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?
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.
Do they appear the same?
Do you observe and pattern/regularity across all the quadrilaterals? Write observation in the form of a conjecture:
Task 3
Refer to the pattern observed in Task 2.
Do you think this pattern will hold true for ALL quadrilaterals?
Why or why not?
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?