1. What is Geometry?

2. Points, Lines, Line Segments, and Rays

3. Planes and Space

4. Angles: Types and Measurement

   1. Acute, Right, Obtuse, Straight

5. Angle Relationships

   1. Complementary and Supplementary Angles

   2. Vertical Angles

   3. Adjacent Angles

6. Measuring Angles with a Protractor

7. Basic Geometric Terms and Definitions

Coordinate Geometry (Analytic Geometry) 

1. The Cartesian Coordinate Plane

2. Distance Formula

3. Midpoint Formula

4. Slope of a Line

5. Equation of a Line

   1. Slope-Intercept Form

   2. Point-Slope Form

6. Graphing Lines and Curves

7. Conic Sections (also in Algebra)

   1. Circle Equation

   2. Parabola Equation

   3. Ellipse and Hyperbola (Intro)

Transformational Geometry 

1. Translations, Rotations, Reflections, and Dilations

2. Congruence and Similarity via Transformations

3. Symmetry (Line and Rotational)
   Tessellations and Patterns
   
   

Advanced Geometry Topics 

1. Triangles

   1. Types (Equilateral, Isosceles, Scalene, Right)

   2. Triangle Sum Theorem

   3. Congruence and Similarity

   4. Pythagorean Theorem

   5. Special Right Triangles (30-60-90, 45-45-90)

   6. Triangle Inequality Theorem

2. Quadrilaterals

   1. Types: Square, Rectangle, Rhombus, Parallelogram, Trapezoid

   2. Properties of Quadrilaterals

3. Polygons

   1. Naming and Classifying

   2. Sum of Interior and Exterior Angles

4. Circles

   1. Radius, Diameter, Chord, Arc, Sector

   2. Central and Inscribed Angles

   3. Circumference and Area

   4. Tangents and Secants

Solid Geometry (3D Geometry) 

1. Types of 3D Shapes: Prisms, Pyramids, Cylinders, Cones, Spheres

2. Surface Area and Volume

   1. Cubes and Rectangular Prisms

   2. Cylinders, Cones, and Spheres

3. Nets of 3D Shapes

4. Cross Sections

Geometric Proof and Reasoning 

1. Inductive and Deductive Reasoning

2. Writing Formal Geometric Proofs

3. Two-Column Proofs

4. Proofs Involving:

   1. Triangles

   2. Parallel Lines

   3. Angle Properties

5. Construction with Compass and Straightedge

Practical Geometry / Applications