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Question

Let be a line and be a point not on . Through , draw a line parallel to . Now join to any point on . Choose any other point on . Through, , draw a line parallel to . Let this meet at . What shape do the two sets of parallel lines enclose?

Medium

Solution

verified
Verified by Toppr

To construct: A pair of parallel lines intersecting other part of parallel lines
Steps of construction:
(a) Draw a line and ,take a point outside of
(b) Take point on line and join
(c) Make equal angle at point such that
(d) Extend line at to get line
(e) Similarly, take a point online , at point , draw angles such that
(f) Extended line at which intersects at online . Draw line
Thus, we get parallelogram

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