Question

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

Explanation:

To determine the true statement about perpendicular lines, we analyze each option:

1. "The lines intersect at a right angle." - By definition, perpendicular lines are two lines that intersect at a 90 - degree (right) angle. This matches the definition.
2. "The lines intersect at an acute angle." - Acute angles are less than 90 degrees, while perpendicular lines intersect at 90 degrees, so this is false.
3. "The lines are in the same plane but never intersect." - Lines that are in the same plane and never intersect are parallel lines, not perpendicular. Perpendicular lines do intersect. So this is false.
4. "The lines are not in the same plane." - Perpendicular lines can be in the same plane (in 2 - D or 3 - D, but the basic definition in a plane is intersecting at right angles). Lines not in the same plane and not intersecting are skew lines, not perpendicular. So this is false.

Answer:

The lines intersect at a right angle.