Summary of Relationships

• Points, Lines, and Planes
• Postulates and Theorems
• Segments, Midpoints, and Rays
• Angles and Angle Pairs
• Special Angles
• Lines: Intersecting, Perpendicular, Parallel
• Parallel and Perpendicular Planes

• Angle Pairs Created with a Transversal
• The Parallel Postulate
• Consequences of the Parallel Postulate
• Testing for Parallel Lines

• The Triangle Defined
• Angle Sum of a Triangle
• Exterior Angle of a Triangle
• Classifying Triangles by Sides or Angles
• Special Names for Sides and Angles
• Altitudes, Medians, and Angle Bisectors
• Congruent Triangles
• Special Features of Isosceles Triangles
• Triangle Inequalities: Sides and Angles
• The Triangle Inequality Theorem

• Classifying Polygons
• Angle Sum of Polygons
• Special Quadrilaterals
• Proving that Figures Are Parallelograms
• Properties of Special Parallelograms
• Properties of Trapezoids
• The Midpoint Theorem

• Squares and Rectangles
• Parallelograms
• Triangles
• Trapezoids
• Regular Polygons
• Circles
• Formulas: Perimeter, Circumference, Area

• Ratio and Proportion
• Properties of Proportions
• Similar Polygons
• Similar Triangles
• Proportional Parts of Triangles
• Proportional Parts of Similar Triangles
• Similar Triangles: Perimeters and Areas

• Geometric Mean
• Altitude to the Hypotenuse
• Pythagorean Theorem and Its Converse
• Extension to the Pythagorean Theorem
• Special Right Triangles

• Parts of Circles
• Central Angles and Arcs
• Arcs and Inscribed Angles
• Other Angles
• Arcs and Chords
• Segments of Chords, Secants, Tangents
• Arc Length and Sectors
• Summary of Relationships

• Prisms
• Right Prisms
• Right Circular Cylinders
• Pyramids
• Regular Pyramids
• Right Circular Cones
• Spheres

• Points and Coordinates
• Distance Formula
• Midpoint Formula
• Slope of a Line
• Slopes: Parallel and Perpendicular Lines
• Equations of Lines
• Summary of Coordinate Geometry Formulas