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Byju's Answer
Standard XII
Mathematics
Condition for Two Lines to Be Parallel
Which of the ...
Question

Which of the following step(s) is/are incorrect while constructing an angle of 120o?
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 120o.

A
Step 3 only
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B
Step 4 only
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C
Step 2 only
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D
Both Step 2 and Step 3
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Solution

The correct option is B Step 4 only
The incorrect step is Step 4 only.


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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. 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.
Q. Steps for the construction of ∠AOB=120∘ is given below. Choose the correct order.
1.With Q as the centre and with same radius as in step- 3, draw an arc so as to cut the arc drawn in step - 2. Name the point of intersection as R.
2.With P as the centre, draw an arc with the same radius as in step-2 intersecting the previous arc. Name the point of intersection as R.
3.Draw a ray OB
4.Join points O and R using a scale and a pencil. Extend it to get ray OA
5.With O as the centre, draw an arc with suitable radius that cuts OB. Name the point of intersection as P
Q. Which of the following steps is INCORRECT while constructing an angle of 60o?
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 60o
Q.

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 ∠AOE ?


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