Free online courseGeometry Course

Course Description

Welcome to the Geometry Course, a comprehensive and in-depth program designed to provide a strong foundation in Geometry. With an engaging duration of 31 hours and 17 minutes, this course is meticulously crafted for students looking to solidify their understanding and prepare for high school geometry. It belongs to the category of Basic Studies and falls under the subcategory of Geometry.

This course begins by addressing the fundamental question: "Are you ready for High School Geometry?". It progressively builds upon topics starting from understanding points, lines, and planes, and moves forward to more complex areas such as measuring and constructing segments, and pairs of angles. You will gain a deep comprehension of perimeter, area, and circumference, and learn to utilize geometric formulas effectively.

As you delve deeper, the course will guide you through the intricacies of the coordinate plane, including transformations, midpoint, and distance calculations. The exploration of inductive and deductive reasoning, along with conditional statements and proofs, will enhance your logical thinking and problem-solving abilities.

The geometry of lines is thoroughly covered, from parallel, perpendicular, and skew lines to corresponding angles postulates. You'll learn about constructing various lines and segments, calculating slopes, and mastering point-slope form alongside graphing equations.

Triangles are a significant focus, where you'll classify triangles, understand the Triangle Sum Theorem, and work on congruence theorems like Side-Side-Side, Angle-Side-Angle, and more. The properties of congruent polygons and conditions for parallel and perpendicular lines are elucidated with practical exercises.

The course also navigates through the key theorems related to polygons and parallelograms. It covers a range of properties for rectangles, rhombuses, squares, and kites. Conditions and constructions using a compass and straightedge are integral parts of the learning process.

One cannot overlook the concept of similarity in geometry, which is extensively covered, including the dilation and proportionality theorems. Trigonometric ratios such as sine, cosine, and tangent are elaborated upon, along with their applications and inverse functions. You will also solve right triangles and explore the Law of Sines and Cosines.

Transformations in the coordinate plane capture various reflections, translations, and rotations, culminating in compositions of transformations and understanding symmetry. The study of circles is robust, addressing chords, secants, tangents, arc lengths, and inscribed angles. The comprehensive look into three-dimensional figures will help you classify and analyze their properties and volumes.

Towards the end, the course introduces probability and counting principles. You will delve into permutations, combinations, and various probability events, rounding out your geometric knowledge and analytical capabilities.

This expansive Geometry Course ensures a thorough understanding of each topic, preparing you for further mathematical studies and practical applications. Begin your geometric journey today and build a strong academic foundation with us!