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Construction of Perpendicular from a Point Outside the Line Using a Compass

Steps for the...

Question

Steps for the construction of perpendicular bisector PQ to a line segment AB of given length is given below. Choose the correct order.
1.With B as the centre and the same radius as in previous step, draw two arcs to intersect the arcs drawn in previous step. Name the point of intersection of the arcs as P and Q
2.Draw a line segment AB of given length using a scale.
3.Join P and Q.
4.With A as the centre and radius more than half of AB, draw two arcs (using compases) above & below AB

A

2,4,1,3

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B

2,3,1,4

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C

2,1,4,3

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D

2,1,3,4

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Solution

The correct option is A 2,4,1,3
Steps for the construction of perpendicular bisector PQ to a line segment AB of given length is given below.

1.Draw a line segment AB of given length using a scale.
2.With A as the centre and radius more than half of AB, draw two arcs (using compases) above & below AB
3.With B as the centre and the same radius as in previous step, draw two arcs to intersect the arcs drawn in previous step. Name the point of intersection of the arcs as P and Q
4.Join P and Q

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Similar questions

Q. Steps for the construction of perpendicular bisector PQ to a line segment AB of given length is given below. Choose the correct order.
1.With B as the centre and the same radius as in previous step, draw two arcs to intersect the arcs drawn in previous step. Name the point of intersection of the arcs as P and Q
2.Draw a line segment AB of given length using a scale.
3.Join P and Q.
4.With A as the centre and radius more than half of AB, draw two arcs (using compases) above & below AB

Q. Steps for the construction of perpendicular at a given point P in a line segment AB is given below. Choose the correct order

1. With radius more than half of XY and X as centre draw an arc above AB
2. Using a scale and a pencil, join PQ. Now PQ is perpendicular to AB.
3. Draw a straight line AB and mark point P on it
4. With P as the centre, draw two arcs with a suitable radius which cut AB at X and Y such that P lies in between X and Y
5. Draw another arc that cuts the previous arc with centre at Y and with same radius as in previous step. Name the point of intersection as Q.

Q. Steps for the construction of a perpendicular to AB from an outside point P is given below. Choose the correct order.
1.With radius more than half of XY draw an arc above AB , X as centre
2.Using a scale, join PQ. Mark the intersection point of PQ and AB as ‘O’. Now PQ is perpendicular to AB
3.With a suitable radius and P as the centre draw an arc which cuts AB at X and Y
4.Draw a straight line AB and mark a point P lying outside AB
5.With Y as centre draw another arc, with same radius chosen in previous step, that cuts the previous arc. Name the point of intersection as Q

Q. Steps for the construction of

90^{\circ}

is given below. Choose the correct order.

1.With P as the centre and radius more than half of PQ, draw an arc above the line segment AB
2.With O as the centre, draw semicircle with suitable radius that cuts line segment AB at point P and Q.
3.With Q as the centre and with same radius as in previous step, draw another arc, which cuts the previous arc. Name the point of intersection as C
4.Draw a line segment AB, mark a point 'O' on it.
5.Join points O and C using a scale and a pencil and extend to get ray OC

Q. Steps for the construction of a perpendicular to AB from an outside point P is given below. Choose the correct order.
1.With radius more than half of XY draw an arc above AB , X as centre
2.Using a scale, join PQ. Mark the intersection point of PQ and AB as ‘O’. Now PQ is perpendicular to AB
3.With a suitable radius and P as the centre draw an arc which cuts AB at X and Y
4.Draw a straight line AB and mark a point P lying outside AB
5.With Y as centre draw another arc, with same radius chosen in previous step, that cuts the previous arc. Name the point of intersection as Q

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