Geometry Lessons
Click on a lesson below to view the examples that will be shown:
Basics of Geometry
- Points, Lines and Planes
- Lengths of Segments, Distance and Midpoint Formulas
- Angle Measure
- Angle Relationships (Adjacent, Complementary, Supplementary and Vertical Angles)
Reasoning and Proof
- Inductive Reasoning and Conjectures
- Conditionals (If - Then Statements)
- Deductive Reasoning (Law of Detachment and Law of Syllogism)
- Algebraic Proofs
- Proving Statements about Segments
- Proving Statements about Angles
Parallel and Perpendicular Lines
- Parallel Lines and Transversals
- Proving Lines are Parallel and Perpendicular
- Slopes of Lines
- Slopes of Parallel and Perpendicular Lines
Congruent Triangles
- Classifying Triangles
- Angles of Triangles
- Congruent Triangles
- Proving Congruent Triangles
- Isosceles Triangles
- Proving Triangles Using Coordinate Geometry
Proportions and Similarity
Right Triangles and Trigonometry
- Geometric Mean and Similar Triangles
- The Pythagorean Theorem
- Special Right Triangles
- Trigonometry - Sine, Cosine and Tangent
- Angles of Depression and Elevation
- The Law of Sines
- Law of Cosines
Circles
- Circumference and Arc Length
- Central and Inscribed Angles
- Arcs and Chords
- Secants, Tangents and Chords
- The Equation of a Circle
Areas of Polygons and Circles
- Angles of Polygons
- Tessellations
- Areas of Parallelograms
- Areas of Regular Polygons
- Areas of Circles and Sectors
Linear Functions
- Domain, Range and Linear Functions
- Slope
- Slope-Intercept Form of a Line
- Standard and Point-Slope Form of a Line
- Parallel and Perpendicular Lines