Points, Lines, and Planes (Definitions & Postulates)

Line Segments, Rays, & Distance Formula

Midpoint Formula

Angles & Their Types (Acute, Right, Obtuse, Straight)

Angle Pair Relationships (Complementary, Supplementary, Vertical, Adjacent)

Basic Constructions with Compass & Straightedge

Parallel & Perpendicular Lines

Transversals & Angle Relationships

Triangle Inequality Theorem

Classifying Triangles by Sides & Angles

Triangle Sum Theorem

Pythagorean Theorem & Its Applications

Special Right Triangles (30°-60°-90° & 45°-45°-90°)

Congruent Triangles (SSS, SAS, ASA, AAS, HL)

Proving Triangles Congruent with Two-Column Proofs

Triangle Similarity (AA, SSS, SAS)

Proportionality in Triangles

Medians, Altitudes, Perpendicular Bisectors & Angle Bisectors in Triangles

Centroid, Incenter, Circumcenter, Orthocenter (Triangle Centers)

Types of Polygons & Their Properties

Sum of Interior & Exterior Angles in Polygons

Properties of Parallelograms

Special Quadrilaterals (Rhombus, Rectangle, Square, Trapezoid, Kite)

Proving Quadrilaterals Are Parallelograms

Trapezoids & Midsegment Theorem

Coordinate Geometry with Quadrilaterals

Parts of a Circle (Radius, Diameter, Chord, Tangent, Secant)

Circumference & Area of a Circle

Arcs & Central Angles

Inscribed Angles & Their Properties

Tangent Lines & Their Properties

Equations of Circles in the Coordinate Plane

Sector Area & Arc Length

Segment of a Circle

Constructions Involving Circles

Translations, Reflections, Rotations, & Dilations

Congruence & Similarity Transformations

Symmetry (Line & Rotational)

Tessellations & Patterns

Trigonometric Ratios (Sine, Cosine, Tangent)

Using Trigonometry to Find Missing Sides & Angles

Law of Sines & Law of Cosines

Angle of Elevation & Depression Problems

Distance Formula & Midpoint Formula

Slope of a Line & Parallel/Perpendicular Slopes

Writing Equations of Lines

Proving Geometric Theorems Using Coordinate Geometry

Equation of a Circle & Transformations in the Coordinate Plane