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GeoBytes
Welcome to Honors Geometry
Lesson Resources
Unit 1: The Tools of Geometry
Points, Lines, and Planes
The Distance Formula and Linear Measure
The Midpoint Formula and Linear Measure
Angle Relationships
Angle Addition Postulate and Angle Bisectors
Basic Constructions
Unit 2: Reasoning and Proof
Patterns and Inductive Reasoning
Logic Symbols
Conditional and Biconditional Statements
Laws of Deductive Reasoning
Algebraic Proof and Properties
Geometric Proof and Properties
Proving Segment Relationships
Proving Angle Relationships
Unit 3: Parallel and Perpendicular Lines
Lines and Transversals
Properties of Parallel Lines
Proving Lines Parallel
Constructing Parallel and Perpendicular Lines
Slopes of Parallel and Perpendicular Lines
Equations of Parallel and Perpendicular Lines
Unit 4: Triangle Congruence
Angles of Triangles
Congruent Triangles
Proving Congruence--SSS and SAS
Proving Congruence--ASA and AAS
Proving Congruence: HL
Using Corresponding Parts of Congruent Triangles
Isosceles Triangles
Triangles and Coordinate Proofs
Unit 5: Relationships Within Triangles
The Triangle Inequality Theorem
Triangles and Inequalities: Comparing Sides and Angles
Unit 6: Triangle Similarity
Using Proportions
Similar Polygons
Proving Triangles Similar
Parts of Similar Triangles
Similarity in Right Triangles
Proportions in Triangles
Unit 7: Right Triangles and Trigonometry
The Pythagorean Theorem and Its Converse
Special Right Triangles
Trigonometry: Tangent Ratios
Trigonometry: Sine and Cosine Ratios
Angles of Elevation and Depression
The Law of Sines
The Law of Cosines
Unit 8: Polygons and Quadrilaterals
The Polygon Angle-Sum Theorems
Properties of Parallelograms
Proving that a Quadrilateral is a Parallelogram
Proving that a Quadrilateral is a Rectangle
Proving that a Quadrilateral is a Rhombus or Square
Proving that a Quadrilateral is a Trapezoid or Kite
Quadrilaterals and Coordinate Proof
Unit 9: Circles
Circles, Circumference, and Area
Central Angles and Arcs
Arc Length and Area of Sectors
Chords and Arcs
Inscribed Angles and Polygons
Constructing Inscribed Polygons
Tangents
Angles Formed by Chords, Secants, and Tangents
Segments Formed by Chords, Secants, and Tangents
Circles in the Coordinate Plane
Unit 10: Transformations and Symmetry
Translations
Reflections
Rotations
Symmetry
Dilations
Tessellations
Unit 11: Area, Surface Area, and Volume
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 and Hemispheres
Areas and Volumes of Similar Solids
The Effects of Changing Dimensions
SOL Geometry Formula Sheet
Assignments and Online Resources
Review Packets and Videos
GeoBytes
The Pythagorean Theorem and its Converse
Lesson Notes
Practice
Pages 495-497
Video: The Pythagorean Theorem and Its Converse Lesson Basics and Practice Problems
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