Free online courseIntroduction to Geometry

Course Description

"Introduction to Geometry" is an engaging and comprehensive course that spans 6 hours and 4 minutes. With an impeccable average rating of 5 stars, this course caters to learners who are new to the fascinating world of Geometry, falling under the Basic Studies category and specifically within the Geometry subcategory.

The curriculum is thoughtfully organized to ensure a deep understanding of geometric concepts. Beginning with foundational topics like congruence, naming properties of segments, and classifying angles, the course gradually progresses to more complex subjects. This methodical approach helps students build a solid foundation before tackling advanced concepts.

One of the early topics covered is the classification of triangles, which is broken down by sides and angles, giving learners the tools to identify various triangle types with confidence. The course also delves into the intricacies of interior angles, triangle inequalities, and right triangles, underpinning these lessons with essential theorems like the Pythagorean Theorem.

Special right triangles and trigonometry form part of the midpoint of the course, introducing students to transformation concepts and the properties of congruent triangles. Several segments focus on the criteria for triangle congruency such as SSS, SAS, ASA, AAS, and HL, ensuring students can ascertain congruency through different methods.

The latter half of the course shifts focus to polygons, parallelograms, trapezoids, and circles. Practical skills are emphasized through lessons on graphing, the distance formula, and the slope of a line. The course also covers coordinate geometry, including the midpoints, equations of lines, and solving systems of equations.

Students will also explore parts and properties of circles, such as secants, tangents, arcs, and angles. This segment not only enhances geometric understanding but also facilitates practical applications in various fields. The culmination of the course is a detailed investigation into areas and volumes of geometric shapes including rectangles, squares, parallelograms, triangles, trapezoids, circles, prisms, cylinders, pyramids, and cones.

"Introduction to Geometry" stands out for its structured approach and breadth of content. It methodically covers essential and advanced topics, preparing students for further studies or practical applications in Geometry. This course is perfect for anyone looking to grasp the fundamentals and beyond, supported by its excellent ratings and comprehensive content.