Q. 14.5( 17 Votes )

# We draw a line se

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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Pritam drew a quaWest Bengal Mathematics

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