This video tutorial provides a basic introduction into CPCTC geometry proofs. CPCTC stands for "corresponding parts of congruent triangles are congruent" It's the step that comes right after proving the congruence of two triangles. Some triangle congruence theorems you need to know are the SSS, SAS, ASA, and AAS postulates - examples of which are all covered in this lecture. This video contains plenty of practice problems on two column proofs. Topics include midpoints, parallel lines, perpendicular lines, right angles, reflexive property, addition and subtraction property of equality, definition of congruent segments, segment addition, congruent angles, vertical angles, circles & radii, base angle theorem, angle bisectors, segment bisectors, overlapping triangles, and alternate interior angles.
2 Column Proofs of Congruent Segments:
https://www.youtube.com/watch?v=cboityRIf4Q
2 Column Proofs of Angles:
https://www.youtube.com/watch?v=kXcG6oYh3i8
Triangle Congruence - SSS, SAS, ASA:
https://www.youtube.com/watch?v=jWHOF6cFbpw
CPCTC - 2 Column Proofs With Triangles:
https://www.youtube.com/watch?v=eq1frp_ZyP8
Median of a Triangle Formula:
https://www.youtube.com/watch?v=_JdkDR4R8E4
Altitude of a Triangle - Orthocenter:
https://www.youtube.com/watch?v=oJyTKVcE4iM
_____________________________________
Triangles, Medians, & Altitudes - Proofs:
https://www.youtube.com/watch?v=ZJ_gqFidInk
2 Column Proofs - Isosceles Triangles:
https://www.youtube.com/watch?v=6Yx923Ocoh4
Angle Side Theorem - 2 Column Proofs:
https://www.youtube.com/watch?v=mwcH3nhXtPQ
Hypotenuse Leg Theorem - HL Postulate:
https://www.youtube.com/watch?v=DKSTjS0n3mY
Detour Proofs - Double Triangle Congruence:
https://www.youtube.com/watch?v=1HOrB5yvEl0
Missing 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/collections