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Objectives: Identify segments and rays Recognize parallel lines

Section 1-3: Segments, Rays, Parallel Lines, Planes SPI 32A: Identify properties of plane figures. Objectives: Identify segments and rays Recognize parallel lines. Review Vocabulary. Point: Designates a location, has no size, named by a capital letter

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Objectives: Identify segments and rays Recognize parallel lines

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  1. Section 1-3: Segments, Rays, Parallel Lines, Planes SPI 32A: Identify properties of plane figures • Objectives: • Identify segments and rays • Recognize parallel lines Review Vocabulary Point: Designates a location, has no size, named by a capital letter Line: Series of points that extends in 2 opposite direction without end Space: A set of all points. Plane: Flat surface with no thickness; contains many lines Collinear Points: Points that lie on the same line

  2. More Vocabulary

  3. Segment: Part of a line consisting of two endpoints and all points in between. (Segment AB or BA) Definition: How to sketch: How to name:

  4. ( the symbol RA is read as “ray RA” ) Ray: Definition: Part of a line consisting of one endpoint and all the points of the line on one side of the endpoint. When naming, endpoint must be listed first. (AB and BA are not the same) How to sketch: How to name:

  5. Opposite Rays: Two collinear rays with the same endpoint. Opposite rays always form a line. Definition: ( Opposite rays must have the same “endpoint” ) opposite rays

  6. 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. Naming Segments and Rays Name the segments and rays in the figure.

  7. Vocabulary (cont) Parallel Lines: Definition: Coplanar lines that do not intersect Skew lines: Definition: Noncoplanar (they do not lie in the same flat surface), therefore they are not parallel and do not intersect. Parallel Planes: Definition: Planes that do not intersect. Plane KLQP II plane NMRS Plane KLMN II plane PQRS Plane PKNS II plane QLMR

  8. 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. Naming Parallel and Skew Lines Use the figure below. Name all segments that are parallel to AE. Name all segments that are skew to AE.

  9. Vocabulary (cont) A Perpendicular Lines: C D B Definition: Lines which intersect to form a right angle (90°) Midpoint: A B C Segment with midpoint B. Definition: Divides a line segment into two congruent (equal) segments. Intersect: Definition: Crossing or sharing a point

  10. A street map can be thought of as a series of parallel, intersecting, and skew segments. Name a street that is parallel to Park Street. Name a street that intersects State Street. Name a street that intersects Hemlock Avenue. Will a car traveling on Hill Street ever meet a car traveling on Crosstown Road? Explain. Name all streets on the map that are parallel to State Street. Enrichment 1-3

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