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Lines l and m are parallel.

Which statement is always true?

Group of answer choices

A 90° rotation will map line l onto line m.

Line l can be reflected over a horizontal line to map onto line m.

Line l can be reflected over a vertical line to map onto line m.

Line l can be translated to map onto line m.

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Lines l and m are parallel; line l will map onto line m with a 90° rotation; line l can map onto line m with a vertical line of reflection.

Do you have any explanations as to why the lines L and m are parallel?

  • L and m are not parallel because the sum of the co-interior angles on the same side of the transversal does not equal 180 degrees.
  • In the event when two lines, l and m, are in the same plane but do not cross, they are said to be parallel.
  • We are aware that the equivalent angles are equal if they are parallel and a transversal is drawn to intersect them both. Accordingly, these are x and y. As a result, we can conclude that x and y are equivalent if l and m are parallel.
  • If two lines, l and m, are in the same plane and do not cross one another, then they are parallel.        

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