Question

If line, AB is parallel to CD and CD is parallel to EF then AB is to EF.

• A. Perpendicular
• B. Parallel
• C. Transversal

Answer 1

The correct option is B Parallel

Given, AB and EF, which are parallel to a common line CD. Let K be the transversal passing through the three lines.

If a transversal intersects two parallel lines then the corresponding angles are equal.

as AB || CD, $\angle$1 = $\angle$2 (corresponding angles)

as CD || EF, $\angle$2 = $\angle$3 (corresponding angles)

Hence, $\angle$1 = $\angle$3

Therefore, AB is parallel to EF.