Question

Select the correct statement(s).

• A. Two lines which are both perpendicular to a third line are perpendicular to each other.
• B. Two lines which are both perpendicular to a third line are parallel to each other.
• C. When a transversal intersects two lines and the co-interior angles are supplementary, then, the corresponding angles are equal.
• D. When a transversal intersects two lines such that the corresponding angles are equal, the lines are parallel.

Answer 1

Answer: (B), (C), (D)

The correct options are
B

Two lines which are both perpendicular to a third line are parallel to each other.

C

When a transversal intersects two lines and the co-interior angles are supplementary, then, the corresponding angles are equal.

D

When a transversal intersects two lines such that the corresponding angles are equal, the lines are parallel.

Two lines which are both perpendicular to a third line are parallel to each other.
When a transversal intersects two lines and the co-interior angles are supplementary, it implies that the lines are parallel.
When a transversal intersects two lines such that the corresponding angles are equal, the lines are parallel.