Question

The steps to construct a $△PQR$, where $PQ=4cm,QR=5.2cm$, and $\angle Q={60}^{\circ }$ is given below. Choose the correct order.

1. Draw a line segment that is sufficiently long using a ruler.
2. At $Q$, construct a line segment $QM$, which is sufficiently large such that $\angle MQR={60}^{\circ }$.
3. Locate points $Q$ and $R$ on it such that $QR=5.2$ cm.
4. With $Q$ as the center and a radius of $4$ cm, draw an arc cutting $QM$ at $P$ and join $PR$.

• A. $2,1,3,4$
• B. $1,2,3,4$
• C. $1,3,2,4$
• D. $2,3,1,4$

Answer 1

The correct option is C $1,3,2,4$

The steps to construct a $△PQR$, where $PQ=4cm,QR=5.2cm$, and $\angle Q={60}^{\circ }$ is given below.

1. Draw a line segment that is sufficiently long using a ruler.
3. Locate points $Q$ and $R$ on it such that $QR=5.2$ cm.
2. At $Q$, construct a line segment $QM$, which is sufficiently large such that $\angle MQR={60}^{\circ }$.
4. With $Q$ as the center and a radius of $4$ cm, draw an arc cutting $QM$ at $P$ and join $PR$.