We draw a line segment PQ of length 5 cm. We take an external point A of line segment. Let us draw parallel line through the point A to line segment PQ. [Let us draw three alternative process]

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.