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Triangle Similarity - AA SSS SAS & AAA Postulates, Proving Similar Triangles, Two Column Proofs

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This geometry video tutorial provides a basic introduction into triangle similarity. it explains how to use two column proofs in order to prove if two triangles are similar using the mostly the AA postulates. Other triangle similarity postulates mentioned are the AAA, SSS, and SAS postulates. Theorems used in this video include the base angle theorem, theorems associated with parallel lines, alternate interior angle theorem, vertical angles, reflexive property, definition of an altitude, right angle congruence, and more. This geometry video contains plenty of examples and practice problems on triangle similarity.
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...
___________________________________
Ratios and Proportions - Means Extreme:
• Ratios and Proportions...
Similar Triangles:
• Similar Triangles
Similar Triangles - Enlargement Ratios:
• Similar Triangles and ...
Triangle Proportionality Theorem:
• Triangle Proportionali...
Altitude on Hypotenuse Theorem:
• Altitude on Hypotenuse...
___________________________________
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

Опубликовано:

21 авг 2024

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Комментарии : 302

@TheOrganicChemistryTutor 7 месяцев назад

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

@chrisx0293 4 года назад

Who has a test tomorrow and doing this shit last minute

@joeshmoe6908 4 года назад

ChrisX02 Bruh i gotta quiz 2morrow on this shit, idk any of it, wait shit its 12 am its fuckin 2day.

@Agent-gi4qv 4 года назад

Midterms are tomorrow lol

@evanknowles9855 4 года назад

Yup

@coala9267 4 года назад

me.

@octaviagray924 4 года назад

ChrisX02 definitely me

@heim8t 3 года назад

0:00 AAA postulate 1:27 AA Postulate 2:32 SSS Postulate 3:38 SAS POsutulate 4:50 examples SSS 6:30 another exmlpe sas 9:00 trapezoid 13:40 16:43

@10kwithnovideochallengemem91 3 года назад

Tysm

@zeniffdejito261 3 года назад

thanks!

@charu2059 3 года назад

Thanks.

@aidind 2 года назад

thankss

@Bkboy911 2 года назад

Thx

@erreinead4766 4 года назад

Much helpful than my boring math teacher, I lack motivation and with boring classes I can't focus. Thanks alot!

@rence2006 3 года назад

The teacher replied: what did you just say?

@onoken4531 3 года назад

Yeah my teacher is kinda boring

@abdarraffaykamran3896 2 года назад

Same here

@NiTeLightYears 8 месяцев назад

Teacher: Jit, I don't care. I'm not paid enough for this

@JimmyKim-fb1ji 7 месяцев назад

There all the teachers be here for the pay check and put bare minimum effort to not get fired smh

@theoretically_true151 2 года назад

If anyone is confused at 22:00, he wrote “sides” but meant “angles.”

@terry1989 5 месяцев назад

Thanks

@itscriispy 3 года назад

this yt channel is my savior, no annoying intros or unnecessary stuff, right to the point and does a very good job explaining :)))

@boonkers9175 7 месяцев назад

shut up nerd

@amyvelasquez-qu9nl 5 месяцев назад

Me too

@georgesadler7830 2 года назад

MR. Organic Chemistry Tutor, thank you for another great video/lecture on Triangle Similarity, Postulates, Proving Similar Triangles and Two Column Proofs. All these topics worked together side by side in Geometry. Using theorems. postulates, and definitions over and over will only improve my understanding of Geometry.

@ruthcabajes4500 5 лет назад

this guy really helped me in my science and math

@zemo8857 6 лет назад

I’ve always wanted to tell you thank for your amazing videos. Especially with physics so thank so much❤️.

@GamersThroneHub 11 месяцев назад

He is really amazing

@user-pj9sf8he8i 4 года назад

everyone is understanding this and then theres me just not knowing wtf goin on 🙃

@elijahprince3597 3 года назад

sameeeeeeeeeeeeeeeeeeeeeeeeeeee

@spicytaco5975 3 года назад

you aint alone

@daghees 3 года назад

I dont get how I'm not stupid but I just dont understand anything

@Sterbann 3 года назад

@@daghees agreed

@astheriellemercadejas3405 3 года назад

I'm here.

@GamersThroneHub 11 месяцев назад

Thankyou sir i was crying with depression untill boom i remembered ur youtube channel and rushed searched for this topic and here i am laughing at my past self and thakyou again sir for all ur help❤

@ihatecomingupeithusers7008 Год назад

My teacher talks a lot during classes and doesn’t explain much, so thanks for the videos mate! I really appreciate it.

