Question

Identify all sets of parallel and perpendicular lines in this image.

Answer 1

All four options are correct.

Explanation:

Option 1

m∠DPQ = m∠FQB = 90° [Corresponding angles theorem]

By the converse property of corresponding angles theorem,

CD║EF

Since, angle between AB and CD is 90°,

AB⊥CD

True

Option 2

Since, angles between AB and EF is 90°, both will be perpendicular.

AB ⊥ EF

AB ⊥ CD

True

Option 3

CD║EF and AB ⊥ EF

True

Option 4

CD║EF, AB ⊥ CD and AB ⊥ EF

True

Therefore, all options are correct.