Math, asked by iloveroblox869, 15 days ago

Draw a line segment AB of length 6.5 cm. At each end of the line segment AB, draw a line perpendicular to the line AB. Are these two lines parallel?

Answers

Answered by agarwalgurubhai
0

Step-by-step explanation:

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Answered by devisunaina47458
0

Step-by-step explanation:

Step I: Take a convenient radius with A as centre and draw an arc intersecting the line at points W and X.

Step II: With W and X as centres and radius greater than AW, construct two arcs intersecting each other at M.

Step III: Join AM and extend it in both directions to P and Q.

Step IV: Take a convenient radius with B as centre and draw an arc intersecting the line at points Y and Z.

Step V: With Y and Z as centres and a radius greater than YB, construct two arcs intersecting each other at N.

Step VI: Join BN and extend it in both directions to S and R.

Let the lines perpendicular at A and B be PQ and RS, respectively.

Since, ∠QAB=90

°

and ∠ABR=90

°

Therefore, ∠QAB=∠ABR

When two parallel lines are intersected by a third line, the two alternate interior angles are equal.

Since, ∠QAB=∠ABR

Therefore, PQ and RS are parallel.

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