Q.no:1 ]Draw a line segment AB of length 5 cm. Now draw a perpendicular bisector of
line segment AB.
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Here the length of AB = 5cm
DA is perpendicular to AB.
EB is perpendicular to AB.
Two lines perpendicular to same line are parallel to each other.
Also \angle1 =\angle 3 = 90^{o}∠1=∠3=90
o
So \angle1 + \angle3 = 180^{o}∠1+∠3=180
o
If the sum of co interior angles = 180°, the lines are parallel.
Hence AD || BE
Now we construct the perpendicular bisector of AB which intersects AB at C
Again
\angle1= \angle2 = 90^{o}∠1=∠2=90
o
So
\angle1 + \angle2 = 180^{o}∠1+∠2=180
o
We know If the sum of co interior angles = 180°, the lines are parallel.
Hence AD || CF
Now BE ||AD || CF
Hence all the three lines are parallel to each other.
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