Basics of Geometry

• Points, Lines, Planes, and Angles

• Measuring and Classifying Angles

• Angle Relationships

• Introduction to Proofs and Logic

Transformations and Congruence

• Rigid Motions

• Congruent Figures and Corresponding Parts

• Triangle Congruence Theorems

• Using Proofs to Prove Triangle Congruence

Similarity and Right Triangle Trigonometry

• Dilations and Similar Figures

• Triangle Similarity Theorems 

• Proportions in Triangles and the Pythagorean Theorem

• Trigonometric Ratios 

• Solving Right Triangles Using Trigonometry

Polygons and Quadrilaterals

• Properties of Parallelograms, Rectangles, Rhombi, Squares, and Trapezoids

• Interior and Exterior Angle Sums of Polygons

• Using Proofs with Quadrilaterals

Circles

• Parts of a Circle

• Arcs and Central/ Inscribed Angles

• Circumference, Area, and Arc Length

• Equations of Circles in the Coordinate Plane

Coordinate Geometry

• Distance and Midpoint Formulas 

• Equation of a Line

• Classifying Shapes on the Coordinate Plane

• Using Algebra to Prove Geometric Theorems

Surface Area and Volume

• Prisms, Pyramids, Cylinders, Cones, and Spheres

• Surface Area and Volume Formulas

• Applications of Volume in Real-World Problems

Probability and Geometric Measurement

• Basic Probability and Geometric Probability

• Using Area and Length to Calculate Probabilities

Introduction to Proofs and Logical Reasoning

• Two Column Proofs and Paragraph Proofs

• Justifying Steps in Geometric Proofs

• Conditional Statements and Biconditional Statements