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Standard VI

Mathematics

Construction of 30, 60, 90 and 120 Degree Angles

Which of the ...

Question

Which of the following steps is INCORRECT while constructing an angle of $60^{o}$ ?
Step-1 : Draw a line EF and mark a point O on it.
Step-2 : Place the pointer of the compass at O and draw an arc of convenient radius which cuts the line EF at point P.
Step-3 : With the pointer at A (as centre) now draw an arc that passes through O.
Step-4 : Let the two arcs intersect at O. Join OQ. We get $∠$ QOP whose measure is $60^{o}$

Only Step-1

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Both Step-2 and Step-3

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Only Step-3

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Both Step-3 and Step-4

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Solution

The correct option is B Only Step-3
Step-3 is incorrect it should be written as: with the pointer at P (as centre) now draw an arc that passes through O.

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Similar questions

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

120^{o}

?
Step-

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. Arrange the steps marked (i) to (v) in CORRECT order while constructing a line parallel to a given line, through a point not on the line using ruler and compasses only.
Step 1. Take a line 'I' and a point 'A' outside 'l'.
Step 2. Take any point B on I and join B to A.
(i) Now with A as centre and the same radius as in previous step, draw an arc EF cutting AB at G.
(ii) With the same opening as in previous step and with G as centre, draw an arc cutting the arc EF at H.
(iii) With B as centre and a convenient radius, draw an arc cutting I at C and BA at D.
(iv) Now, join AH to draw a line 'm'.

If I do the following constructions step by step, what will be the angles constructed (in degrees)?

Step 1. Draw an arc on the line XY with an arbitrary point O on line XY, as centre and radius r. With the same radius and point of intersection of arc and line, ‘A’, as centre draw another arc on the first arc at point B. So, $∠ A O B$ is __.

Follow the following steps of constructions:

1) Draw a line segment OA.

2) With O as center and a short radius, draw an arc that cuts OA at B.

3) With B as center and the same radius (as in step 2), draw an arc that cuts the first arc at C.

4) With C as center and the same radius (as in step 2), draw an arc that cuts the first arc at D.

5) With C and D as centers, draw two arcs with equal radii such that they intersect at E.

6) Join O and E. What’s the measure of $∠ A O E$ ?

Follow the following steps of constructions:
(a) Draw a line l and mention a point O on it.
(b) With O as center and a short radius, draw an arc that cuts line l at A.
(c) With A as center and the same radius (as in step 2), draw an arc that cuts the first arc at B.
(d) Join O and B. Extend OB to get a ray.
What is the measure of ∠AOB (in degrees)?

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The correct option is B Only Step-3Step-3 is incorrect it should be written as: with the pointer at P (as centre) now draw an arc that passes through O.

The correct option is B Only Step-3
Step-3 is incorrect it should be written as: with the pointer at P (as centre) now draw an arc that passes through O.