Free online courseIntroduction to Geometry
Duration of the online course: 6 hours and 4 minutes
5
(6)
Master Geometry Basics with this comprehensive free online course covering congruence, angles, triangles, transformations, and more. Enhance your math skills today!
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.
Conteúdo do Curso
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Video class: Introduction to Geometry - 1 - Congruence and Naming Properties of Segments
0h07m
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Exercise: _If AB and CD are congruent line segments, and AB is equal to 6 centimeters, what is the length of CD?
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Video class: Introduction to Geometry - 2 - Naming and Classifying Angles
0h04m
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Video class: Introduction to Geometry - 3 - Congruence & Addition Properties of Angles
0h06m
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Video class: Introduction to Geometry - 4 - Special Angle Pairs
0h08m
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Exercise: _What are supplementary angles?
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Video class: Introduction to Geometry - 5 - Classifying Triangles by Sides
0h04m
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Video class: Introduction to Geometry - 6 - Classifying Triangles by Angles
0h05m
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Video class: Introduction to Geometry - 7 - Interior Angles of Triangles
0h03m
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Exercise: _What is the measure of angle ACB in a triangle if the measure of angle ABC is 30 degrees and the measure of angle BAC is 45 degrees?
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Video class: Introduction to Geometry - 8 - Two Triangle Inequality
0h05m
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Video class: Introduction to Geometry - 9 - Square and Square Roots
0h04m
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Video class: Introduction to Geometry - 10 - Right Triangles (Pythagorean Theorem))
0h04m
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Exercise: _What is the Pythagorean theorem?
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Video class: Introduction to Geometry - 11 - Special Right Triangles
0h04m
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Video class: Introduction to Geometry - 12 - Right Triangle Trigonometry
0h07m
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Video class: Introduction to Geometry - 13 - Transformations
0h05m
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Exercise: _What is the transformation that was applied to the letter F to get the new image?
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Video class: Introduction to Geometry - 14 - Parts of Congruent Triangles
0h08m
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Video class: Introduction to Geometry - 15 - Congruent Triangles SSS, SAS
0h04m
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Video class: Introduction to Geometry - 16 - Congruent Triangles ASA, AAS
0h05m
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Exercise: _What are the two methods of proving congruent triangles discussed in the lesson?
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Video class: Introduction to Geometry - 17 - Congruent Triangles HL
0h04m
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Video class: Introduction to Geometry - 18 - Properties of Isosceles Triangles
0h03m
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Video class: Introduction to Geometry - 19 - Ratios & Proportions
0h07m
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Exercise: _What is a ratio?
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Video class: Introduction to Geometry - 20 - Similar Triangles
0h06m
This free course includes:
6 hours and 4 minutes of online video course
Exercises to train your knowledge
Certificate of course completion
100% free, from content to certificate
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