Question

Draw a pair of parallel lines at a distance of 5 cm from each other using rular and compass

Answer 1

Step-by-step explanation:

Steps of construction:-

1.) Draw a line of any length using ruler, say AB.

2.) construct two right angles any where on line using a pair of compass, having some gap in between, say on point C and D.

3.) extend those lines and cut an arec of 5 cm. on them. Name those points, say X AND Y.

4.) join X to Y.

XY is a line parallel to line AB having a distance of 5 cm.

Answer 2

In the picture we can see the construction of a pair of parallel lines at a distance of 5cm from each other using ruler and compass.

Given that,

We have to construct a pair of parallel lines at a distance of 5cm from each other using ruler and compass.

We know that,

Step 1: Draw a line PQ with the help of scale and pencil.

Step 2: Take any two points A and B on the line.

Step 3: Construct ∠PBF = 90° and  ∠QAE = 90°

Step 4: With A as a center and at radius 5 cm cut AE at C.

Step 5: With B as a center and at radius 5cm cut BF at D.

Step 6: Join CD and produce it on either side to get the required line parallel to AB and at a distance 5cm from it.

Therefore, In the picture we can see the construction.

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