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Geometric Terms and Concepts Explained

Learn about lines, planes, angles, and geometric pairs in this comprehensive guide. Understand intersecting, parallel, and skew lines, as well as different types of angles and angle pairs. Enhance your geometric knowledge with clear explanations and examples.

abraham-taylor
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Geometric Terms and Concepts Explained

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  1. Geometric Terms • 7 Math: Sections 7-1 and 7-2

  2. A B C D A X Y Lines and Planes • Point - indicates a location in space. • Line - A series of points that extend forever in both directions. • Ray - A part of line that goes forever in one direction. • Segment - A part of a line that is between 2 endpoints.

  3. Plane • A flat surface that extends indefinitely in all directions and has no thickness. • A piece of paper is like a plane that you write on. • What are some other planes in the classroom?

  4. Types of Lines • Intersecting Lines - Have exactly one point in common because they meet one time. • Parallel Lines - Are in the same plane and never intersect. • Skew Lines - Lie in different planes, and never intersect and are not parallel.

  5. Practice Naming Line Segments • Name a pair of intersecting segments. • Name a pair of parallel segments. • Name a pair of skew segments.

  6. Angles • An angle is formed by 2 rays with a common endpoint. • Vertex - is the point of intersection of the 2 rays. • Name with Angle Sign, followed by 3 capital letters with the vertex in the middle.

  7. Types of Angles • Acute: Between 0 and 90 degrees. • Right: 90 degrees • Obtuse: between 90 and 180 degrees • Straight: 180 degrees

  8. Pairs of Angles • Complementary: Pairs of angles whose sum is 90 degrees • Supplementary: Pairs of angles whose sum is 180 degrees • Adjacent: Share a vertex and a side • Vertical: Formed by 2 intersecting lines and are opposite each other (in the X) • Congruent: Have equal measures

  9. Identifying Angles • Obtuse • Acute • Straight • Right

  10. Identifying Angles • Complementary • Supplementary • Vertical • Adjacent

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