How to identify segments, rays and parallel lines. Chapter 1.4GeometryStandard/Goal 4.1
1. Check and discuss assignment from yesterday. 2. Read, write, and discuss how to identify segments and rays. 3. Read, write, and discuss how to recognize parallel lines. 4. Work on assignment.
segment is the part of a line consisting of two endpoints and all points between them. ray is the part of a line consisting of one endpoint and all the points of the line on one side of the endpoint.
Opposite rays are two collinear rays with the same endpoint.
Name the segments and rays in the figure. The labeled points in the figure are A, B, and C. A segment is a part of a line consisting of two endpoints and all points between them. A segment is named by its two endpoints. So the segments are BA (or AB ) and BC (or CB ). A ray is a part of a line consisting of one endpoint and all the points of the line on one side of that endpoint. A ray is named by its endpoint first, followed by any other point on the ray. So the rays are BA and BC.
parallel lines are coplanar lines that do not intersect. Skew lines are non-coplanar; therefore, they are not parallel and do not intersect.
Use the figure below. Name all segments that are parallel to AE. Name all segments that are skew to AE. Parallel segments lie in the same plane, and the lines that contain them do not intersect. The three segments in the figure above that are parallel to AE are BF, CG, and DH. Skew lines are lines that do not lie in the same plane. The four lines in the figure that do not lie in the same plane as AE are BC, CD, FG, and GH.
Parallel planes are planes that do not intersect.
Planes are parallel if they do not intersect. If the walls of your classroom are vertical, opposite walls are parts of parallel planes. If the ceiling and floor of the classroom are level, they are parts of parallel planes. Identify a pair of parallel planes in your classroom.
Kennedy, D., Charles, R., Hall, B., Bass, L., Johnson, A. (2009) Geometry Prentice Hall Mathematics. Power Point made by: Robert Orloski Jerome High School.