Triangle Proportionality Theorem, Side Splitter Theorem & Angle Bisector Theorem - Geometry

This geometry video tutorial provides a basic introduction into triangle proportionality theorems such as the side splitter theorem and the triangle angle bisector theorem. It explains how to set up a proportion to find the missing sides of a triangle and to solve for x and y. It also explains how to calculate the distance between parallel lines that are cut by two transversals using proportions. This geometry video tutorial contains plenty of examples and practice problems.
Polygons:
• Polygons
Quadrilaterals:
• Quadrilaterals - Geometry
Skew Lines:
• Skew Lines, Perpendicu...
Points, Lines, Planes, & Segments:
• Points, Lines, Planes,...
Triangles - Basic Introduction:
• Triangles - Basic Intr...
Number of a Diagonals In a Polygon:
• Number of Diagonals In...
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Ratios and Proportions - Means Extreme:
• Ratios and Proportions...
Similar Triangles:
• Similar Triangles
Similar Triangles - Enlargement Ratios:
• Similar Triangles and ...
Triangle Similarity - SSS, SAS, & AAA:
• Triangle Similarity - ...
Altitude on Hypotenuse Theorem:
• Altitude on Hypotenuse...
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Pythagorean Theorem:
• Pythagorean Theorem
The Distance Formula:
• Distance Formula
Distance Between 2 Points - 3D:
• How To Find The Distan...
Final Exams and Video Playlists:
www.video-tuto...
Full-Length Videos and Worksheets:
/ collections

[@TheOrganicChemistryTutor]

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

[@josephdarcourt7393]

learned more in the first 2 minutes than the past week in geometry, thank you so much

[@lee_wei1227]

Sameee

[@JustThatGuy95]

U don’t pay attention in class?

[@bubzicle]

@@JustThatGuy95 shitty teacher

[@glitterat1899]

​@@JustThatGuy95 some ppl do pay attention they just don't understand and/or their teacher teaches it in a way that they can't understand

[@MKAnimates]

NICE

[@kyleronanmeintjes1512]

You are absolutely the best! You make the work much more easier to understand and I hope you never stop helping others with their math and science problems

[@applenibii6583]

Never stop, I apreciate you!

[@blessingsnachalwe5160]

You're the best man. You organize data systematically... And the explanations are clear... Keep it up man All the way from Zambia..👌🏼👍👍👏

[@helenday5031]

I didn't understand EVERY thing in this video (ie, last 2 minutes, I got a bit lost), but I learned so much useful stuff overall, including those generally useful (and sometimes indeed VITAL) maths techniques that OCT reminds us of and gives us practice on now and again, for which I am so grateful.

[@georgesadler7830]

MR. Organic Chemistry Tutor, thank you for another fantastic video/lecture on the Triangle Proportionality Theorem, Side Splitter and Angle Bisector Theorems in Plane/Solid Geometry. I found this topic a bit challenging, so I will continue to review this subject matter for a deep understanding.

[@haroondebela355]

Thank you so much. I am learning new things everyday with you!

[@kur0ki_]

you taught me more in 23 minutes than i did 2 months, thanks chemistry tutor

[@joaohax52]

This theorem's proof is too beautiful. You should make a video about it!

[@mitth_raw_nuruodo]

Correct me if I'm wrong but isn't its proof something that has to do with triangles?

[@joaohax52]

@@mitth_raw_nuruodo what do you mean?

[@mitth_raw_nuruodo]

@@joaohax52 the proof of the theorem involves triangles, right?

[@joaohax52]

@@mitth_raw_nuruodo yes since the theorem itself involves triangles

[@sherzodchulliyev9163]

Thales Theorem - paralles lines divide triangle sides proportionally. You can't use size-split theorem for parallel lines. Angle bisector theorem - if a ray bisects the angle, the opposite side is proportional to its adjacent sides

[@ThatRandomBlenderGuy]

so helpful wouldnt have passed if I hadnt watched this!

[@a2archer165]

Just do the top bottom method 8 over 12 =6 over x then cross multiply 8x= 72 then divided by 8 on both sides giving you 9

[@georgefrancis9587]

Thanks alot man ! I appreciate your hard work !

[@RahulSharma-ph1qu]

Thank you!

[@u1k0n7n2]

Helped a lot. Thanks

[@j4y4rmda4]

you jus saved me from failing 🙌🏾

[@henokneguse8614]

You are brilliant teacher all of

[@kavyasoni887]

Why does 8y change to 14y in question 3

[@SahilKumarAneja]

The side splitter theorem is the converse of the triangle proportionality theorem. Would it have been more accurate to have written Triangle Proportionality Theorem up top when explaining that problem?

