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Segments, Rays, Parallel Lines and Planes LQP 5. Name four different Rays? Name two opposite rays? C Parallel lines must be Coplanar. (same direction) mn E B G D A H F m n AB DC Read is parallel to. Vocabulary found in Chapter 1 Section 3 Segment, Ray, Opposite Rays, Parallel Lines, Skew Lines, Parallel Planes AB Endpoint XY XY AB Endpoint 1. What is the difference between AB and AB? 2. Are XY and YX the same Ray? 3. Are AB and BA the same Segment? 4. Which contains more points AB, AB or XY?
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Planes can either be parallel or intersecting. X Y A B R T FE G H A C B D Skew Lines do not lie on the same plane. They are neither parallel nor intersecting. AB and CG are Skew AD and EF are Skew Name two lines that are not coplanar that do not intersect? 6. Can two lines be non-coplanar and intersect? There are two categories of Lines and three types: Coplanar or Non-Coplanar Intersecting Parallel Skew
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1. Line AB continues forever past A and B whereas Segment AB contains only the points between A and B 3. Yes, because the points between A and B are the same as the points between B and A. That is like reading a class roster forwards and backwards, it is still the same class. 2. No, XY and YX are never the same ray because they do not even start at the same point or go in the same direction. 4. They all contain the same number of points because between any two points in space lie infinite points. 5. PQ, PL, QP (QL), LP (LQ) : parenthesis denote the same ray. PQ and PL are Opposite Rays 6. No, If two lines intersect then they share one point. If you then connect the point of intersection to a separate point on each line you would have three non- collinear points therefore creating a plane. Therefore two intersecting lines are always coplanar.
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