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GEOMETRIC REASONING​

Activity 1: Angle sum property of quadrilaterals


Task 1


 

Draw a quadrilateral ABCD and measure its angles. Record in the table below.
me_U05A02Q01_en_img01
 



 

Task 2


 

Compare your quadrilateral with those of the other groups in your class.

  1. Do they appear the same?

  2. Do you observe and pattern/regularity across all the quadrilaterals? Write observation in the form of a conjecture:

 
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Task 3


Refer to the pattern observed in Task 2.

  1. Do you think this pattern will hold true for ALL quadrilaterals?

  2. Why or why not?

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Task 4


 

Draw a quadrilateral and join any one of its diagonals. Without measuring, can you say what the sum of the interior angles of this quadrilateral will be? Write your reasons.
 


Extension Task-1


 

Do you think this property will hold true for all parallelograms? Why or why not?

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[Contributed by administrator on 10. Januar 2018 21:42:09]


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