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Question
your friend claims the uneven parallel bars in gymnastics are not really parallel. she says one is higher than the other, so they cannot be in the same plane. is she correct? explain.
a. yes. the two bars actually form skew lines.
b. no. the bars are in different planes, but they are still parallel
c. yes. the bars are not parallel because they are in different planes.
d. no. the bars are in the same plane that is slanted with respect to the horizontal
Parallel lines are defined as lines in the same plane that do not intersect. However, in three - dimensional space, lines can be parallel even if they are in different planes. Skew lines are non - parallel and non - intersecting lines in different planes. The uneven parallel bars in gymnastics are parallel. Just because one is higher (in a different vertical position, i.e., different planes in 3D space) does not mean they are not parallel. Parallelism in 3D is about the direction of the lines (they have the same slope or direction vector), not about being in the same horizontal plane.
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B. no. The bars are in different planes, but they are still parallel