Table of Contents

Foundations of Geometry
 Points, Lines, and Planes in Space
 Congruence of Line Segments
 Distance and Midpoint on a Number Line
 Distance on the Coordinate Plane: Pythagorean Formula
 Midpoint on the Coordinate Plane
 Measuring Angles
 Turns and Angles
 Complementary and Supplementary Angles
 Adjacent and Vertically Opposite Angles
 Vertically Opposite Angles
 Lines and Transversals: Angle Pairs
 Parallel Lines and Transversals: Angle Relationships
 Parallel Lines and Transversals: Angle Applications
 Nets of 3D Shapes
 Convex and Concave Polygons
 Reasoning and Proof
 Parallel and Perpendicular Lines
 Transformations
 Congruence

Triangle Relationships
 Angle Sum of a Triangle
 Isosceles Triangle Theorems
 Equilateral Triangles
 Triangles on the Coordinate Plane
 Perpendicular Bisector Theorem and Its Converse
 Medians of Triangles
 Exterior Angles of a Triangle
 Inequality in One Triangle: Angle Comparison
 Inequality in One Triangle: Side Comparison
 The Hinge Theorem
 Angle Bisector Theorem and Its Converse

Right Triangles and Trigonometry
 The Pythagorean Theorem
 The Converse of the Pythagorean Theorem
 Pythagorean Inequality Theorem
 The Cosine Ratio
 The Sine Ratio
 The Tangent Ratio
 Right Triangle Trigonometry: Solving for an Angle
 Right Triangle Trigonometry: Solving for a Side
 Angles of Elevation and Depression
 Right Triangle Altitude Theorem
 Applications on the Pythagorean Theorem
 Special Right Triangles
 Trigonometric Ratios of Special Triangles
 Finding the Area of a Triangle Using Trigonometry
 Law of Sines
 Law of Cosines
 Applications on Sine and Cosine Laws

Quadrilaterals and Polygons
 The Sum of Angles in Quadrilaterals
 Interior Angles of a Polygon
 Exterior Angles of a Polygon
 Properties of Rectangles
 Rectangles on the Coordinate Plane
 Classifying Quadrilaterals
 Properties of Rhombuses
 Properties of Squares
 Properties of Kites
 Properties of Parallelograms
 Parallelograms on the Coordinate Plane
 Perimeter of Polygons
 Isosceles Trapezoids
 Trapezoid Midsegment Theorem
 Similarity

Area, Surface Area, and Volume
 Areas of Rectangles and Squares
 Area of a Parallelogram
 Area of a Triangle
 Volumes of Rectangular Prisms and Cubes
 Volumes of Cylinders
 Surface Areas of Rectangular Prism and Cubes
 Surface Areas of Cylinders
 Area of a Trapezoid
 The Area of a Square in terms of Its Diagonals
 Finding the Area of a Rhombus Using Diagonals
 Area of a Kite
 Arc Lengths
 Areas of Composite Figures
 Areas of Regular Polygons
 Areas of Similar Polygons
 Plans and Elevations
 Surface Areas of Prisms
 Surface Areas of Cones
 Volumes of Oblique Prisms
 Volumes of Triangular Prisms
 Volumes of Triangular and Quadrilateral Pyramids
 Surface Areas of Pyramids
 Volumes of Cones
 Volumes of Composite Solids
 Volumes of Spheres
 Surface Areas of Spheres
 Volumes of Composite Prisms
 Surface Areas of Composite Solids
 Relating Volumes and Surface Areas
 Similarity of Solids
 Density of Solids

Circles
 Circles
 Areas and Circumferences of Circles
 Central Angles and Arcs
 Perpendicular Bisector of a Chord
 Inscribed Angles in a Circle
 Properties of Cyclic Quadrilaterals
 Tangents of a Circle
 Properties of Tangents and Chords
 Circumscribed Polygons
 Angles of Intersecting Lines in a Circle
 Angles of Tangency
 Equation of a Circle
 Equation of a Circle Passing through Three Noncollinear Points
 Special Segments in a Circle
 Areas of Circular Segments