MATH130C: Geometry

Credits 4 Lab/Practicum/Clinical Hours 0 Lecture Hours 4
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Introduces the student to college-level Euclidean geometry, including definitions, postulates, and theorems. Topics include reasoning and proofs; parallel and perpendicular lines; triangles and congruence; quadrilaterals; circles; transformations; area; and analytic geometry. The course also introduces concepts in non-Euclidean geometry. The student will complete a required project. A graphing calculator, compass, protractor, and dynamic geometry software are required.


Students are required to pass prerequisite courses with a grade of C or higher. Exceptions apply; please consult your department chair.
  • High school Algebra II with a grade of C or higher (or equivalent) or MATH 092 with a grade of C or higher or by recommendation of the Math/Physics Department.
  • Use axioms, definitions, and given theorems to prove properties of geometry.
  • Prove two triangles congruent under varying sets of hypotheses (the traditional SAS, SSS, ASA, AAS proofs).
  • Use the inequality theorems for triangles to establish relationships between measures of sides and angles of triangles.
  • Explain the difference between Euclidean and Non-Euclidean Geometries as related to the Parallel Postulate.
  • Use symmetry and transformations to solve problems.
  • Use logical reasoning in geometric proofs.
  • Write analytic proofs using properties from algebra and congruence.
  • Apply the properties of right triangles, including Pythagorean Theorem and similar right triangles, and trigonome-try.
  • Apply the properties of circles to solve problems.
  • Use geometric formulas to compute the area of plane figures.