Question

Write the following proof

Given: a is parallel to b , a is perpendicular to c, and b is perpendicular to d.

Prove: c is parallel to d

Answer 1

Given a is parallel to b & a is perpendicular to c --> c is perpendicular to b
Given also that b is perpendicular to d --> c//d (Proven)

You can also represent this diagrammatically.

Answer 2

Thanks, but I need to use postulates and theorems to prove that c is parallel to d