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Construction of Square

Arun is const...

Question

Arun is constructing a rectangle REMO where RE = 4 cm and RM = 5 cm. The steps for the construction is as follows:

(1) Draw a line segment RE of length 4 cm.
(2) Construct 90° at the points R and E. Extend the lines.
(3) Keeping R as the centre and a radius of 5cm, construct an arc cutting on the line generated from the point E.
(4) Mark the intersecting point to be M.
What is the next step?

Measure the length of the side EM for the construction of the side RO.

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Join O and M. The rectangle REMO is hence constructed.

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None of the above.

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Keeping R as the centre, cut an arc of radius 3 cm on the generated from the point R.

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Solution

The correct option is A Measure the length of the side EM for the construction of the side RO.
The steps of construction will be as follows:

(1) Draw a line segment RE of length 4 cm.

(2) Construct 90° at the points R and E. Extend the lines.

(3) Keeping R as the centre and a radius of 5cm, construct an arc cutting on the line generated from the point E.

(4) Mark the intersecting point to be M.

(5) Measure the length of the side EM for the construction of the side RO.

(6) Keeping R as the centre, cut an arc of radius 3 cm on the generated from the point R.

(7)Join O and M. The rectangle REMO is hence constructed.

The rectangle will be as follows.

So, 'measure the length of the side EM for the construction of the side RO' will be the next step.

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Similar questions

Q. 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?

Q. 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.

Rajeev followed the following steps to construct a triangle $P Q R$ such that $P Q = 4 c m,$ $Q R = 5 c m,$ and $R P = 7 c m .$

Step 1: Draw a line segment of $Q R$ of length $5 c m .$

Step 2: Draw an arc of $4 c m$ by taking $Q$ as the centre.

Step 3: Mark the intersecting point as $P .$

Step 4: Join $Q, P$ , and $Q, R$ to get the required triangle $P Q R .$

Which of the following step is missing for constructing this triangle $P Q R ?$

Q. Length of sides of a

△ A B C

A B = 5 c m

A C = 3 c m

and

B C = 4 c m

. If the construction of the triangle formed by these three sides include following steps, then answer the following question:

Which of the following step is not a part of construction?

Steps of construction:

Step 1. Draw a line segment

A B = 5 c m

Step 2. Assuming

A

a centre draw an arc of radius

3 c m

Step 3. Now assuming

B

as centre draw an arc of

4 c m

intersecting the previous arc at

C

Step 4. Now join

A

C

and

B

C

Q. Construct a triangle

A B C

in which

A B = 5 c m

and

B C = 4.6 c m

and

A C = 3.7 c m

Steps for the construction is given in jumbled form.Choose the appropriate sequence for the above
1) With radius as

5 c m

from

C

, cut an arc.
2)These arcs will intersect at point

A

. Join

A B

and

A C

A B C

is the required triangle.
3)Draw a line segment

B C = 4 c m .

4)With radius as

3

cm from

B

, cut the arc.

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