Based on CHAPTERs 8. Comparing Quantities 13. Direct and Inverse Proportions 3. Understanding Quadrilaterals 4. Practical Geometry
Activity – Understanding Quadrilaterals
Objective:
To verify that the sum of the interior angles of a quadrilateral is 360 ° by paper cutting and pasting.
Materials Requried:
White sheets of paper, colour pencils, a pair of scissors, gluestick, geometrybox, etc.
Procedure:
1. On a white sheet of paper, draw a quadrilateral ABCD. Colour its angles as shown.
2. Using a pair of scissors, cut out the angular regions as shown below.
3. Mark a point 0 on a sheet of paper. Paste the four angular cut-outs so that the vertex of each falls at O, as shown in the figure.
Observations:
In figure, we see that the angular cut-outs neither overlap nor leave any gap between them, i.e., the angles together form a complete angle.
∠A + ∠ B + ∠ C + ∠ D = a complete angle = 360 °
or sum of the angles of a quadrilateral is 360 °
Conclusion:
From the above activity, it is verified that the sum of the interior angles of a quadrilateral is 360 °
Do Yourself:
On a white sheet of paper, draw three different quadrilaterals.
In each case, verify the angle sum property of a quadrilateral by paper cutting and pasting.
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