Geometry
This course covers 8 foundational Geometry units. Topics include angles, parallel lines, triangles, polygons, similarity, quadrilaterals, special right triangles, areas of 2D shapes, properties of circles, trigonometry, surface area & volume.
Each unit builds on the previous one with a self-paced structure and detailed solutions.
8
units
250
pages
1,500
exercises
Unit 1 | Points, Lines & Angles
• Points & Lines • Midpoint • Segment Length & The Distance Between 2 Points • Types of Angles • Complementary & Supplementary Angles • Parallel Lines & Transversals • Perpendicular Bisector
Unit 2 | Triangles, Similarity & Polygons
• Types of Triangles • Similar Triangles • Parallel Line Similarity • Triangle Midsegments • Medians, Perpendicular Bisectors & Altitudes • Similar Right Triangles & The Geometric Mean • Polygons • Interior & Exterior Angles of Polygons
Unit 3 | Quadrilaterals
• Types of Quadrilaterals • Parallelograms • Proving a Quadrilateral is a Parallelogram • Rhombuses (or Rhombi) • Rectangles • Trapezoids • The Median of a Trapezoid • Kites • Similar Quadrilaterals • Classifying Quadrilaterals with Coordinate Geometry
Unit 4 | Special Right Triangles
• The Pythagorean Theorem • The Distance Between Two Points • A Special Right Triangle in a Square • The 45-45-90 Triangle • A Special Right Triangle in an Equilateral Triangle • The 30-60-90 Triangle • Right Triangle Scenarios • Classifying Triangles with the Pythagorean Theorem
Unit 5 | Areas of 2D Shapes
• Area of a Square & Rectangle • Area of a Right Triangle • Area of a Parallelogram • Area of a Rhombus • Area of a Non-Right Triangle • Area of a Trapezoid • Area of a Regular Polygon • Area of a Shaded Region • Area Ratios of Similar Figures
Unit 6 | Circles
• The Measure of an Arc • Central Angles & Inscribed Angles • Inscribed Quadrilaterals • The Circumference of a Circle • Arc Length • The Area of a Circle & a Sector • Angles Inside a Circle • Angles Outside a Circle • Perpendicular Tangents & Chords • Intersecting Chords, Secants & Tangents • The Equation of a Circle
Unit 7 | Right Triangle Trigonometry
• Types of Quadrilaterals • Parallelograms • Proving a Quadrilateral is a Parallelogram • Rhombuses (or Rhombi) • Rectangles • Trapezoids • The Median of a Trapezoid • Kites • Similar Quadrilaterals • Classifying Quadrilaterals with Coordinate Geometry
Unit 8 | Surface Area & Volume
• 3-Dimensional Shapes • Surface Area of a Prism • Surface Area of a Cylinder • Surface Area of a Pyramid • Surface Area of a Cone • Surface Area of a Sphere • Volume of a Prism • Volume of a Cylinder • Volume of a Pyramid • Volume of a Cone • Volume of a Sphere • Volume Ratios of Similar Figures