Question

Draw a line segment AB of length 5cm. 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.​

Answer 1

Okay bruh..I am going to give the justification only the construction is easy, you can do it yourself.

Now for the justification:-

Let the perpendicular at A and B be CA and DB resp. Let the perpendicular bisector ne LM intersecting AB at M.

Now, ✓CAM=✓LMA=✓LMB=✓DBM=90°(Perpendicular to line segment AB)

=>All the lines are parallel because the co interior angles ,when added form 180° and the corresponding angles are equal.