Question

Ajay is constructing a square PQRS with PQ = 5 cm. The steps of construction are as follows.

(i) Draw a line segment PQ of length 5 cm. Construct 90° at the points P and Q. Extend the rays from P and Q.
(ii) Draw arcs of radius 5 cm keeping P and Q as centre on the extended rays.
(iii) Mark the intersecting points to be S and R.
Which of the following figure represents the completion of the construction of above mentioned steps?

• A.
• B.
• C.
• D.

Answer 1

The correct option is A

Given the steps:

1. Draw a line segment PQ of length 5 cm. Construct 90° at the points P and Q. Extend the rays from P and Q.
2. Draw arcs of radius 5 cm keeping P and Q as centre on the extended rays.
3. Mark the intersecting points to be S and R.

After these steps, we get
This is the required solution.

To complete the quadrilateral, join S and R. We get the required square.