Construction of Perpendicular to a Line through a Point Not on the Line

Q.

Draw a line l and point X on it. Through X, draw a line segment perpendicular to l.

Now draw a perpendicular to at Y. (use ruler and compasses)

Q.

Construct a line segment AB of length 5.6 cm using a compass and ruler. Write the steps. [3 MARKS]

Q. 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.

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

Q. How many arcs are to be drawn to construct a perpendicular from a point on a line segment?

1. 5

Q. Select the construction tool that is not used while constructing a perpendicular to a line from a point outside the line.

1. None of the above
2. Divider
3. Ruler
4. Compass

Q. How many arcs are constructed in total to construct a perpendicular to a line from a point outside the line ?

1. one
2. three
3. two
4. four

Q. How many arcs are to be drawn to construct a perpendicular from a point on a line segment?

1. 5

Q. The tools required to construct a perpendicular to a line from a point outside the line is/are?

1. compass
2. protractor
3. divider
4. ruler

Q. Select the method/methods used for constructing a perpendicular to a line from a point outside the line.

1. using a compass and ruler
2. using a set square
3. all the above
4. by folding a paper

Q. In construction of perpendicular to a line from a point that is outside the line , how many arcs are drawn from the outside point onto the line.

1. one
2. three
3. four
4. two

Q.

Which of the following tools are not sufficient to draw perpendicular lines? [Assume that you have a well sharpened pencil!]

1. Protractor and Ruler

2. Set square

3. Ruler

4. Compass and Ruler