Free online courseGeometry

Course Description

The course titled "Geometry" is an enriching educational experience designed to provide a comprehensive understanding of fundamental and advanced geometric concepts. With a total duration of 15 hours and 25 minutes, this course is meticulously crafted for students within the Basic studies category, specifically focusing on the subcategory of Geometry.

One of the highlights of this course is its outstanding rating. Averaging a remarkable 5 out of 5 stars, it stands as a testament to the high-quality content and effective teaching methodology. This course is ideal for learners seeking a structured and in-depth exploration of Geometry, from basics to more complex topics.

The course begins with an insightful introduction to Euclidean geometry, paying homage to Euclid, the father of geometry. It then delves into the basic geometrical language and labels, providing a solid foundation for understanding and communicating geometric ideas effectively.

As students progress, they engage with more intricate topics such as lines, line segments, and rays, along with the essential language and notation surrounding circles. The course also thoroughly covers angle basics, including how to measure angles in degrees and using a protractor, leading to practical applications like complementary and supplementary angles, and vertical angles.

Further along, learners will tackle the intriguing concepts of angles formed by parallel lines and transversals, and expand their understanding through various proof exercises, including the sum of measures of angles in a triangle, and challenging triangle angle problems. This section reinforces the idea that geometric principles are interconnected and can be demonstrated through logical reasoning.

The exploration of congruent triangles, their properties, and related proof techniques is another critical aspect of the course. It dives into different triangle congruence postulates and provides hands-on examples to reinforce these concepts. Topics like the sum of exterior angles of polygons, equilateral triangles, and isosceles triangles are covered in detail, each building on the learner's growing understanding.

Additionally, the course offers an extensive look at perimeter and area calculations, including proofs and advanced problems, such as the fascinating Koch snowflake fractal. Similarity and its related postulates are carefully explored, providing learners with the tools to solve complex similarity problems and apply these concepts in various geometric scenarios.

Right triangles and trigonometry form another essential component, with engaging lessons on specific triangle side ratios and intriguing topics like the golden ratio. The course also addresses important properties and theorems related to circles, special properties of triangles, and quadrilaterals, culminating in an in-depth study of the Euler line and its proofs.

This comprehensive course does not merely present geometric principles; it immerses learners in a systematic and logical approach to understanding the intricacies of Geometry. Every topic is designed to build on previous knowledge, ensuring a cohesive and cumulative learning experience. It is a quintessential course for those aspiring to master the beauty and precision of geometric thinking.