Question

Steps for the construction of a parallelogram ABCD with sides AB = 4 cm and AD = 5 cm and angle A =60∘ are given below.

Choose the correct order.

1. Construct a line segment AB = 4 cm and construct a 60∘ 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.

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Solution

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∘ 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.

The given parallelogram ABCD can be drawn as follows:

1. Construct a line segment AB = 4 cm and construct a 60∘ 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.

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