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Introduction to Geometric Constructions

To construct ...

Question

To construct an angle of $60^{\circ}$ with a compass and ruler,

Steps of construction are:
Step1: Draw a ray AB
Step 2 will be

A

Taking D as center and any radius, draw an arc intersecting the previous arc at E

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B

Using protractor, draw an angle $60^{\circ}$

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C

Taking D as center and same radius, draw an arc intersecting the previous arc at E

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D

Taking A as centre and any convenient radius, draw an arc intersecting ray AB at a point D.

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Solution

The correct option is D
Taking A as centre and any convenient radius, draw an arc intersecting ray AB at a point D.

In the construction of $60^{\circ}$ , the first step is to construct a ray AB and the second step is taking A as centre and any convenient radius, draw an arc intersecting ray AB at a point D.

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Similar questions

To construct an angle of $60^{\circ}$ using a compass.

Steps of construction are:
Step1: Draw a ray AB
Step 2: ___

Step 3: With A as the centre and same radius draw an arc intersecting the previous arc at E.

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. What is the correct sequence for the following options of steps to construct a

60^{\circ}

angle.

A. Draw an arc of any radius r intersecting the ray, centered at the starting point of the ray.

B. Pick a point and draw a straight ray.

C. Using the same radius, draw another arc intersecting the first arc, centered at the intersection point of the first arc with the ray.

D. Draw a line through the starting point of the ray and intersection point of the two arcs.

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.

Q. 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.

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