Question

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

Answer 1

Step-by-step explanation:

Given: line AB || line CD and line EF intersects them at P and Q respectively.

line EF ⊥ line AB

To prove: line EF ⊥ line CD

Proof: line EF ⊥ line AB [Given] ∴ ∠APR = 90° ….(i)

line AB || line CD and line EF is their transversal. ∴ ∠EPB ≅ ∠PQD …..(ii) [Corresponding angles] ∴ ∠PQD = 90° [From (i) and (ii)]

∴ line EF ⊥ line CD