Chapter 13 of 18
Concept Maps
Introduction to Three Dimensional Geometry — Concept Maps
ICSE · Class 11 · Mathematics
4 concept maps of Introduction to Three Dimensional Geometry for ICSE Class 11 Mathematics, each also written out as a text outline.
59 questions30 flashcards5 concepts
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4 Concept Maps
Three Dimensional Geometry Concept Map
The map in words
- 3D Geometry
- Coordinate System
- Three Axes
- X axis
- Y axis
- Z axis
- Origin Point
- Octants
- Sign Combinations
- Eight Regions
- Three Axes
- Coordinate Planes
- XY Plane
- Equation z equals 0
- YZ Plane
- Equation x equals 0
- XZ Plane
- Equation y equals 0
- XY Plane
- Distance Calculations
- 3D Distance Formula
- Square Root Method
- Pythagorean Extension
- Perpendicular Distances
- From Axes
- From Planes
- 3D Distance Formula
- Section Formula
- Internal Division
- Ratio m to n
- External Division
- Ratio m to n
- Mid Point
- Special Case
- Centroid
- Triangle Center
- Internal Division
- Coordinate System
Three Dimensional Geometry Concept Map
The map in words
- 3D Geometry
- Coordinate System
- Three Axes
- X axis
- Y axis
- Z axis
- Coordinate Planes
- XY plane
- YZ plane
- XZ plane
- Octants
- Eight regions
- Sign combinations
- Three Axes
- Distance Formula
- Point to Point
- 3D Pythagoras
- Square differences
- Add and root
- Point to Axes
- Two coordinates
- Perpendicular distance
- Applications
- Collinearity
- Triangle verification
- Circle equations
- Point to Point
- Section Formula
- Internal Division
- Between points
- m n ratio
- External Division
- Outside segment
- Different formula
- Special Cases
- Midpoint
- Centroid
- Trisection points
- Internal Division
- Coordinate System
Three Dimensional Geometry Concept Map
The map in words
- 3D Geometry
- Coordinate System
- Three Axes
- X-axis
- Y-axis
- Z-axis
- Eight Octants
- Signs Pattern
- Location Method
- Coordinate Planes
- XY-plane z=0
- YZ-plane x=0
- XZ-plane y=0
- Three Axes
- Distance Formula
- Between Two Points
- Square Root Method
- Pythagorean Extension
- Distance to Axes
- Modified Formulas
- Perpendicular Feet
- Applications
- Geometric Proofs
- Real World Problems
- Between Two Points
- Section Formula
- Internal Division
- Addition Method
- Positive Ratio
- External Division
- Subtraction Method
- Negative Ratio
- Special Cases
- Midpoint Formula
- Centroid Formula
- Trisection Points
- Internal Division
- Coordinate System
Three-dimensional coordinate geometry describes points, planes, axes, distances, octants, reflections, and dividing points in space using ordered triples and standard formulas.
The map in words
- Three-dimensional coordinate geometry describes points, planes, axes, distances, octants, reflections, and dividing points in space using ordered triples and standard formulas.
- Three-dimensional rectangular coordinate system
- Coordinates of a point in space
- Points on coordinate planes and axes
- Feet of perpendiculars
- Octants
- Reflection of a point in a coordinate plane
- Distance from coordinate axes
- Distance formula in 3D
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Explore DiagramsFrequently Asked Questions
What are the important topics in Introduction to Three Dimensional Geometry for ICSE Class 11 Mathematics?
Key topics in Introduction to Three Dimensional Geometry include Basic Ideas of 3D Coordinate System, Feet of Perpendiculars and Reflections, Octants and Location of Points, Distance Formula and Distances from Axes. Study these first, then practise questions on each for Class 11 exams.
What do the concept maps for Introduction to Three Dimensional Geometry show?
The 4 maps show how the ideas in Introduction to Three Dimensional Geometry connect: Three Dimensional Geometry Concept Map; Three Dimensional Geometry Concept Map. Each map is also written out as an outline on this page.
How should I revise Introduction to Three Dimensional Geometry for Class 11 exams?
Learn the core ideas first, then work through the 59 practice questions on Introduction to Three Dimensional 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.
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Revision Notes
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Chapter Summary
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Study Plan
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Flashcards
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Syllabus
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