Activity 1: Angle sum property of quadrilaterals

Task 1

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

 

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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