Question

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

Please solve it by showing figure .​

Answer 1

Step-by-step explanation:

IMAGE

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}∠1=∠3=90o

So \angle1 + \angle3 = 180^{o}∠1+∠3=180o

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}∠1=∠2=90o

So  

\angle1 + \angle2 = 180^{o}∠1+∠2=180o

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.  

Please mark as brainliest answer..............

Answer 2

Answer:

Hey! I saw your sketches, it was very nice dear...... Keep going:)