# The Ultimate Geometry Course

Are you on the lookout for a complete online course to master the essentials of Geometry? Look no further! Our course is designed to guide you through every concept, from the basics of shapes and sizes to the complexities of theorems and proofs. Whether you're starting fresh or brushing up on your knowledge, this is the perfect resource for all your Geometry learning needs!

If you want to take a completely free course that includes all you need to do well on the Geometry test, then this course is the one that will teach you every needed concept before the test date. It’s ideal for your needs and covers every Geometry concept.

This Geometry program as well as additional Effortless Math Education products gets utilized by multiple people taking the Geometry exam annually. It helps them review basic math info, as well as find out if they need to study more in certain math concepts. With it, you’ll get your best possible score on a Geometry examination.

Learn it all at your own speed, since there’s no required schedule! The lessons all include examples, special activities, notes, and practice sessions so you’ll totally understand it and learn all you need to know.

**The Absolute Best Book to Ace Geometry**

## Geometry Complete Course

### Geometric Tools and Concepts

- Points, Lines, and Planes
- Line Segments and Measurements
- Midpoint and distance
- Parallel Lines and Transversals
- Perpendicular Lines
- Lines, Rays, and Angles
- Types of Angles
- Complementary and Supplementary angles
- Bisecting an Angle
- Constructing a Triangle Given Its Sides
- The Circumscribed Circle
- The Inscribed Circle of a Triangle
- Inscribing Regular Polygons

### Reasoning and Proofs

- Conjectures and Counterexamples
- Inductive Reasoning from Patterns
- Conditional Statements
- Logic and Truth Tables
- Converse, Inverse, and Contrapositive
- Biconditionals and Definitions
- Deductive Reasoning
- Properties of Equality and Congruence
- Two Column Proofs
- Proving Angles Congruent

### Coordinate Geometry

- Finding Slope
- Writing Linear Equations
- Finding Midpoint
- Finding Distance of Two Points
- Finding a Graph’s Slope
- Graphing Lines Using Slope–Intercept Form
- Writing Linear Equations from Graphs
- Converting Between Standard and Slope-Intercept Forms
- Slope-intercept Form and Point-slope Form
- Write a Point-slope Form Equation from a Graph
- Writing Linear Equations From Y-Intercept and A Slope
- Comparison of Linear Functions: Equations and Graphs
- Equations of Horizontal and Vertical lines
- Graph a Horizontal or Vertical line
- Equation of Parallel and Perpendicular Lines

### Transformations, Rigid Motions, and Congruence

- Transformations on the Coordinate Plane
- Transformations-rotations, reflections and translations
- Rotation on the Coordinate Plane
- Reflection on the Coordinate Plane
- Dilation on the Coordinate Plane
- Dilations: Finding the Scale Factor
- Dilations: Finding a Coordinate
- Translations on the Coordinate Plane
- Congruence and Rigid Motions
- Symmetries of a Figure

### Quadrilaterals and Polygons

- Classifying Polygons
- Angles in Quadrilaterals
- Properties of Trapezoids
- Properties of Parallelograms
- Properties of Rectangles
- Properties of The Rhombus
- Properties of Squares
- Areas of Triangles and Quadrilaterals
- Perimeter of Polygons
- Polygons and Angles

### Triangles

- Triangles
- Classifying Triangles
- Triangle Angle Sum
- Triangle Midsegment
- Angle Bisectors of Triangles
- Isosceles and Equilateral Triangles
- Right Triangles
- Special Right Triangles
- The Pythagorean Theorem
- Pythagorean Theorem Converse: Is This a Right Triangle?
- Geometric Mean in Triangles
- Exterior Angle Theorem
- Medians
- Centroid
- The Triangle Inequality Theorem
- SSS and SAS Congruence
- ASA and AAS Congruence
- HL Congruences

### Dilation and Similarity

- Dilations
- Dilations and Angles
- Similarity
- Similarity Criteria
- Congruent and Similar Figures
- Area and Perimeter: Scale Changes
- The Side Splitter Theorem
- Similarity Transformations
- Partitioning a Line Segment
- Similar Polygons
- Right Triangles and Similarity
- Similar Solids

### Trigonometry

- Pythagorean Identities
- Special Right Triangles
- Trigonometric Ratios
- Trig Ratios of General Angles
- Right-Triangle Trigonometry
- Trigonometry and the Calculator
- Inverse Trigonometric Ratios
- Solving Right Triangles
- Trigonometry and Area of Triangles
- Law of Sines
- Law Cosines
- Trigonometric Applications

### Circle Geometry

- The Unit Circle
- Arc length and Sector Area
- Arcs and Central Angles
- Arcs and Chords
- Inscribed Polygons
- Inscribed Angles
- Tangents to Circles
- Secant Angles
- Secant-tangent and Tangent-tangent Angles
- Segment Lengths in Circle
- Segment Measures
- Standard Form of a Circle
- Finding the Center and the Radius of Circles
- Radian Angle Measurement

### Surface Area and Volume

- Circumference and Area of a Circle
- Area of a Trapezoids
- Area of Polygons
- Nets of 3-D Figures
- Cubes
- Rectangular Prisms
- Cylinder
- Surface Area of Prisms and Cylinders
- Volume of Cones and Pyramids
- Surface Area of Pyramids and Cones
- Volume of Spheres
- Sphere Surface Area
- Solids and Their Cross Sections
- Volume of a Truncated Cone

**Looking for the best resource to help you succeed on the Geometry test?**

**The Absolute Best Book to Ace the** **Geometry**

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