Draw a quadrilateral ABCD and measure its angles. Record in the table below.
∠A
∠B
∠C
∠D
Sum of all
(interior)
angles
NOTE: The above activity is to be done on GeoGebra software installed on your computer.
(Click on the icon to write) Task 2
Compare your quadrilateral with those of the other groups in your class.
Do they appear the same? (Click here write)
Do you observe and pattern/regularity across all the quadrilaterals? Write observation in the form of a conjecture: (Click here to write)
Task 3
Refer to the pattern observed in Task 2.
Do you think this pattern will hold true for ALL quadrilaterals? (Click here to write)
Why or why not? (Click here to write)
Task 4
Draw a quadrilateral and join any one of its diagonals. Now, without measuring, can you say what the sum of the interior angles of this quadrilateral will be? Write your reasons.
NOTE: The above activity can be done either on dot paper to be provided by the school or on GeoGebra software installed on your computer
(Click here to write)
Extension Task-1
Do you think this property will hold true for all parallelograms? Why or why not? (Click here to write)
[Contributed by administrator on 13. März 2025 12:52:15]
Angle Sum Property of Quadrilaterals
Task 1
Draw a quadrilateral ABCD and measure its angles. Record in the table below.
(interior)
angles
NOTE: The above activity is to be done on GeoGebra software installed on your computer.
(Click on the icon to write)Task 2
Compare your quadrilateral with those of the other groups in your class.
Do they appear the same?
(Click here write)
Do you observe and pattern/regularity across all the quadrilaterals? Write observation in the form of a conjecture:
(Click here to write)
Task 3
Refer to the pattern observed in Task 2.
Do you think this pattern will hold true for ALL quadrilaterals?
(Click here to write)
Why or why not?
(Click here to write)
Task 4
Draw a quadrilateral and join any one of its diagonals. Now, without measuring, can you say what the sum of the interior angles of this quadrilateral will be? Write your reasons.
NOTE: The above activity can be done either on dot paper to be provided by the school or on GeoGebra software installed on your computer
(Click here to write)
Extension Task-1
Do you think this property will hold true for all parallelograms? Why or why not?
(Click here to write)