Power Theorems - Chords, Secants & Tangents - Circle Theorems - Geometry

This geometry video tutorial provides a basic introduction into the power theorems of circles which is based on chords, secants, and tangents. It covers the chord chord power theorem, the secant tangent power theorem, and the secant secant power theorem. The chord chord power theorem states that the product of the segments of two intersecting chords are equal. The secant tangent power theorem states that the square of the tangent segment is equal to the product of the secant and the external part of the secant segment when the tangent of the circle and the secant of the circle extend from a common endpoint outside of the circle. The secant secant power theorem states the products of the secants and the external part of the secant segments are equal. This geometry video contains plenty of examples and practice problems on circle theorems.
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...
Circle Theorems:
• Circle Theorems
_________________________________
Two Column Proofs With Circles:
• Two Column Proofs With...
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...
________________________________
Coordinate Geometry:
• Coordinate Geometry, B...
Geometry Review - Study Guide:
• Geometry Introduction ...
Geometry Final Exam Review:
• Geometry Final Exam Re...
Final Exams and Video Playlists:
www.video-tuto...
Full-Length Videos and Worksheets:
/ collections

[@TheOrganicChemistryTutor]

Final Exams and Video Playlists: www.video-tutor.net/

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just got curious.... why are they called "power" theorems?

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[@TheOrganicChemistryTutor]

Here is one: kzbin.info/www/bejne/p5alqpuKe52Ke9k Here is a quiz on quadratic equations: kzbin.info/www/bejne/nHepcmqHacqJq7s

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The problem at 10:28, I did it in another way. What I did, was I set x as DB. This made my equation: sqrt(9x)=12 If I were to solve this, I would get 16 as my answer. So, now we know that the length of the entire sequent line is 16. To find the length of DC we subtract 9 from 16 to get 7. Just another method.

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[@georgesadler7830]

MR. Organic Chemistry Tutor, thank you for an awesome video/lecture on the Power Theorems, Chords, Secants and Tangents/Circle Theorems in Solid Geometry. Memorizing formulas will help with finding analytical solutions.

[@x3woots]

Thank you for the big brain techniques

[@eunicebugaian1397]

Thank you! You helped me with my lesson.i had an example with two chords intersecting and the exercise required was not exactly as the examplein the manual so, thank you again!!!

[@NadzlaHassan]

Great video!

[@yourstruly7086]

For a•b=c•d. When they ask for the length of ab, would you add the two products or multiply them? (Say a=5 and b=3, would the length be 8 or 15?)

[@luketeichert9700]

The total length of that segment would be 8 (you add them), but the theorem states that if you multiply them together (a*b) then they will equal the product of multiplying the two segments from the other chord together (c*d)

[@yourstruly7086]

Luke Teichert thank you

[@koophoria9378]

19:38 what if the d is placed along the lines of the circle and AF and DC is missing? Will I still use the chord chord theorem and should I use the secant secant theorem instead of the secant tangent theorem?

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very nice and useful video,.

[@sidrayounus9764]

Thankyou so much this helped a lot

[@clarencecueto9018]

What if the secant extends longer than the figure, will the 2nd external part be included in the formula?

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8:56 you blocked my brain

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This helped me a ton. Thank you!

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Wow thank you bro

[@CrustyRusty14]

My teacher gave me activities and I'm having problem on the chord-chord part.... I followed the steps until having to factor them. The quadratic equation is x^2-24x+72 = 0 Is there a multiple of 72 that adds up to 24?

[@randomstranger6577]

It's a bit late but for anyone here, it's crucial to notice here that its negative 24 not positive 24

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[@esa9289]

Hi! Thank you for sharing your knowledge! Can we use this video for our research as one of our sources? Surely we will greatly appreciate your consent and we’ll make sure to cite your video properly. Thanks!

[@chineseeyese.242]

got lost when c became a and d became b

[@ملهمالالعقيلي]

THANK YOU

[@2to3whiteguys]

Bro it’s the geometry regent tomorrow and I’m just learning this shit

[@Fofo-bf1qu]

Thank you for everything but does it matter when to use t squared=es or t square root of es?

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Exactly what I needs

[@riedki009]

In the secant secant problems, is there a way to calculate the chords AE or BD?

[@Matt-pb5pf]

Thank you sir

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Thanks a lot!

[@ginagudoy5670]

I dont get the part when you need to factor the solution

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literally my 2nd math teacher

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Bro why you need to find 4 in second theory? -8 +12=4 is it because ED is 4?

[@hahahahahahahahahahahahaha1597]

helpful

[@yuvrajsingh8960]

4:00, you wrote the wrong posiitons for A, C and D and said somethign different from what you wrote @TheOrganicChemistryTutor

[@rgbungee1420]

At 18:38 how come did x-8=0 became x=8 and x+12 became x=-12 when 8 is negative and 12 is positive pls explain to me thanks

[@yaraalkilani5632]

That's what i thought im pretty sure the answer cant be negative

[@mekachigacha5044]

Is improper fractions answers allowed?

[@amanrobetsganj9618]

Of which class is this??

[@faithmagallanes3010]

Is this kind of formula t^2= BC . BD you're using?

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[@yesimtaco6689]

just a quadratic equation, ez af lol

[@tastylemon602]

Bruh its so easy

[@j-man4231]

Once you understand the concept of quadratics, it becomes very easy. However, if your understanding isn't up to those standards, which is fine, the problem becomes hard.

[@juchellesantos8637]

Tnx

[@cy-taku3952]

12:48 wait i dont get this part +20 and -5 HOW IS THAT 15 PLEASE HELP

[@doughnut4786]

so case 2 is the special case of case 3?

[@iheartsukuna22]

What if, in secant-secant, you need to find x but you can’t since it’s not factorable. What should I Do?

[@PegasusTenma1]

Quadratic formula

[@prasannababurajprasa5378]

thank uu

[@elimekka8018]

18:24 why did you change the signs?

[@vibhasnovli8047]

Ur amazing

[@anan1552]

me watching this on 1.75 speed when like half of my assignments on this are due within 5 hours

[@johnmichaelmiranda6475]

How did he got the a×b=c×d?

[@sanest]

How about when the intersecting s scants have things like 5x + 2

[@zenmarcusrodas8676]

I came from learning chords on guitar and learned math real fast hahahaa

[@angelps7173]

😄😂😂

[@Shinpatintantoun_uwaaa1]

How was 27.71 gotten in the first part? Sorry, slacked in 6th grade Math and now I'm paying the price

[@hectic_student]

I think you just mistype the "ab=cd", it should be "ab=ed".

[@saberboi1526]

this is really irritating me, I get how to do it but I am given stuff like x+2 and it is throwing me through a loop. What would you do in that case. I have solved my issue......

[@ricardovao.3479]

Same

[@nobodynobodynobodynobodyno3846]

ur profile pic is digusting and creepy. Thanks.

[@saberboi1526]

@@nobodynobodynobodynobodyno3846 youre welcome

[@kobelituanas8050]

13:12 why can't be the negative number of x be the value of segment CB?

[@farazriyaz9078]

Just think about it. Can you imagine a line being negative?

[@rakeshgiri1533]

i want proofs of these theorems.....

[@suryajandhyala]

Yea

[@muskrat1910]

One question can chord segments be decimal?

[@ericaarita4809]

Same question ugh

[@farazriyaz9078]

Afaik, of course they can be decimal or irrational or any positive real number for that matter. No one's stopping you. But they would make for long and tedious problems.

[@rczy4871]

The solution is very fast I can't get it