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Geometry - The Complete Course

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    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
    Angles
    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
    Parallelograms
    Proving Parallelograms
    Rectangles
    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
    Tangents
    Secants, Tangents, & Angle Measures
    Special Segments in a Circle
    Equations of Circles
    X. Polygons & Area
    Polygons
    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
    Mapping
    Reflections
    Translations
    Rotations
    Dilation

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