where students teach themselves
A comprehensive geometry curriculum
Geometry for School and Home
1.3 - Intersecting Lines
1.4 - Planes
1.6 - Intersecting, Parallel, and Skew
1.7 - Points and Lines on the Coordinate Plane
1.8 - The Slope of a Line
1.9 - Parallel Lines on the Coordinate Plane
1.10 - Distance on a Number Line
1.11 - Number Lines and Measurement
1A - Measuring Distance with a Ruler
1.12 - Line Segments
1.13 - Addition and Subtraction of Line Segment Lengths
1.14 - Transformational Geometry
1.15 - Congruence of Line Segments
1B - Construction: Line Segments
1.16 - Midpoints and Bisectors of Line Segments
1C - Construction: Midpoints
1D - Construction: Using Midpoints
2.2 - Rotation of a Ray
2.3 - Measuring Rotation
2.4 - Angles
2.5 - The Degree Measure of an Angle
2.6 - Measuring Angles
2.7 - Making an Angle with a Given Measure
2.8 - Angle Measures and Congruent Angles
2A - Construction: Congruent Angles
2.9 - Adjacent Angles
2B - Construction: Adjacent Angles
2.11 - Complementary Angles
2.12 - Supplementary Angles
2.13 - Linear Pairs and Vertical Angles
2.15 - The Bisector of an Angle
2.16 - Perpendicular Lines
2.17 - Perpendicular Bisectors
2.18 - Perpendicular Lines on the Coordinate Plane
2.19 - Perpendicular and Parallel Postulates
2D - Construction: Perpendicular Bisectors
2E - Construction: Perpendicular Lines
2F - Construction: Parallel Lines
2.20 - Points and Geomtric Conditions
2.21 - Locus
4.1 - Inductive Reasoning
4.3 - Inductive and Deductive Reasoning
4.4 - The Measures of the Angles in a Linear Pair
4.5 - The Measures of Vertical Angles
4.6 - Parallel Lines and Angles Measures
4.7 - Angle Measures and Parallel Lines
4.8 - The Sum of the Measures of Angles of a Triangle
4.9 - Angles in Triangles, Linear Pairs, Vertical Angles
4.11 - The Measures of Angles in Isosceles Triangles
4.12 - Triangle Side and Angle Inequalities
4.15 -Exterior Angles of Polygons
4.16 - Exterior Angles of Triangles
4.17 - Angles of Trapezoids and Parallelograms
4.18 - Diagonals and Angles in Parallelograms
4.19 - The Triangle Inequality
4A - Construction: Parallel Lines Using Congruent Angles
4.20 - Midsegments in Triangles
4.21 - The Midsegment of a Trapezoid
4.22 - The Lengths of Sides of Parallelograms
4.23 - Lengths of Diagonals of Parallelograms
3.2 - Measurement of Polygons
3.3 - Classifying Polygons
3A - Construction: Regular Polygons
3.4 - Regular Polygons: Central Angles
3.5 - Isometries of Polygons
3B - Geometric Transformations: Isometries of Polygons
3.6 - Isometries of Polygons: Translations
3.7 - Isometries of Polygons: Reflections
3C - Reflectional Symmetry
3.9 - Isometries of Polygons: Rotations
3.10 - Rotational Symmetry
3.11 - Coordinate Geometry: Transformations of Polygons
3.12 - Classifying Triangles: Congruent Sides
3.13 - Classifying Triangles: Angles
3.14 - Coordinate Geometry: Identifying Right Triangles
3.15 - Medians of a Triangle
3.16 - Altitudes of a Triangle
3D - Construction: Triangles
3E - Construction: Medians of Triangles
3F - Construction: Altitudes of Triangles
3.18 - Classifying Quadrilaterals: Parallel Sides
3.19 - Classifying Quadrilaterals: Congruent Sides
3.20 - Classifying Quadrilaterals: Right Angles
3.21 - Quadrilaterals: Most Descriptive Classification
3.23 - Coordinate Geometry: Classifying Quadrilaterals
3.22 - Classifying Quadrilaterals
5.1 - Congruent Triangles
5.2 - Pairs of Congruent Sides and Angles in Triangles
5.3 - Included Sides and Angles in Triangles
5.4 - Conditions for Congruence in Triangles
5.5 - Using Conditions to Determine Congruent Triangles
5.6 - Conditionals
5.7 - Converse, Inverse, and Contrapositive
5.10 - Proof
5.12 - Congruent Triangle Proofs: Two Column
5.13 - Definitions and Theorems in Proofs: Flow Chart
