prove that, if a line is perpendicular to one of the two parallel lines, then it is perpendicular to the other line also
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The perpendicular transversal theorem states that if there are two parallel lines in the same plane and there is a line perpendicular to one of them, then it is also perpendicular to the other one.
Step-by-step explanation:
Let us assume that AB∥CD
PQ is perpendicular to AB
We have to prove that PQ is perpendicular to CD
∠PQB=90
o
(given)
∴∠QRD=∠PQB=90
o
Corresponding angles of parallel lines
∴PQ is perpendicular to CD
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