Geometry Notes

These are my notes for my Geometry Class according to the textbook Geometry Student Edition CCSS.

Contents:

• Chapter 1: Tools of Geometry
  • 1.1: Points, Lines, and Planes
  • 1.2: Line Segments and Distance
  • 1.3: Locating Points and Midpoints
  • 1.4: Angle Measure
  • 1.5: Angle Relationships
  • 1.6: Two-Dimensional Figures
  • 1.7: Transformations in the Plane
  • 1.8: Three-Dimensional Figures
  • 1.9: Two-Dimensional Representations of Three-Dimensional Figures
  • 1.10: Precision and Accuracy
• Chapter 2: Logical Arguments and Line Relationships
  • 2.1: Conjectures and Counterexamples
  • 2.2: Statements, Conditionals, and Biconditionals
  • 2.3: conditional Statements
  • 2.4: Deductive Reasoning
  • 2.5: Postulate and Paragraph Proof
  • 2.6: Algebraic Proof
  • 2.7: Segment Relationships
  • 2.8: Slope and Equations of Lines
  • 2.9: Proving Lines Parallel
  • 2.10: Perpendiculars and Distance
• Chapter 3: Parallel and Perpendicular Lines
  • 3.1: Parallel Lines and Transversal
  • 3.2: Angles and parallel lines
  • 3.3: Slopes of lines
  • 3.4: Equations of lines
  • 3.5: Proving lines parallel
  • 3.6: Perpendiculars and Distance
• Chapter 4: Triangles and Congruence
  • 4.1: Classifying triangles
  • 4.2: Angles of triangles
  • 4.3: Congruent triangles
  • 4.4: Proving triangles congruent SSS SAS
  • 4.5: Proving triangles congruent ASA AAS
  • 4.6: Isosceles and Equilateral Triangles
  • 4.7: Congruence transformations
  • 4.8: Triangles and Coordinate Proof
  • Before Final Notes :)
• Chapter 5: Relationships in Triangles
  • 5.1: Bisectors of Triangles
  • 5.2: Medians and Altitudes of Triangles
  • 5.3: Inequalities in One Triangle
  • 5.4: Indirect Proof
  • 5.5: The Triangle Inequality
  • 5.6: Inequalities in Two Triangles
  • Last Minute Notes :)
• Chapter 6: Quadrilaterals
  • 6.1: Angles of Polygons
  • 6.2: Parallelograms
  • 6.3: Tests for Parallelograms
  • 6.4: Special Parallelograms: Rectangles
  • 6.5: Special Parallelograms: Rhombi, Squares
  • 6.6: Trapezoids and Kites
• Chapter 7: Similarity
  • 7.1: Dilations
  • 7.2: Similar Polygons
  • 7.3: Similar Triangles: AA Similarity
  • 7.4: Similar Triangles: SSS and SAS Similarity
  • 7.5: Parallel Lines and Proportional Parts
  • 7.6: Parts of Similar Triangles
• Chapter 8: Right Triangles and Trigonometry
  • 8.1: Geometric Mean
  • 8.2: The Pythagorean Theorem and Its Converse
  • 8.3: Special Right Triangles
  • 8.4: Trigonometry
  • 8.5: Angles of Elevation and Depression
  • 8.6: The Law of Sines
  • 8.7: The Law of Cosines
• Chapter 9: Circles
  • 9.1: Circles and Circumference
  • 9.2: Measuring Angles and Arcs
  • 9.3: Arcs and Chords
  • 9.4: Inscribed Angles
  • 9.5: Tangents
  • 9.6: Secants, Tangents, and Angle Measures
  • 9.7: Equations of Circles
  • 9.8: Equations of Parabolas
• Chapter 10: Extending Area
  • 10.1: Areas of Parallelograms and Triangles
  • 10.2: Areas of Trapezoids, Rhombi, and Kites
  • 10.3: Areas of Circles and Sectors
  • 10.4: Areas of Regular Polygons and Composite Figures
  • 10.5: Area and Nonrigid Transformations
  • 10.6: Surface Area
• Chapter 11: Extending Volume
  • 11.1: Areas of Parallelograms and Triangles
  • 11.2: Volumes of Prisms and Cylinders
  • 11.3: Volumes of Pyramids and Cones
  • 11.4: Spheres
  • 11.5: Spherical Geometry
  • 11.6: Volume and Nonrigid Transformations
  • 11.7: Applying Measurements
• Chapter 12: Probability
  • 12.1: Representing Sample Spaces
  • 12.2: Probability and Counting
  • 12.3: Probability with Permutations and Combinations
  • 12.4: Geometric Probability
  • 12.5: Probability and the Multiplication Rule
  • 12.6: Probability and the Addition Rule
  • 12.7: Conditional Probability
  • 12.8: Two-Way Frequency Tables