Question

Draw a line segment PQ of length $ 12 $ cm. Mark a point O outside this segment. Draw a line through O perpendicular to PQ.

Answer 1

Hint: Perpendicular from a given point on a line makes an angle of $ 90{}^\circ $ with the line. The base of angle of $ 90{}^\circ $ is the line on which the perpendicular is drawn. Line segment has a fixed distance between two points and that can be very small as well as very large.

Complete step-by-step answer:

The figure above shows the perpendicular OR, from point O on line PQ.

At first, line PQ of length $ 12 $ cm is drawn. The line is drawn using a ruler and marking two points P and Q on either side. The distance between two points on a straight line is taken to be $ 12 $ cm.

As directed, point O is marked above PQ which is outside PQ.

Taking O as the centre, an arc of particular and required radius is drawn at point P and another arc at point Q. After that, arcs are drawn from points P and Q respectively on opposite sides of point O. The point of intersection of these arcs is named point R.

Finally, points O and R are joined to get the required line, OR which is perpendicular to PQ. The perpendicular OR is drawn by connecting points on either side of line segment PQ.

The perpendicular OR makes an angle of $ 90{}^\circ $ with line PQ.

Note: The perpendicular to given line indicates that both the lines are perpendicular to each other as the angle made at their intersection is equal to $ 90{}^\circ $ .Make sure to keep your pencils sharp at all times otherwise it will cause errors and the answer won’t be precise.