@troykengulf4631 4 года назад

"i seem to forgot the letter E here" *proceeds to write F*

@mryup6100 4 года назад

*haha*

@felixkreis250 3 года назад

the triangle was DEF, he accidentally wrote DF so he changed the F to an E and then added the F after it to make it DEF

@dianacheung1056 3 года назад

This is really a good coaching material going step by step... thank you for your excellent presentation, it helps a lot...

@tessmillermezzo 5 лет назад

we love the interesting pauses... like - "calculatin'.....de ratio"...(more pause)

@js.josippp 10 месяцев назад

When a chemistry student explains math better than your maths teacher

@thatguydylan314 2 месяца назад

So real

@RoyaleHarmonica 6 лет назад

Hey sir where you wrote angle A = angle C there it was angle A = Angle D in second postulate.

@Sugaro_x 5 лет назад

@danielmachado7357 5 лет назад

good game?

@vanithakennedy8356 4 года назад

Yes even i have the same doubt

@stqrscape 2 года назад

@funnyperson670 10 месяцев назад

@Ravy-23 5 месяцев назад

You did an ample demonstration of this topic and I'm very much thankful of you because here in India , board exams are not too far from getting under my nerves and i really needed an explanation quintessential to yours.

@deathspacito__2956 4 года назад

This was sort of confusing but cleared everything up thanks.

@nikokoro5862 3 года назад

1:52 Correction: ∠A is congruent to ∠D not ∠C

@JimmyKim-fb1ji 7 месяцев назад

Well he is trying to go as fast as possible and thinking on the spot.

@almaanhadwani5989 9 месяцев назад

Idk why but where ever I need a quick refresher he always has something

@DreamGrants 5 месяцев назад

I really liked your step by step explanation and your pronunciation

@yenkim1417 4 года назад

i have a grading exam tomorrow and im back with this vid again bc i forgot coz of christmas break

@xwing2656 2 года назад

Literally saved my bloody life! Thank god man! Truly appreciate it

@taehyungkim7554 4 года назад

Then what is the purpose of AAA if you can already know it by only doing AA

@V3AM_ 4 года назад

Because Math

@ammaralolabi4873 4 года назад

Because math

@slakoththesuperstar2639 4 года назад

Cuz exams

@rameshgedala 4 года назад

AA is derived from AAA ..it means when 2 angles are equal then the third angle will be (180- sum of 2 angles) which will be equal in both the triangles ...so if AAA postulate is proved automatically AA is also done.which is similar to ASA and AAS ...

@teruelryanpaul 4 года назад

because math

@yocool7083 Год назад

This man is an alien he knows everything

@bs_shorts69 4 месяца назад

😂😂😂bro frfr

@moonniieee 5 лет назад

The geometry regents is on Friday so thanks so much for this

@logiic8835 4 года назад

moon what’s regent?

@havier8521 4 года назад

@@logiic8835 regents is a high school test

@logiic8835 4 года назад

@@havier8521 in what country?

@havier8521 4 года назад

@@logiic8835 in America I think, where are you from?

@logiic8835 4 года назад

Havier. I live in Poland😁 are you an American?

@akshayvj3258 4 года назад

lmfao who else is here cuz they have a test comming soon

@Swampchicken7 3 года назад

I have one tomorrow

@vxeishim.g 3 года назад

@@Swampchicken7 did u do well?

@Swampchicken7 3 года назад

@@vxeishim.g 38/40

@diarrhea_pant5095 2 года назад

test starts in an hour

@shahmeeriqbal9073 5 лет назад

At 2:12 angle A=angleD not C

@kartheekdavid2149 3 года назад

Thanks for an actual good video with explanation. Good job.

@sizzling_angel4925 5 лет назад

Well explained...Thank u....tody is my board exam

@mouseinahouse4670 3 года назад

What a great video. Really helps with homework and studying thanks so much

@karynoghogho9302 5 лет назад

This helped a lot........thanks

@teekay3747 3 года назад

Yes ad... I am searching RU-vid for math help... And yes... His videos are helping

@mengzhewang1138 10 месяцев назад

Bro those adds are getting more and more concerningly accurate

@crispylake2445 5 лет назад

*sorry what*

@masamune9082 4 года назад

Lakey Lake so he’s like explaining ways to proof how these triangles are similar

@hunterepicness4303 4 года назад

@@masamune9082 I hate geometry

@hellodarknessmyoldfriend879 2 года назад

They similar bc you draw them at same size.

@aidind 2 года назад

thank you so much! keep up the great content 👏🖤

@ncobiledlamini676 2 года назад

You're the best sir

@TIKTUBE-ON Год назад

Now I completely understand this topic I can now identify and work with similar triangles. Thanks mr organic chemistry. Hey you got any chemistry video.

