Community College of Rhode Island

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Math 0700: Geometry

Non Credit Course
Offered in Lecture Format
Prerequisite required (MATH 0600 or Appropriate Placement-Test score)

SYLLABUS

  • I. INTRODUCTION AND FUNDAMENTAL CONCEPTS
    • A. Reasoning: Inductive and Deductive
    • B. Undefined terms and basic definitions
    • C. Angles
    • D. Basic constructions
    • E. Proofs
    • F. Theorems
  • II. CONGRUENT TRIANGLES AND BASIC THEOREMS
    • A. Proving corresponding parts equal
    • B. Theorems on isosceles triangles
  • III. PARALLELS AND PARALLELOGRAMS
    • A. Indirect proofs
    • B. Angle sums (triangles and polygons)
    • C. Parallelograms
    • D. Rectangles/rhombus/trapezoid
  • IV. AREAS
    • A. Polygon areas
    • B. Circle areas
    • C. Pythagorean theorem
    • D. Surface area and volume
  • V. RATIO, PROPORTION, AND SIMILARITY
  • VI. CIRCLES
    • A. Arcs
    • B. Chords and secants
    • C. Tangents
  • VII. LOCI
    • A. Basic locus theorems
    • B. Concurrence theorems
  • VIII. REGULAR POLYGONS
    • A. Circumscribed circles
    • B. Inscribed circles
  • *IX. LOGIC
    • A. Validity
    • B. Converses
    • C. Contrapositives
  • *X. INTRODUCTION TO ANALYTIC GEOMETRY
    • A. Cartesian coordinate system
    • B. Straight line

*Optional


Last Updated: 3/18/13