Draw a line segment AB of length 5 cm. At Aand B, construct lines perp

1.	Draw a line segment AB of length 5 cm. At Aand 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» 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. Step-by-step EXPLANATION:

Draw a line segment AB of length 5 cm. At Aand 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»

Answer:

Here the LENGTH of AB = 5cm

EB is perpendicular to AB.

Two lines perpendicular to same line are parallel to each other.

Also

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

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.

Step-by-step EXPLANATION: