For the given true statements, what can you conclude using the Law of Detachment?

Given: If two lines are parallel, then they do not intersect. Line ℓ is parallel to line m.

A.
Line ℓ and line m do not intersect.

B.
Line ℓ and line m are perpendicular

C.
Line ℓ and line m intersect.

1 answer

A. Line ℓ and line m do not intersect.

Using the Law of Detachment, because we know that if two lines are parallel, then they do not intersect, and we are also given that line ℓ is parallel to line m, we can conclude that line ℓ and line m do not intersect.
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