Question

Construct a parallelogram PQRS, where PQ = 5.2 cm, PR = 6 cm and QS = 6.4 cm.
1. Construct a trapezium PQRS in which PQ || SR, PQ = 8 cm, QR = 6 cm, RS = 4 cm and ZQ = 60°.
Hint: Find R using PQ || SR.]
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Answer 1

Step-by-step explanation:

To construct a trapezium :-

We will have to find out angle R by using parallel line properties:

see in the above picture

Step of construction:-

1. Draw a line segment PQ = 8 cm.
2. With a centre Q draw an angle ZQP = 60°.
3. Open a compass at 6 cm and draw an arc on line ZQ name at R.
4. With a centre R draw an angle XRQ = 120°.
5. Open a compass at 4 cm and draw an arc on line XR name at S.
6. Then Join points P to S.