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Construction of an Angle of 60 degrees

Steps for the...

Question

Steps for the construction of a 90° angle.

Choose the correct order.

1: Draw a ray OA.

2: With C and D as centres and radius more than half of CD, draw two arcs cutting each other at E. Join OE.

3: With O as centre and any convenient radius, draw an arc cutting OA at B.

4: With B as centre and the same radius, draw an cutting the first arc at C.

5: With C as centre and the same radius, draw an arc cutting again the first arc at D.

A

1, 2, 3, 4, 5

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B

1, 3, 2, 4, 5

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C

1, 3, 4, 5, 2

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D

1, 3, 4, 2, 5

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Solution

The correct option is C 1, 3, 4, 5, 2
Steps for the construction of a 90° angle:

1: Draw a ray OA.

3: With O as centre and any convenient radius, draw an arc cutting OA at B.

4: With B as centre and the same radius, draw an cutting the first arc at C.

5: With C as centre and the same radius, draw an arc cutting again the first arc at D.

2: With C and D as centres and radius more than half of CD, draw two arcs cutting each other at E. Join OE.

Then, ∠EOA = 90°

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Similar questions

Steps for the construction of a 30° angle.

Choose the correct order.

1: Draw a ray OA.

2: With B as centre and the same radius as before, draw another arc to cut the previous arc at C.

3: Draw the bisector OE of ∠AOD.

4: Join OC and produce it to D.

5: With O as centre and any suitable radius draw an arc above OA cutting it at a point B.

Q. Study the steps of construction given.
Step 1: Draw a ray OA.
Step 2: With O as centre and any convenient radius draw an arc MN to cut OA at M.
Step 3: With M as centre and the same radius draw an arc to cut MN at P.
Step 4: With P as centre and the same radius, draw an arc to cut MN at Q.
Step 5: Draw OQ and produce it to D. An angle AOD is constructed.
What is the measure of ∠AOD?

Q. Which of the following step(s) is/are incorrect while constructing an angle of

120^{o}

1

: Draw a ray AB.
Step-

2

: With A as centre, draw an arc of any convenient radius which cuts AB at C.
Step-

3

: With C as centre and same radius, draw an arc which cuts the arc drawn in Step-

2

at point D.
Step-

4

: With D as centre and same radius, draw an arc which cuts the arc drawn in Step-

3

at point E.
Step-

5

: Join AE and produce it to point F. We get

∠

FAB whose measure is

120^{o}

.

Q. Steps for the construction of a parallelogram ABCD in which AB = 6 cm, BC = 4.5 cm and diagonal AC = 6.8 cm is given below.

Choose the correct order.

1. Draw AB = 6 cm.

2. With A as centre and radius 6.8 cm, draw an arc.

3. With A as centre and radius 4.5 cm, draw an arc.

4. With B as center and radius 4.5 cm draw another arc, cutting the previous arc at C. Join BC and AC.

5. With C as centre and radius 6 cm draw another arc, cutting the previously drawn arc at D. Join DA and DC.

Q. Steps for the construction of

∠ A O D = 60^{\circ}

are given below. Choose the correct order.

1. With O as the centre and with any suitable radius draw an arc using compasses, which cuts the ray OA . Name the point of intersection as B.
2. Draw a ray OA using a scale and a pencil.
3. Join OC using a scale and a pencil. Extend it to get ray OD.
4. With B as the centre and with the same radius as in step2, draw an arc cutting the previous arc. Name the point of intersection as C.

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