Theorems and problems on parallelograms

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Karnataka state textbook :Chapter 9

Additional Information

  1. These videos provide proofs of theorems related to triangle and parallelogram on the same base and between same parallels

2. Notes and solved problems (in Kannada) by Yakub Koyyur, GHS Nada, Belthangady Taluk, D.K.

ಸಮಾಂತರ ಚತುರ್ಭುಜಗಳು ಮತ್ತು ತ್ರಿಭುಜದ ವಿಸ್ತೀರ್ಣಗಳು

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NCERT mathematics- Chapter 9: Areas of parallelograms and triangles

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  • Estimated Time
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  • Website interactives/ links/ Geogebra Applets
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Concept #

Learning objectives

Notes for teachers

These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.

Activity No #

  • Estimated Time
  • Materials/ Resources needed
  • Prerequisites/Instructions, if any
  • Multimedia resources
  • Website interactives/ links/ Geogebra Applets
  • Process (How to do the activity)
  • Developmental Questions (What discussion questions)
  • Evaluation (Questions for assessment of the child)
  • Question Corner


Activity No #

  • Estimated Time
  • Materials/ Resources needed
  • Prerequisites/Instructions, if any
  • Multimedia resources
  • Website interactives/ links/ Geogebra Applets
  • Process (How to do the activity)
  • Developmental Questions (What discussion questions)
  • Evaluation (Questions for assessment of the child)
  • Question Corner

Hints for difficult problems

Here is a micro analysis of solution for a problem [geometry_problemsolving.odt here]

Sln Explanation Analysis
1 Parall.png Drawing ABCD.Cyclic orderD above
2 AB=CD=4X Propertiesof parallelogram
3 AD=BC=2X+1 Propertiesof parallelogram
4 AD=BC=2X+1 Propertiesof parallelogram 5 AD=BC=2X+1 Propertiesof parallelogram
6 AD=BC=2X+1 Propertiesof parallelogram
7 AD=BC=2X+1 Propertiesof parallelogram
8 AD=BC=2X+1 Propertiesof parallelogram

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