Perpendicular Line at a Given Point

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.

1. 3, 4, 1, 2, 5
2. 3, 4, 1, 5, 2
3. 3, 5, 1, 4, 2
4. 3, 4, 2, 5, 1

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

1. 4, 3, 1, 2, 5
2. 4, 2, 5, 3, 1
3. 4, 2, , 3, 1, 5
4. 4, 2, 1, 3, 5

Q.

Let l be a line and P be a point not on l. Through P, draw a line m parallel to l. Now join P to any point Q on l. Choose any other point R on m. Through R, draw a line parallel to PQ. Let this meet l at S. What shape do the two sets of parallel lines enclose?

Q. Draw a line AB and take a point P outside it. Draw a line CD parallel to AB and passing through the point P.

Q.

Draw a line l. Draw a perpendicular to l at any point on l. On this perpendicular choose a point X, 4 cm away from l. Through X, draw a line m parallel to l.

Q. Draw any rectangle WZYZ.

Q.

Draw a line AB and take a point P outside it. Draw a line CD parallel to AB and passing through the point P.