Segments, Rays, Parallel Lines and Planes

1. 1. What is the difference between AB and AB? A B 2. Are XY and YX the same Ray? AB Endpoint Endpoint 3. Are AB and BA the same Segment? X Y 4. Which contains more points AB, AB or XY? XY Endpoint L P Q 5. Name four different Rays? Name two opposite rays? E F Parallel lines must be Coplanar. (same direction) A B m n H m n AB DC Read is parallel to. G D C Segments, Rays, Parallel Lines and Planes Vocabulary found in Chapter 1 Section 3 Segment, Ray, Opposite Rays, Parallel Lines, Skew Lines, Parallel Planes

2. E F A B There are two categories of Lines and three types: AB and CG are Skew G Coplanar or Non-Coplanar H AD and EF are Skew Intersecting Skew D C Parallel Skew Linesdo not lie on the same plane. They are neither parallel nor intersecting. B Y T Planes can either be parallel or intersecting. A R X Name two lines that are not coplanar that do not intersect? 6. Can two lines be non-coplanar and intersect?

3. 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. 5. PQ, PL, QP (QL), LP (LQ) : parenthesis denote the same ray. PQ and PL are Opposite Rays 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. 4. They all contain the same number of points because between any two points in space lie infinite points. 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.