Question

Which two statements are both true?
(Full question above)

Answer 1

TU ⊥ MN and MN ║ PQ

Explanation:

TU ⊥ MN

As the angle that is created where TU and MN intersect is a 90° angle, these two lines must be perpendicular to each other.

MN ║ PQ

As both MN and PQ intersect the line TU, we can use this to prove that they are parallel.

Both MN and PQ create a 90° angle where they intersect with TU. This means that MN is ⊥to TU and PQ is ⊥ to TU.

As both MN and PQ are perpendicular to TU, they must be parallel.