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Standard VII
Maths
Transversals to Parallel Lines
Question
Two lines are perpendicular to two parallel lines respectively. Show that these two lines are also parallel.
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Solution
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$$\because$$ $$AB$$ and $$CD$$ are perpendicular to $$I$$ and $$m$$
$$\therefore \angle APQ = 90^o$$ and $$\angle CQM = 90^o$$
$$\angle APQ = \angle CQM = 90^o$$
(Corresponding - angles)
$$\therefore$$ Hence $$AB || CD$$
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Two lines are perpendicular to two parallel lines respectively. Show that these two lines are also parallel.
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