5.15 - Parallel Lines in Congruent Triangle Proofs
5.16 - Congruent Triangle Proofs: Paragraph
5.17 - CPCTC
5.18 - Indirect Proof
5.19 - Using CPCTC: Flow Charts
5.20 - Using CPCTC: Two Column
5.21 - Quadrilateral Theorems
Geometry Worksheets for School and Home
Table of Contents
6.1 - Ratio in Geometry
6.2 - Proportions in Geometry
6.4 - Parallel Lines and Proportions
6.5 - Proportions in Triangles: Angle Bisectors
6.6 - Dilations of Polygons
6.7 - Dilations and Measurement
6.9 - Scale Factor
6.11 - SSS Postulate for Similar Triangles
6.10 - Determining Similar Polygons
6.12 - SAS Postulate for Similar Triangles
6.15 - Similar Triangles Proofs
6.16 - Parallel Lines and Similar Triangles Proofs
6.17 - CASTC
6.18 - CSSTP
6.19 - The AA Postulate and Proportions
6.13 - AA Postulate for Similar Triangles
6.21 - Similar Right Triangles and the Geometric Mean
6.22 - Similar Triangles: Altitudes, Medians. and Angle Bisectorts
6A - The Geometric Mean
7.1 - Lengths of Sides in Right Triangles
7A - Factor Trees and Simplifying Square Roots
7.3 - The Pythagoream Theorem: Exact Answers
7.5 - The Pythagorean Theorem:Rectangles and Triangles
7.8 - Using the Isosceles Right Triangle Theorems
7.9 - The Pythagorean Theorem and 30-60 Right Triangles
7.10 - Using the 30-60 Right Triangle Theorems
7.12 - Trigonometric Ratios
7.13 - Angle Measure and Trigonometric Ratios
7.14 - Values of Trigonometric Ratios
7.15 - Solving Trigonometric Equations
7.16 - Choosing Trigonometric Ratios
7.17 - Trigonometric Inverses
7.20 - The Law of Sines
7.4 - The Pythagorean Converse
7.18 - Solving Right Triangles
7.6 - The Pythagorean Theorem and Rectangular Solids
8.2 - Area: Congruent Polygons, Addition and Subtraction
8.3 - Area of a Rectangle
8.4 - Area of Rectangular Regions
8.6 - Area of a Triangle
8.7 - Area of a Trapezoid
8.8 - Area of a Rhombus and Area of a Kite
8.9 - Area of Regular Polygons
8.11 - Areas of Equilateral Triangles and Regular Hexagons
8.12 - Area and Perimeter of Polygons
8.14 - Geometric Probability
8.15 - Polyhedrons
8.16 - Surface Area of Polyhedrons
8.17 - Prisms
9.18 - Surface Area of Prisms
8.19 - Pyramids
8.20 - Surface Area of Regular Pyramids
8.13 - Ratio and Areas of Similar Polygons
8.21 - Volume
8.22 - Volume of Rectangular Solids, Cubes, and Prisms
8.24 - Ratio of Volumes of Polyhedrons
9.4 - Classifying Quadrilaterals: Slope and the Distance Formula
9.5 - Diagonals of Quadrilaterals: Coordinate Geometry
9.9 - Algebraic Coordinates and Slopes of Lines
9.10 - Coordinate Geometry: Parallel and Perpendicular Lines
9.12 - Coordinate Geometry: Congruent Line Segments
9.13 - Algebraic Coordinates and Midpoints
9.14 - Coordinate Geometry: Bisecting Line Segments
9.15 - Coordinate Geometry: Classifying Polygons
9.16 - Coordinates for Polygoins
9.18 - Coordinate Geometry Proof (Slopes and Midpoints)
9.1 - Distance on the Coordinate Plane
9.7 - Algebra and Coordinate Geometry
9.8 - More on Algebraic Coordinates
9.6 - Classifying Triangles by Angles: Distance Formula
10.1 - Circles
10.2 - Postulates and Theorems for Circles
10.4 - Tangents and Secants
10.5 - Common Tangents and Tangent Circles
10.6 - Tangent Segments
10.7 - Central Angles and Arcs
10.8 - Degree Measure of Arcs
10.9 - Arc Measures
10.10 - Intersecting Lines and Circles, Angles and Arcs
10.12 - Vertical Angles in a Circle and Arc Measures
10.14 - Circumference of a Circle
10.16 - Area of a Circle
10.18 - Areas with Circles
10.19 - Surface Area of Right Cylinders, Cones, and Spheres
10A - Pi
10.15 - Arc Length
10.20 - Volume of Cylinders, Cones, and Spheres
10.22 - Equal Products: Intersecting Secants
10.23 - Equal Products: Intersecting Secant and Tangent
10.11 - Measure of Inscribed Angles