[@ladyamael9935]

please start making tutorial videos for college students i pass my GCE with A s thanks to you but i need you again

[@lancefranzhontiveros1378]

I hope that i could get some high score thank you for everything you made my day!

[@singhsaurabh6101]

Thanks

[@m1s38]

Thx I really needed this and it really helped

[@theoyanto]

Thanks 👍🏻

[@dogperson4793]

my teacher looking at me watching this video finally understanding everything after he just teached me this for a month: 😃

[@savageentertainment6091]

thank u!

[@BrytenBao]

Thanks for the amazing video, but at 9:20 the video doesn't show the final answer for the sum of both x and y. I wonder if someone can help me with this.

[@magicjohn6971]

You help so much thank you

[@ladykagura1403]

Thank you God bless you Sir ^^

[@MesfinKidane-o6s]

i love it😊

[@lunganishoba7111]

what chnged the the 8y to 14y?

[@rudy4111]

Thanks !!!!

[@No-one1209]

Thannnnnnnkkkkk youuuuuuuuuu

[@triple_gem_shining]

for the 2nd to last problem i have an easier way to calc it. Set 8/x = 26(total of left side)/65(total of right side) = 26x=520 =520/26=DF=20 :)

[@rickastley5900]

Idk if you know that 17 whole egyptian schools completely depend on you

[@renalm8160]

Stem?😂

[@rickastley5900]

@@renalm8160 yup

[@szarinamusic]

i love you

[@ingoflamingo1259]

YES THANK YOU SO MUCHCHCHCHV

[@dylanubas6796]

8:44, if you only know that CB=12, EC and DB are equal, and that AE=16, how do you find AC?

[@a2archer165]

He makes this so complicated

[@samburdge9948]

In the first example......why is the longest length AB and BC written on top.....and why is it written AB......bottom to top and BC is writen bottom to top

[@أحمدحمودة-ق4ش]

Pove the theorem of angle bisector and proportional parts pls

[@thewholesomechad9649]

youre a pretty cool fella

[@h0p3fully0]

3:21 side splitter theorem

[@ΠετροςΝικου-β5δ]

Side splitter theorem cross multiple

[@samburdge9948]

How is it possible that AB and CB are not the same length?

[@natalievenegas8669]

16:29

[@siragan4369]

Not - the side fluid theorem, but -the side splitter theorem.. I assume that is what you meant to say???

[@wendykgosi149]

All of a sudden there’s a 14y. This guy is nuts.

[@triple_gem_shining]

yea the video cuts off on the most complex question. ugh

[@wendykgosi149]

@@triple_gem_shining I wonder if he realised shame probably not. editing glitch maybe .

[@thezedkay]

Hi, what does it mean by "similar", does it mean that they are same?

[@niamhmcauliffe7745]

angles are congruent and sides are proportional (they have the same shape) eheh

[@thezedkay]

@@niamhmcauliffe7745 thank you

[@thevillager7310]

9:21 who realized that he start all over again?

[@kalle7533]

🥺❤️

[@treywilliams3447]

I thought parellel dont intersect

[@stinkyradish6935]

trey Williams they dont but the transversal (which are the lines that intersect parallel lines) do

[@T-stain]

5:12

[@creamysauce7966]

i dont understand how to set up ratios

[@fencoir245]

this is very time consuming, please help

[@triple_gem_shining]

look at the example of the side splitter theorem and the ratios used. then apply the same ratios in the smae place to the new problem and finish with algebraic arithmetic.

[@ElLeanBean]

8:21 someone died... siren*

[@1appa914]

Vera...

[@behramshah1]

Tee hee it’s says 69 2:50

[@MeteorJunk]

shut up, go back to Reddit.

[@skinnybonesjonestheallseei74]

Z

[@liz-uy8xf]

I didn't understand anything. U were talking too fast

[@thiccmcchicken550]

Who’s here after EDP’s “apology”

[@blessingsnachalwe5160]

You're the best man. You organize data systematically... And the explanations are clear... Keep it up man All the way from Zambia..👌🏼👍👍👏

[@ornelassilva6690]

@Terry Park why ?

[@jamesfishmanyeet1157]

@@ornelassilva6690 hes spamming it on every video

[@sachinthapa6209]

Thanks a bunch

[@mmoonchild276]

Thanks