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
Step-by-step explanation:
t And who art thou? Said I to the Soft-falling shower, Which, strange to tell, gave me an Answer, as here translated: I am the Poem of the Earth, said the Voice of the rain What does the poem mean by Who art thou? Who is the poet of the above poem? What was strange in the reply of the rain to the poet? Who is the poem of the Earth?
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.
solution