Construction of an Angle Equal in Measure to a Given Angle
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Q. Steps for the construct an angle ∠ABC equal to a given angle ∠PQR without using protractor is given below. Choose the correct order.
1.Draw another ray BC
2.Construct ∠PQR of any measure using pencil and scale.
3.Join BN using scale and pencil. extend it to get BA.
4.With M as the centre and radius equal to (XY), draw an arc to cut the arc drawn in previous step.
5.With Q as centre, draw an arc with any suitable radius to cut the arms QR and QP.Name the point of intersection of arc and arms as X and Y.
6.With B as the centre, draw an arc with radius QX.Name the point of intersection of arc and BC as point M.
1.Draw another ray BC
2.Construct ∠PQR of any measure using pencil and scale.
3.Join BN using scale and pencil. extend it to get BA.
4.With M as the centre and radius equal to (XY), draw an arc to cut the arc drawn in previous step.
5.With Q as centre, draw an arc with any suitable radius to cut the arms QR and QP.Name the point of intersection of arc and arms as X and Y.
6.With B as the centre, draw an arc with radius QX.Name the point of intersection of arc and BC as point M.
- 2, 5, 6, 1, 4, 3
- 2, 1, 4, 3, 6, 5
- 2, 6, 1, 4, 3, 5
- 2, 5, 1, 6, 4, 3
Q. In the process of constructing ∠PQR equal in measure to a given ∠ABC, which image represents the second step of construction.
Q.
Draw an angle of measure 450 and bisect it.
Q. Steps for the construction of bisector of ∠AOB=50∘ is given below.Choose the correct order
1.With Q as the centre and with the same radius as in step - 3, draw another arc, which cuts the previous arc. Name the point of intersection as R.
2.Taking ‘O’ as the centre and with a suitable radius draw an arc which cuts arms OA and OB. Name the points of intersection on side OA and OB as ‘P’ and ‘Q’ respectively.
3.Construct ∠AOB=50∘ using a pencil, a scale and a protractor
4.Join points O and R using a scale and a pencil. Extend it to get the ray OC.
5.With P as the centre and radius more than half of PQ, draw an arc in APQB
1.With Q as the centre and with the same radius as in step - 3, draw another arc, which cuts the previous arc. Name the point of intersection as R.
2.Taking ‘O’ as the centre and with a suitable radius draw an arc which cuts arms OA and OB. Name the points of intersection on side OA and OB as ‘P’ and ‘Q’ respectively.
3.Construct ∠AOB=50∘ using a pencil, a scale and a protractor
4.Join points O and R using a scale and a pencil. Extend it to get the ray OC.
5.With P as the centre and radius more than half of PQ, draw an arc in APQB
- 1, 2, 3, 4, 5
- 3, 2, 1, 5, 4
- 1, 2, 4, 3, 5
- 3, 2, 5, 1, 4
Q.
Draw a line segment AB. At A, draw an arc of length 3cm using compass such that it intersects AB at O. With the same spread of compass, put the compass pointer at O and make an arc that intersects the previous arc at P. With the same spread again, put the compass pointer at P and draw an arc that intersects the first arc at Q. Join A and Q. Using the protractor, measure ∠QAB. What is the value of ∠QAB?
90º
30º
120º
60º
Q. Construct an angle of 105⁰ using a compass. (3 Marks)
