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
?
B
Justify your answer.
​

Answer 1

Answer:

Step-by-step explanation:

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.