IP1U11 HOT Q3

In the figure below, \(AB//PQ\), \(AB//RS\), \(CDE\) is a straight line that intersects \(PQ\), \(AB\) and \(RS\) at \(C\), \(D\) and \(E\), respectively. Using this figure, show that \(PQ//RS\), i.e., if two lines are parallel to a third line, then they are parallel to each other

In the figure below, \(AB\bot PQ\), where \(E\) is the foot of perpendicular; \(CD\bot PQ\), where \(F\) is the foot of perpendicular. Use this figure, show that \(AB//CD\), i.e., if two lines are perpendicular to a third line, then they are parallel to each other.