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. ​Please help i will mark you as brainliest and follow you 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

Step-by-step explanation:

The length of AB= 5cm

DA is perpemdicular to AB

EB is perpendicular to AB

Two lines perpendicular to the same lines are always parallel to each other.

Also < 1 = < 3 = 90°

so < 1 + < 3 = 180°

if the sum of interior angle= 180° , the line are parallel.

hence AD parallel BD

now we construct the perpendicular bisector of AB which intersect AB at C

< 1 = < 2 = 90°

so,

< 1 + < 2 = 180°

if the sum of interior angle = 180° , the lines are parallel

hence AD parallel CF

now,

BE parallel AD parallel CF

hence all the three lines are parallel to each other