Question

sample response: parallel lines never intersect, but they must be in the same plane. the definition does not require the undefined term point, but it does require plane. because they intersect, perpendicular lines must be coplanar; consequently, plane is not required in the definition. what did you include in your response? check all that apply. parallel lines do not intersect. parallel lines must be coplanar. perpendicular lines intersect at one point. perpendicular lines intersect so plane is not required in the definition.

Explanation:

The sample response discusses properties of parallel and perpendicular lines. Parallel lines are non - intersecting and coplanar. Perpendicular lines intersect (so coplanarity is inherent as intersection implies they are in the same plane, making the mention of plane in their definition unnecessary).

Answer:

• Parallel lines do not intersect.
• Parallel lines must be coplanar.
• Perpendicular lines intersect at one point.
• Perpendicular lines intersect so plane is not required in the definition.