Question

CONSTRUCTION
Construct a quadrilateral PQRS given that PQ = 3.5 cm, QR = 3.1 cm, RS = 4 cm, SP = 4.3 cm and
PR = 5.5 cm.​

Answer 1

Answer : GIVEN : In Parallelogram PQRS,

PQ = 4.5 cm

QR = 3 cm

∠PQR = 60o

PROCEDURE :

Step 1: Draw a rough sketch of the parallelogram and mark the given measurements.

Here , we are given only 3 measurements. But as PQRS is a parallelogram, we can

also write that RS = PQ = 4.5 cm and SP = QR = 3 cm.

(Now we got 5 measurements in total)

Step 2 : Draw ΔPQR using the measures PQ = 4.5 cm , ∠PQR = 60°

And QR = 3 cm.

Step 3 : Locate the 4th vertex ‘S’ using the other 2 measurements PS = 3 cm and RS =

4.5 cm. To locate the fourth vertex ‘S’, draw an arc, with center P and radius 3cm

(PS=3cm).

Draw another arc with center R and radius 4.5cm (RS=4.5cm) which cuts the previous

arc at S.

Step 4 : Join RS and PS to complete the required parallelogram.

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