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

Q.

Draw a line $l$ and mark any point $P$ on it. Through this point construct a line perpendicular to $l$ by:

Using a ruler and compass

Q.

Perpendicular lines can be constructed using:

1. only ruler

2. ruler and set squares

3. only set squares

4. only compass

Q.

Draw any line segment. Take any point R not on it. Through R, draw a perpendicular to. (Use ruler and set-square)

Q. Draw a line PQ. Take a point R on it. Draw a line perpendicular to PQ and passing through R.
(Using (i) ruler and a set-square (ii) ruler and compasses)

Q. Draw a line l. Take a point A, not lying on l. Draw a line m such that m ⊥ l and passing through A. (Using (i) ruler and a set-square (ii) ruler and compasses)

Q. Select the third and fourth steps in the construction of a perpendicular to a line from a point outside the line using a ruler and compass.

1. Draw line MN and take any point K outside the line.
2. Placing the compass point at point K and using any convenient distance, draw arcs to cut the line MN at two points A and B.
3. Place the compass point at A and taking a distance greater than half of AB, draw an arc on the lower side of line MN.
4. Place the compass point at B and using the same distance, draw an arc to cut the previous arc at T.

Q. Select the first step in the Construction of a perpendicular to a line from a point outside the line using a ruler and compass.

1. Place the compass point at B and using the same distance, draw an arc to cut the previous arc at T.
2. Placing the compass point at point K and using any convenient distance, draw arcs to cut the line MN at two points A and B.
3. Place the compass point at A and taking a distance greater than half of AB, draw an arc on the lower side of line MN.
4. Draw line MN and take any point K outside the line.

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

1. 2, 4, 1, 3
2. 2, 3, 1, 4
3. 2, 1, 4, 3
4. 2, 1, 3, 4