Two Column Proofs With Circles - Geometry

This geometry video tutorial covers two column proofs with circles or you can call it circle proofs. It covers two basic examples. Theorems covered in this video are definition of perpendicular lines, right angle congruency, reflexive property, HL postulate, CPCTC, definition of segment bisectors, congruent arcs, & more.
Circles - Area, Circumference, Radius:
• Circles - Area, Circum...
Circles - Chords, Radius, & Diameter:
• Circles - Chords, Radi...
Lines, Rays, Line Segments, & Angles:
• Lines, Rays, Line Segm...
2 Column Proofs - Cong. Segments:
• Two Column Proofs of C...
Triangle Congruence - SSS, SAS, ASA:
• Triangle Congruence Th...
Central Angles and Circle Arcs:
• Central Angles, Circle...
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Tangent Lines and Secant Lines:
• Tangent Lines & Secant...
Circles - Central and Inscribed Angles:
• Circles, Angle Measure...
Tangent Tangent Angle Theorems:
• Tangent Tangent Angle ...
Inscribed and Circumscribed Polygons:
• Inscribed Polygons and...
Power Theorems - Chords, Secants, & Tangents:
• Power Theorems - Chord...
Circle Theorems:
• Circle Theorems
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Circles Review - Geometry:
• Circles - Geometry
Incenter, Circumcenter, and Orthocenter:
• Incenter, Circumcenter...
Distance Between Point and Line in 2D & 3D:
• Distance Between a Poi...
Area of a Triangle With Vertices:
• Area of a Triangle Wit...
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Coordinate Geometry:
• Coordinate Geometry, B...
Geometry Review - Study Guide:
• Geometry Introduction ...
Geometry Final Exam Review:
• Geometry Final Exam Re...
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Full-Length Videos and Worksheets:
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[@georgesadler7830]

MR. Organic Chemistry Tutor, thank you for great video on Two Column Proofs With Circles in Plane/Solid Geometry. I am really getting a full understanding of Two Columns Proofs in all of Geometry.

[@officialknuckle4433]

Thank you so much

[@jakub2645]

The statement 4 at 6:50 is incorrect. BD doesn't have to be perpendicular to AC to bisect AC, as chord AC is a diameter in this case.

[@TheOrganicChemistryTutor]

I agree. I was thinking in terms of this statement: If a diameter or radius is perpendicular to a chord, then it bisects the chord and its arc. Nevertheless, chord AC is a diameter since B is the center of the circle so automatically AB must be congruent with BC regardless if BD is perpendicular to AC or not. Thanks for bringing this to my attention.

[@FunnyClips0805-yt]

Can you also state that Ab and Cb are tangents because they form a right angle at a point on the circle and if two tangents meet up at the same exterior point then the lines are +?

[@jadegarcia8943]

In a geometry EOC, does the order of the statements and reasons matter?

[@MGL3000]

yes

[@bluekookie9486]

Why can't there actually write out the whole reason? Just like how smart people just assume you know what they're are talking about.

[@ar.es17]

fellow army @ maths, lets go!!