Mathematics

# State whether following statement is true or false:A line perpendicular to one of two parallel lines is perpendicular to the other.

True

##### SOLUTION
Assume $m || n , \, m \, \bot \, I$
Ref. image
We know the parallel lines. make equal iterior angles with a transversal line.
So angle made by n with $I$ is $90^{\circ}$.
So $n \, \bot \ I$.

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TRUE/FALSE Medium Published on 17th 08, 2020
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