Question

Mike is looking at parallel lines. He draws lines I and mas two lines parallel to each other. What can be said about these parallel lines? (Select all that apply)

A) The lines will never intersect.
B) They have no point in common.
C) They have EXACTLY one point in common.
D) The two lines form at least one right angle.

Answer 1

For the parallel lines Mike has drawn, the correct statements are A) The lines will never intersect and B) They have no point in common. These are characteristic properties of parallel lines.

Step-by-step explanation:

Mike is looking at two lines, line I and line m, that he has drawn to be parallel to each other. The characteristics of parallel lines can be described as follows:

• A) The lines will never intersect.
• B) They have no point in common.
• C) They have exactly one point in common. (This is incorrect as parallel lines do not meet.)
• D) The two lines form at least one right angle. (This is also incorrect as parallel lines do not form angles with each other because they do not intersect.)

Therefore, only statements A and B are true for parallel lines I and m. Parallel lines are always the same distance apart, and if extended infinitely, they would never touch.