Question

which of the following statements about parallel and perpendicular lines is correct? parallel lines always curve, while perpendicular lines are always straight; parallel lines meet at a right angle, while perpendicular lines never meet; parallel lines never meet and stay the same distance apart, while perpendicular lines meet at a right angle; parallel lines are always vertical, while perpendicular lines are always horizontal

Explanation:

• Analyze the yellow option: Parallel lines are straight (not curved), and perpendicular lines are also straight. So this is incorrect.
• Analyze the purple option: Parallel lines never meet, and perpendicular lines meet at a right angle. So this is incorrect.
• Analyze the orange option: By definition, parallel lines in a plane never intersect (meet) and are equidistant, while perpendicular lines intersect at a 90° (right) angle. This matches the correct definitions.
• Analyze the teal option: Parallel lines can be in any direction (not just vertical), and perpendicular lines can be in any direction as long as they meet at a right angle (not just horizontal). So this is incorrect.

Answer:

The correct statement is the one in the orange box: "Parallel lines never meet and stay the same distance apart, while perpendicular lines meet at a right angle"