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Question

Steps for the construction of a perpendicular to a line are given below. Choose the correct order.

1. With Y 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 B.
2. With R as the centre, draw arcs on either side with suitable radius that cuts line at point X and Y.
3. With X as the centre and radius more than half of XY, draw an arc below the line segment XY.
4. Draw a line k, mark a point R outside it.
5. Join points R and B using a scale and a pencil and extend to get line RB.

A
4,2,5,3,1
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B
4,3,1,2,5
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C
4,2,3,1,5
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D
4,2,1,3,5
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Solution

The correct option is C 4,2,3,1,5
Steps for the construction of a perpendicular to a line from a point not on it, are given below:

1. Draw a line k, mark a point 'R' outside it.
2. With R as the centre, draw arcs on either side with suitable radius that cuts line at point X and Y.
3. With X as the centre and radius more than half of XY, draw an arc below the line segment XY.
4. With Y 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 B.
5. Join points R and B using a scale and a pencil and extend to get line RB.
Image result for construction of perpendicular

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