This geometry video tutorial provides a basic introduction into triangle congruence theorems. It explains how to prove if two triangles are congruent using the SSS, SAS, ASA, and AAS postulate using two column proofs. Here is a list of topics contained in the statements and reasons of the two column proofs: Definition of midpoints, reflexive property, congruent angles, perpendicular lines, right angles, vertical angles, supplements of congruent angles, angle bisectors, triangles in circles, overlapping triangles, addition property of equality, segment addition, definition of congruent segments, and segment trisectors. This video contains plenty of examples and practice problems.
2 Column Proofs of Congruent Segments:
https://www.youtube.com/watch?v=cboityRIf4Q2 Column Proofs of Angles:
https://www.youtube.com/watch?v=kXcG6oYh3i8Triangle Congruence - SSS, SAS, ASA:
https://www.youtube.com/watch?v=jWHOF6cFbpwCPCTC - 2 Column Proofs With Triangles:
https://www.youtube.com/watch?v=eq1frp_ZyP8Median of a Triangle Formula:
https://www.youtube.com/watch?v=_JdkDR4R8E4Altitude of a Triangle - Orthocenter:
https://www.youtube.com/watch?v=oJyTKVcE4iM_____________________________________
Triangles, Medians, & Altitudes - Proofs:
https://www.youtube.com/watch?v=ZJ_gqFidInk2 Column Proofs - Isosceles Triangles:
https://www.youtube.com/watch?v=6Yx923Ocoh4Angle Side Theorem - 2 Column Proofs:
https://www.youtube.com/watch?v=mwcH3nhXtPQHypotenuse Leg Theorem - HL Postulate:
https://www.youtube.com/watch?v=DKSTjS0n3mYDetour Proofs - Double Triangle Congruence:
https://www.youtube.com/watch?v=1HOrB5yvEl0Missing Diagrams - 2 Column Proofs:
https://www.youtube.com/watch?v=IaqzuGweGZ8_______________________________________
Final Exams and Video Playlists:
https://www.video-tutor.net/Full-Length Videos and Worksheets:
https://www.patreon.com/MathScienceTutor/collectionsAbout the Site π
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Origins of the Idea π±
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Challenges Faced π€
Obtaining a large sample of videos was crucial for accurate ranking, but YouTube lacks a direct method to gather random video IDs.
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Creating Truly Random Links π οΈ
The YouTube API offers additional functions enabling the discovery of more random videos. Through inventive techniques and a touch of space-time manipulation, we've achieved a process yielding nearly 100% random links to YouTube videos.
About YouTube πΊ
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As of February 2017, over 400 hours of content were uploaded to YouTube every minute, with the site ranking as the second-most popular globally. By May 2019, this figure exceeded 500 hours per minute. π
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