Chapter 07

Section 7.3: Triangles

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7.3 Outline

  1. Terminology
    1. six parts of a triangle
    2. classifying triangles
      1. by sides
        1. scalene
        2. isosceles
        3. equilateral
      2. by angles
        1. acute
        2. right
        3. obtuse
    3. congruent triangles
      1. construction
      2. corresponding parts
  2. Angles of a triangle
    1. angles in a triangle
    2. exterior angle
    3. exterior angle property
  3. Isosceles triangle
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Section 7.2: Polygons and Angles

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7.2 Outline

  1. Angles
    1. vertex (pl. vertices)
    2. angle
    3. notation for angles
    4. equal angles
    5. degree
    6. classifications
      1. acute
      2. right
      3. obtuse
      4. straight
    7. congruent angles
    8. complementary angles
    9. supplementary angles
    10. adjacent angles
    11. vertical angles
  2. Polygons
    1. definition
    2. regular polygon
    3. classifications
    4. quadrilateral
      1. classification
      2. trapezoid
      3. parallelogram
      4. rhombus
      5. rectangle
      6. square
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Section 7.1: Geometry

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7.1 Outline

  1. Greek (Euclidean) geometry
    1. undefined terms
      1. point
      2. line
      3. plane
      4. surface
    2. categories
      1. traditional (Euclidean) geometry
      2. transformational geometry
    3. Euclid’s postulates
      1. postulate
      2. axiom
      3. theorem
      4. five postulates
    4. parallel lines
    5. non-Euclidean geometries
    6. straightedge
    7. line segment
    8. congruent figures
    9. construct a figure
      1. construct a circle
      2. construct
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