Question

Construct a quadrilateral $PQRS$ in which $PQ=3.8$ cm, $QR=3.4$ cm, $RS=4.5$ cm, $SP=5$ cm and $\angle Q={80}^o$. State which of these is the first step.

• A. From $Q$, set $QR=3.4$ cm
• B. With $P$ as center and radius equal to $5$ cm, draw an arc
• C. Join $PS$ and $RS$
• D. Make $\angle PQX={80}^o$

Answer 1

The correct option is D Make $\angle PQX={80}^o$

Step 1 $;$ Draw a line $PQ$ of length $3.8cm$

Step 2 $:$ Make $\angle PQX={80}^{\circ }$

Step 3 $:$ Cut an arc of $3.4cm$ at $R$ on $PX$

Step 4 $:$ With $P$ as centre cut an arc of radius $5cm$

Step 5 $:$ With $R$ as centre cut an arc of radius $4.5cm$ intersecting the previous arc at $S$.

Step 6 $:$ Join $Q$ to $S$ and $R$ to $S$

So according to given options , $D$ is correct.