Draw a line segment $PQ=6.8cm$ . Draw a perpendicular to it from a point A outside PQ by using ruler and compass.

Open in App

Solution

Given : A line segment $PQ=6.8cm$ and a point A outside PQ.
Required : To draw a perpendicular to PQ from the point A.
Steps of construction
$1$ . Draw a line segment $PQ=6.8cm$ , and A be any point outside PQ.
$2$ . With A as centre and any suitable radius, draw an arc to the line segment PQ at points C and D.
$3$ . With C and D as centres, draw two arcs of equal radius $(> \frac{1}{2} C D)$ cutting each other at B on the other side of PQ.
$4$ . Draw a line through A and B to intersect the line segment PQ at E, then the line segment AE, is the required perpendicular from the point A to the line segment PQ.

Suggest Corrections

Similar questions

Q. Draw line AB. Take point M anywhere outside the line. Using a compass and ruler, draw a line MN perpendicular to line AB.

Question 75

Draw a line segment of length 7 cm. Draw its perpendicular bisector, using ruler and compass.

Draw any line segment $\bar{P Q}$ . Mark any point $M$ on it . Through $M$ , draw perpendicular to $\bar{P Q}$ (use ruler and compasses).

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 segment

P Q = 6.5

cm. Take any point

M

outside it. Using ruler and compasses, draw a line through

M

parallel to

P Q

Join BYJU'S Learning Program

Draw a line segment PQ=6.8cm. Draw a perpendicular to it from a point A outside PQ by using ruler and compass.

Draw a line segment $PQ=6.8cm$ . Draw a perpendicular to it from a point A outside PQ by using ruler and compass.