Let m be a line and A be a point not on m. Through A, draw a line k parallel
to m. Now join A to any point B on m. Choose any other point C on k.
Through C, draw a line parallel to AB. Let this meet m at D. What shape do
the two sets of parallel lines enclose?
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Answer:
To construct: A pair of parallel lines intersecting other part of parallel lines
Steps of construction:
(a) Draw a line l and ,take a point P outside of l
(b) Take point Q on line l and join PQ
(c) Make equal angle at point P such that ∠Q=∠P
(d) Extend line at P to get line m
(e) Similarly, take a point R online m, at point R, draw angles such that ∠P=∠R
(f) Extended line at R which intersects at S online l. Draw line RS
Thus, we get parallelogram PQRS.
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