Answer :

Method 1:


Steps of construction:


1. We draw a line segment PQ of length 5cm.


2. We take an external point A of line segment.



3. Draw an arc from A that intersects PQ at two different points B and C.



4. Draw perpendicular bisector of BC. It passes through A.



5. Draw perpendicular of this line through A.



6. This line is parallel to PQ.


Method 2:


Steps of Construction:


1. We draw a line segment PQ of length 5cm.


2. We take an external point A of line segment.



3. Draw a bigger arc from A cutting PQ at a point.


4. Mark it as B.



5. With the same radius and B as center, draw another arc on PQ as C.



6.From C, with the same radius draw another arc cutting the first arc at D.



7. Join D to A and extend the line.



8. This line is parallel to PQ.


Method 3:


Steps of Construction:


1. We draw a line segment PQ of length 5cm.


2. We take an external point A of line segment.



3. We draw a transverse line passing through A and cutting PQ at B.



4. We draw the angle at A equal to angle at B.





5. The corresponding drawn line is parallel to PQ.


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