origin
        • OP = sqrt x sq + y sq
      • On x-axis
        • d = abs x2-x1
      • On y-axis
        • d = abs y2-y1
      • Applications
        • Collinearity check
        • Triangle type verification
        • Quadrilateral properties
    • Mid-Point Formula
      • M = x1+x2 by 2 and y1+y2 by 2
      • Trisection Points
        • P closer to A
        • Q closer to B
      • Applications
        • Centre of circle
        • Parallelogram diagonals
        • Vertices from midpoints
    • Section Formula
      • P divides AB in m to n
        • x = mx2+nx1 by m+n
        • y = my2+ny1 by m+n
      • Special Case m=n=1
        • Becomes Midpoint Formula
      • Finding ratio
        • Let ratio be k to 1
        • Solve for k
    • Centroid Formula
      • G = x1+x2+x3 by 3
      • G = y1+y2+y3 by 3
      • Divides median 2 to 1 from vertex
      • Euler Line
        • Orthocentre H
        • Centroid G
        • Circumcentre S

Coordinate Geometry – Complete Chapter Overview

Coordinate Geometry – Complete Chapter Overview

The map in words

  • Coordinate Geometry
    • Cartesian System
      • X-axis Horizontal
      • Y-axis Vertical
      • Origin 0 comma 0
      • Quadrants
        • Quadrant I Plus Plus
        • Quadrant II Minus Plus
        • Quadrant III Minus Minus
        • Quadrant IV Plus Minus
      • Abscissa x-coord
      • Ordinate y-coord
    • Distance Formula
      • d = sqrt x2-x1 sq + y2-y1 sq
      • From Origin sqrt x sq + y sq
      • On X-axis mod x2-x1
      • On Y-axis mod y2-y1
      • Applications
        • Collinearity Check
        • Triangle Types
        • Quadrilateral Types
    • Midpoint Formula
      • M = avg of x avg of y
      • Center of Circle
      • Parallelogram Diagonals
      • Divide Segment into 4 parts
    • Section Formula
      • Internal Division m to n
      • P = mx2+nx1 div m+n
      • Midpoint special case m=n=1
      • Trisection Points
        • First Point ratio 1 to 2
        • Second Point ratio 2 to 1
    • Centroid Formula
      • G = avg of 3 x avg of 3 y
      • Divides Median 2 to 1
      • Centre of Gravity
      • Euler Line H G S

Coordinate Geometry - Concept Overview

Coordinate Geometry - Concept Overview

The map in words

  • Coordinate Geometry
    • Coordinate System
      • X-axis horizontal
      • Y-axis vertical
      • Origin at 0,0
      • Four Quadrants
    • Point Properties
      • Abscissa x-coordinate
      • Ordinate y-coordinate
      • Ordered pairs x,y
      • Quadrant determination
    • Distance Concepts
      • Distance Formula
      • Points on axes
      • Pythagorean basis
    • Point Division
      • Midpoint Formula
      • Section Formula
      • Trisection points
      • Ratios m:n
    • Triangle Analysis
      • Centroid location
      • Medians intersect
      • Center of mass
      • Vertices to centroid
    • Verification Methods
      • Collinearity test
      • Shape identification
      • Property verification
      • Distance relationships

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Frequently Asked Questions

What are the important topics in Coordinate Geometry for Tamil Nadu Board Class 9 Mathematics?
Key topics in Coordinate Geometry include The Cartesian Coordinate System, Distance Formula, Mid-Point Formula, Section Formula. Study these first, then practise questions on each for Class 9 exams.
What do the concept maps for Coordinate Geometry show?
The 3 maps show how the ideas in Coordinate Geometry connect: Coordinate Geometry – Chapter Overview Mind Map; Coordinate Geometry – Complete Chapter Overview. Each map is also written out as an outline on this page.
How should I revise Coordinate Geometry for Class 9 exams?
Learn the core ideas first, then work through the 45 practice questions on Coordinate Geometry. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

More resources for Coordinate Geometry

All Tamil Nadu Board Class 9 Mathematics Concept Maps

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