Question

which statement is true about perpendicular lines?
the lines are not in the same plane.
the lines intersect at a right angle.
the lines are in the same plane but never intersect.
the lines intersect at an acute angle.

Explanation:

• For the first option: Perpendicular lines (in the context of basic geometry, like in a plane) lie in the same plane. So this is false.
• For the second option: By definition, perpendicular lines intersect at a right angle (90 degrees). This matches the definition.
• For the third option: Lines in the same plane that never intersect are parallel lines, not perpendicular. So this is false.
• For the fourth option: A right angle is not acute (acute angles are less than 90 degrees), so this is false.

Answer:

The lines intersect at a right angle.