@prakashr2284 4 года назад

Thanks a lot

@halaahmed5516 5 лет назад

very clear and helpful 😀🌸

@appajiswamy448 5 лет назад

Sir I am from India and I always listen ur vedios😊😊😊

@brianmartinez8311 4 года назад

Parijat stfu

@carlotiu1308 4 года назад

@@brianmartinez8311 eew

@havier8521 4 года назад

@@parijat8166 leave him alone

@ornelassilva6690 3 года назад

@@parijat8166 leave him alone

@bubbletae286 4 года назад

The way I saw this vid was half an hour long so I put it on 1.5x speed because I aint wasting half and hour of my life on maths

@mrsazeem7803 4 года назад

modern problems require modern solutions.😂🙌

@WorthyEffects 3 года назад

genius lol

@SoulOne713 3 года назад

@@WorthyEffects did he pass the test tho

@lilyann8080 3 года назад

Wait your profile name tho 👏🏼👏🏼👏🏼 can we get this person a medal pls?

@airbornediamond5759 3 года назад

This explains that nerds use 0.25x speed

@pixieholic8140 2 года назад

It's not that my teacher is boring, but she's hella fast when teaching like we're gonna get it in a snap, we ain't Einstein 2.0

@johndavidargente8833 Год назад

The best tutor

@imanzeyed Год назад

Thanks 😊

@ExoDragon954 27 дней назад

Thanks. This helped a lot.

@gaxb7078 3 года назад

in 2:12 did he meant A=D instead of A=C??

@rence2006 3 года назад

Yeah 😂

@wanred9104 2 года назад

I hope they add ur videos to khan academy ur videos are nice

@SiarahSilverRain Год назад

Studying for the final I have in my next class

@arazick 5 лет назад

Thanks for very informative video. can I ask you what tool are you using to write on the screen with?

@shouyuu 5 лет назад

A pen

@lilyann8080 3 года назад

@@shouyuu wait- sLoW dOwN

@pandaiscute5909 2 года назад

3 years with no answer…

@ramadhanmigeto6424 Год назад

Thank you very much sir,, you are very methodological

@KrishnaPatel-pf4cj 4 года назад

Is corresponding sides of similar triangles congruent or proportional? If proportional ,so why you said that corresponding sides of similar triangles are congruent.

@abhineelnandi3541 3 года назад

You are correct. It was meant to be similar as congruent means equal in all proportions, be it length or angle.

@davidlee9456 3 года назад

2:10 it should be

@asem111 4 года назад

thank you so much for the help

@thatguydylan314 2 месяца назад

I got my final for geometry in like two hours so I needed a refresh 😭

@wxrd_ Год назад

i still dont know how to know whether the traignle is congruent or not

@neptunemusic9285 5 лет назад

Then y do we need AAA criterion? IF AA criterion can prove all angles are equal

@caitlynpie138 4 года назад

AAA is for triangles with no sides or angles the same (scalene). AA is for triangles with 2 sides or angles the same (isosceles).

@GAMINGWITHCHINAR 4 года назад

No.... He's right we don't need AAA... If we have AAA, it's great. But if we have just two angles we can use AA for that because the third angle will obviously be same so it becomes AAA

@aidind 2 года назад

because math

@kaasschaaf32 2 года назад

for 8:51 you can also use aa bc angle B= angle E (corresponding)

@baphometlovesyou6515 2 года назад

@MarquiseMelodies 2 года назад

Stan everglow

@notexile5765 2 года назад

I’ve lost enough brain cells

@SHazilsiddiqui-sj1em Год назад

it helped a lot

@ajsa6896 5 лет назад

great!!! thanks👍🏽

@funnyperson670 10 месяцев назад

9:02 (personal reminder 🙃)

@user-eh3qu2po7c 3 года назад

شكرا لك علي تذكيري بهذا✨✨

@maxximhyze6063 3 года назад

Buak ka

@youtubeaccount0x073 5 лет назад

How come for congruency statements you had to prove all 3 angles were equal(AAA theorem) and not just 2 like now???

@johnramos7057 5 лет назад

Congruence proves that the triangles are exactly the same similarity proves they share the same angles they could be completely different sizes but have the same angles

@youtubeaccount0x073 5 лет назад

John Ramos but even with all three angles you can’t prove they are congruent and AAA was a congruency statement I thought

@johnramos7057 5 лет назад

SNKRhead Games that’s why there are no Triple A’s it doesn’t prove congruence like SAS AAS and others AAA doesn’t exist it’s only AA similarity but you can definitely use congruent statements to prove two triangles similarity

@Thegamer77102 2 года назад

Thank you so much

@teruelryanpaul 4 года назад

I don't get it.

