Mathematics

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


Answer & Solution

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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