1.

prove that, if a line is perpendicular to one of the two parallel lines, then it is perpendicular to the other line also​

Answer»

Answer:

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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