@punitjaat8452 2 года назад

Thank you bro

@abinash-gk 2 года назад

1:55 there should be angle A = angle D not angle C....if any body is confused

@tartaglicious 2 года назад

thank you so much

@user-yy3xd4vl8s 2 года назад

Thanks

@elijahprince3597 3 года назад

I-I'm lost...

@clickbite080 Год назад

Thank you 😇

@jaredthegreat 5 месяцев назад

Im bout to Ace this Exam (The final exam is tommorow)

@rinahiron9445 2 месяца назад

Thank you 😊😊😊😊😊

@abdulaziz452 2 месяца назад

Where do you live?

@leandivanniekerk3305 4 года назад

Why do you write the two congruent sides like a fraction? Is it just to show that the sides are congruent? 3:16 - 3:33 Edit: Do you write the biggest number of the congruent sides on top?

@gaeldilamh2572 3 года назад

the sides not congruent they "corresponding" cause this is all similarity. so its read like a fraction pretty much "one side over the other side" or like a ratio. we say when the triangles are similar that sides are proportional -- which is why we write the ratio. it doesnt matter which goes on top or bottom, as long as you do the same on the other side of the =

@waqask4999 2 года назад

It’s because for example we know the length of the sides like unit eg 5, 10 anything like that So we divide the corresponding sides and we do that for all the sides if we get the same answer They are similar Eg AB is 12 BC is 18 AC is 30 And DE is 6 EF is 9 DF is 15 If we divide them by the corresponding sides which are AC corresponds to DF. AB corresponds to DE And BC corresponds to EF we divide and the answer is 2 so the triangle is similar

@josesitocastorena341 2 года назад

In the secodn example, shouldn't be angle a is congruent to angle d? Instead of angle a is congruent to angle c ?

@sheefoox8202 4 года назад

*hello*

@user-zy2hj2tu2m 4 года назад

Anyone else sleep to his voice?

@nephronum 4 года назад

Jeiel Fabella me, he is great teacher, but sometimes during studying I fell asleep.

@quicky8442 2 года назад

8:12

@hqs9585 2 года назад

The SSS side similarity postulate(?). Well, it is the fact that triangle that is dilated (up or down about its centroid) or scaled becomes similar to the original untouched triangle, that is not a postulate is a definition.

@Sterbann 3 года назад

I have a small brain

@_TV00 2 месяца назад

1:07am and have a test first period tmr

@LegrochaTV 5 лет назад

Thank you sir.

@gyanendrakayastha5848 4 года назад

Nice sir can you please make it more proper

@noiseyboi3604 2 года назад

Frying Pan says thank you

@manaalkamran2528 4 года назад

At 25:45 isn’t it AAA and not AA . Someone plz help!

@zeroamu8250 4 года назад

We only need 2 angles. If 2 angles are equal then the third angle is automatically equal so,instead of AAA we just take AA

@MuhammadFaiz-nx8zf 2 месяца назад

Man tomorrow is my formative I’m going to fail most probably

@MuhammadFaiz-nx8zf 2 месяца назад

Flip myself 🙃

@abdulaziz452 2 месяца назад

‏هذا منهج اي دولة

@ronibasques6019 4 года назад

Exelent Vídeo bro

@rence2006 3 года назад

You predicted the one I'm answering hahahah

@myroncabali4727 3 года назад

How to find the sides and altitude with only the measure of the hypotenous given

@saladheadmusic6537 4 года назад

At 22:04, shouldn't "corresponding -sides- of similar triangles are congruent to each other" be "corresponding angles of similar triangles are congruent to each other" because if they're similar the sides shouldn't be the same length. I'm confused 😕

@geethaprem580 2 года назад

yeah it was a a slip up what you thought is correct

@ugrue8978 3 года назад

Thanks you really help me. But I gotta say I'm still confused.

@yuvrajgavale1970 4 года назад

Well done sir but next time don't use dark blue🔵🔵 colure. 👌ok

@psivy5942 Год назад

7:40 for the triangle one: what if you were asked to find the area of ABDE because I'm really drugging with finding it? 😭😭

@vanithakennedy8356 4 года назад

In AA postulate sir u wrote angle A = angle c instead of amgle d

@datmeme8967 3 месяца назад

What did the sycamore say to the triangle? "Gee, I'm a tree."

@justayoutubeaccount371 3 месяца назад

At 2:20 does he mean similar?

@exequielantallan5091 2 года назад

Help me

@titanianinavvvv2861 3 года назад

Ok i am reading an entire book and i have only 1 day to cover it ...it took ppl 1 year to learn it while i have to study it alone in 1 day ...HOW UNFAIR IS THIS WORLD