Question

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

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

So

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  

So  

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.