Question 3 - Page 104 - Joining Triangles - Chapter 4 Class 8 - Quadrilaterals (Ganita Prakash)

Transcript

Question 3 – Page 104 Take two cardboard cutouts of a scalene triangle with sides 6 cm, 9 cm, and 12 cm. What are the different ways they can be joined to get a quadrilateral? Are you able to identify the different quadrilaterals that are obtained by joining the triangles? Justify your answer whenever you identify a quadrilateral.Let’s join them in different ways We can join them from different sides Both 12 cm joined Both 6 cm joined Both 9 cm joined Way 1 Joining from side 12 cm We notice that quadrilateral has Adjacent sides equal Angles not equal to 90° Both diagonals seem different sizes This is a new type of quadrilateral, it is not a parallelogram It is called Kite Way 2 Joining from side 6 cm We notice that quadrilateral has Opposite sides equal Angles not equal to 90° Both diagonals seem different sizes Thus, the quadrilateral is a Parallelogram Way 3 Joining from side 9 cm We notice that quadrilateral has Opposite sides equal Angles not equal to 90° Both diagonals seem different sizes Thus, the quadrilateral is a Parallelogram