Course Description
Imagine a world without shape or form, where chaos reigns, and the beauty of symmetry is absent. It's our uncanny ability to interpret the language of geometry that disentangles our perception and breathes order into our universe. Geometry 101 is not merely a course; it's an odyssey through the mathematical symphony that orchestrates the dance of points, lines, and planes, transforming the abstract into the tangible. This course is your gateway to unraveling the vast tapestry of spatial intelligence and leveraging it to enrich every facet of your life.
Step forward into a world where walls whisper stories of angles, where streets and skyscrapers pulse with the logic of lines and shapes. With Geometry 101, you are about to embark on an unforgettable journey, where your guide is not just knowledge, but the power to see the world through a lens of elegance and precision that only geometry can provide.
Each unit of this immersive course is crafted meticulously to weave a seamless tapestry from the rudiments of geometric principles to the nuanced symphony of spatial reasoning. You will begin your exploration with simple points and lines, nurturing your innate curiosity about how these simple constructs form the essence of everything. Soon, you will find yourself navigating the complex interplay of angles and intersections, developing the keen eye necessary to recognize the universe's subtle geometric rhythm.
Venturing into the realm of polygons, you will unravel the mystique of triangles and quadrilaterals, breathing life into these foundational forms. You'll learn to harness their properties, cultivating an understanding as timeless as the pyramids, as profound as the humble honeycomb's hexagonal perfection. This mastery will elevate your capacity to seamlessly transition to the more sophisticated art of constructing and deconstructing composite shapes--an architectural dance of creativity and logic.
The journey doesn't stop at two dimensions. With Geometry 101, you transcend the boundaries of the flat surface. Our exploration ascends into three-dimensional space, offering profound insights into the solid realities of spheres, polyhedra, and the kaleidoscopic interplay of planes. Learn to dissect complexity with clarity and precision, as you unravel the mysteries of volumes and surfaces that define not just objects but the very nature of the space they inhabit.
But why merely follow others? Why not grasp the reins of your geometric destiny and conjure your own constructs? Geometry 101 equips you with this power, taking you beyond theoretical realms to the time-honored art of classical construction. With a compass and straightedge, your sketches evolve from rudimentary lines to masterpieces of innovation and precise beauty--a dance of geometry that transcends mere calculation.
Geometry 101 isn't just about learning; it's about transformation. It's about cultivating a mindset that recognizes the unseen bonds between the abstract world of numbers and the tactile experiences of reality. By the end of this course, you'll possess not only the mathematical prowess to solve geometric conundrums but the confidence to apply this knowledge in real-world scenarios. Your newfound skills in trigonometry will embolden you to navigate a world layered with geometric challenges, whether in technology, design, or day-to-day problem-solving.
Choose Geometry 101 and don't just study geometry--inhabit it. Let it reshape your perspective, refine your talents, and redefine excellence. This course is not just an educational endeavor but the laying of fertile ground where curiosity flowers into mastery. Let Geometry 101 steer you toward the future you're dreaming of--join us, and transform the way you see, think, and shape the world around you. The path to enlightenment is geometric; let yours begin here.
- Completely Online
- Self-Paced
- 6 Months to Complete
- 24/7 Availability
- Start Anytime
- PC & Mac Compatible
- Android & iOS Friendly
- Accredited CEUs

Learning Outcomes
- Identify and describe fundamental geometric figures such as points, lines, rays, and planes by illustrating them accurately with examples.
- Recognize the importance of geometry in daily life, academia, and professional settings by providing three examples of practical applications.
- Define deductive reasoning and demonstrate deriving conclusions from given premises.
- Explain the importance of units in geometric measurement and demonstrate using arbitrary units for measurement.
- Recognize and construct a two-column proof for basic geometric problems.
- Demonstrate understanding of angle relationships and properties when a transversal intersects two parallel lines.
- Identify and calculate the measures of angles formed by intersecting lines using degree measurements.
- Calculate the length of a side in a right triangle using the Pythagorean theorem.
- Identify and classify triangles as equilateral, isosceles, or scalene based on side lengths and angles.
- Demonstrate congruence between two triangles using the hypotenuse-leg (HL) condition in right triangles.
- Recognize and justify the four conditions (SSS, SAS, ASA, AAS) for triangle congruence through geometric reasoning.
- Prove the similarity of any two given triangles by applying the appropriate conditions such as angle-angle, side-side-side proportionality, or side-angle-side proportionality.
- Demonstrate how to use geometric transformations to show two triangles are similar, including dilation and translation, within a structured problem-solving process.
- Demonstrate mastery of lesson content at levels of 70% or higher.
Assessment Guide
Assessment | Points |
---|---|
Lesson 1 Assignment | 1 points |
Lesson 1 Geometry Terms and Motivation | 10 points |
Lesson 1 Exercises | 5 points |
Lesson 2 Activity | 1 points |
Lesson 2 Geometric Reasoning and Measurement | 10 points |
Lesson 3 Angles and Parallelism | 9 points |
Lesson 4 Activity | 1 points |
Lesson 4 Triangles I: Properties of Triangles | 10 points |
Lesson 4 Exercises | 3 points |
Lesson 5 Activity | 1 points |
Lesson 5 Triangles II: Congruent Triangles | 10 points |
Lesson 5 Exercises | 3 points |
Lesson 6 Triangles III: Similar Triangles | 7 points |
Lesson 7 Quadrilaterals | 10 points |
Lesson 8 Polygons | 10 points |
Lesson 8 Exercises | 7 points |
Lesson 9 Activity | 1 points |
Lesson 9 Circles | 10 points |
Lesson 10 Composite Figures | 10 points |
Lesson 11 Classical Construction | 10 points |
Lesson 12 Activity | 1 points |
Lesson 12 Practical Geometry Problems | 10 points |
Lesson 13 Activity | 1 points |
Lesson 13 Three-Dimensional Geometry I | 10 points |
Lesson 14 Three-Dimensional Geometry II | 10 points |
Lesson 15 Geometry and Trigonometry | 10 points |
The Final Exam | 43 points |