Question

given a ⊥ c and b ⊥ c, what can you say about a and b?
a. a ⊥ b, because if two lines are perpendicular to the same line, then they are perpendicular to each other.
b. a and b form a straight line, because if two lines are perpendicular to the same line, then they form a straight line.
c. a and b are intersecting lines because if two lines are perpendicular to the same line, then they are intersecting lines
d. a || b, because if two lines are perpendicular to the same line, then they are parallel to each other.

Explanation:

In a plane, if two lines are perpendicular to the same line, they are parallel. This is a basic geometric property.

Answer:

D. a || b, because if two lines are perpendicular to the same line, then they are parallel to each other