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Draw a line segment AB =6.4 cm. On AB take any point P. At P draw a perpendicular PQ to AB. On PQ marke a point at 5cm from P. Draw a line parallel to givenline AB passing through point P.?
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Draw a line segment AB =6.4 cm. On AB take any point P. At P draw a pe...


Construction of a Line Parallel to a Given Line through a Point


  1. Given: Line segment AB = 6.4 cm, point P on AB, and point Q at 5 cm from P on the perpendicular PQ to AB.


  2. Step 1: Construct Perpendicular PQ

    • From point P, draw a perpendicular line PQ to AB.

    • Mark a point Q on PQ such that PQ = 5 cm.




  3. Step 2: Construct a Line Parallel to AB through Point P

    • Set your compass width to more than half the length of AB (i.e., more than 3.2 cm).

    • Place the compass point on point P and draw two arcs to intersect AB at points X and Y.

    • Now, set the compass width to more than the distance between P and Q (i.e., more than 5 cm).

    • Place the compass point on point Q and draw an arc intersecting the previous arc at point Z.

    • Draw a line passing through point Z and P. This line is parallel to AB and passes through point P.





By following these steps, you can construct a line parallel to the given line AB through point P.
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Draw a line segment AB =6.4 cm. On AB take any point P. At P draw a pe...
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Draw a line segment AB =6.4 cm. On AB take any point P. At P draw a perpendicular PQ to AB. On PQ marke a point at 5cm from P. Draw a line parallel to givenline AB passing through point P.?
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