Introduction
Course Organization and Outline
The course will be divided into eight study lessons and two examinations. The eight lessons will focus on geometry concepts and will include assignments consisting of multiple-choice and open-ended questions. The two examinations will focus on four lessons each and will contain strictly open-ended questions.
Lesson 1: Points, Lines, Planes, and Angles
This lesson will cover the basic concepts of geometry, including learning how to measure with precision, the midpoint and distance formulas, angle measurements and relationships, and the basics of polygons.
Lesson 2: Logic, Proof, and Reasoning
This lesson will cover inductive and deductive reasoning, conditional statements, postulates, algebraic proofs, the basics of two-column proofs, and proving angle and segment relationships.
Lesson 3: Parallel and Perpendicular Lines
This lesson will cover parallel lines and their transversals, angles formed by parallel lines and their relationships, slopes of lines, equations of lines, proving lines parallel, and using perpendicular lines to measure distance.
Lesson 4: Classifying Triangles and Angle Relations
This lesson will cover classifying triangles by angles and sides, finding missing measurements in triangles, using a protractor to measure angles, angle relationships in triangles, and exterior angle relationships.
Lesson 5: Midterm Examination
In this lesson you will receive tips for preparing for and taking the midterm exam covering the material in lessons 1–4.
Lesson 6: Congruence of Triangles
This lesson will cover the definition of congruent triangles, learning to prove triangles congruent, and coordinate proofs.
Lesson 7: Relationships in Triangles and Indirect Proof
This lesson will cover bisectors, medians, and altitudes in triangles; inequalities within triangles; indirect proof; the triangle inequality theorem; and inequalities with two triangles.
Lesson 8: Triangle and Polygon Proportions and Similarity
This lesson will cover proportions, similar triangles, similar polygons, proportional parts and parallel lines, and parts of similar triangles.
Lesson 9: Right Triangles and Trigonometric Ratios
This lesson will cover the Pythagorean Theorem, special right triangles, triangle trigonometry, angles of elevation and depression, and relationships with the altitude in a right triangle.
Lesson 10: Final Examination
In this lesson you will receive tips for preparing for and taking the final exam covering lessons 6–9.
