Question

Steps for the construction of a parallelogram ABCD with sides AB = 4 cm and AD = 5 cm and angle A $={60}^{\circ }$ are given below.

Choose the correct order.

1. Construct a line segment AB = 4 cm and construct a ${60}^{\circ }$ angle at point A.

2. Mark the intersecting point as C. Join C to D and B to C.

3. Draw an arc of radius 4 cm and D as centre to intersect the arc drawn in step 2.

4. Construct a line segment AD = 5 cm on the other arm of the angle. Then draw an arc of radius 5 cm and B as centre.

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

Answer 1

The correct option is A 1,4,3,2

The given parallelogram ABCD can be drawn as follows:

1. Construct a line segment AB = 4 cm and construct a ${60}^{\circ }$ angle at point A.

2. Construct a line segment AD = 5 cm on the other arm of the angle. Then draw an arc of radius 5 cm and B as centre.

3. Draw an arc of radius 4 cm and D as centre to intersect the arc drawn in step 2.

4. Mark the intersecting point as C. Join C to D and B to C.




So, the correct order is 1,4,3,2.