Question

Draw a line segment AB of length 5 cm. At A
and B, construct lines perpendicular to AB.
Also, draw the perpendicular bisector of AB.
Are these three lines parallel to each other?
Justify your answer.



Help me please!!​

Answer 1

Answer:

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}

So \angle1 + \angle3 = 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}

So

angle1 + \angle2 = 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.

Answer 2

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