Geometry - The Complete Course



Master this course with our excellent professor, Mary Pyo, who will explain each topic in detail. 100% of her students have earned a 4 or 5 on their Tests.

Course Topics:

I. Tools of Geometry
Coordinate Plane
Points, Lines and Planes
Measuring Segments
Midpoints and Segment Congruence
II. Reasoning & Proof
Inductive Reasoning
Conditional Statements
Point, Line, and Plane Postulates
Deductive Reasoning
Proofs in Algebra: Properties of Equality
Proving Segment Relationship
Proving Angle Relationships
III. Perpendicular & Parallel Lines
Parallel Lines and Transversals
Angles and Parallel Lines
Slope of Lines
Proving Lines Parallel
Parallels and Distance
IV. Congruent Triangles
Classifying Triangles
Measuring Angles in Triangles
Exploring Congruent Triangles
Proving Triangles Congruent
Isosceles and Equilateral Triangles
V. Triangle Inequalities
Special Segments in Triangles
Right Triangles
Indirect Proofs and Inequalities
Inequalities for Sides and Angles of a Triangle
Triangle Inequality
Inequalities Involving Two Triangles
VI. Quadrilaterals
Proving Parallelograms
Squares and Rhombi
Trapezoids and Kites
VII. Proportions and Similarity
Using Proportions and Ratios
Similar Polygons
Similar Triangles
Parallel Lines and Proportional Parts
Parts of Similar Triangles
VIII. Applying Right Triangles & Trigonometry
Pythagorean Theorem
Geometric Mean
Special Right Triangles
Ratios in Right Triangles
Angles of Elevation and Depression
Law of Sines
Law of Cosines
IX. Circles
Segments in a Circle
Angles and Arc
Arcs and Chords
Inscribed Angles
Secants, Tangents, & Angle Measures
Special Segments in a Circle
Equations of Circles
X. Polygons & Area
Area of Parallelograms
Area of Triangles Rhombi, & Trapezoids
Area of Regular Polygons & Circles
Perimeter & Area of Similar Figures
Geometric Probability
XI. Solids
Three-Dimensional Figures
Surface Area of Prisms and Cylinders
Surface Area of Pyramids and Cones
Volume of Prisms and Cylinders
Volume of Pyramids and Cones
Surface Area and Volume of Spheres
Congruent and Similar Solids
XII. Transformational Geometry

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