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

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

Рет қаралды 467,894

Күн бұрын

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

Пікірлер: 302

@TheOrganicChemistryTutor 7 ай бұрын

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

@chrisx0293 4 жыл бұрын

Who has a test tomorrow and doing this shit last minute

@joeshmoe6908 4 жыл бұрын

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

@Agent-gi4qv 4 жыл бұрын

Midterms are tomorrow lol

@evanknowles9855 4 жыл бұрын

Yup

@coala9267 4 жыл бұрын

me.

@octaviagray924 4 жыл бұрын

ChrisX02 definitely me

@erreinead4766 4 жыл бұрын

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

@rence2006 3 жыл бұрын

The teacher replied: what did you just say?

@onoken4531 3 жыл бұрын

Yeah my teacher is kinda boring

@abdarraffaykamran3896 2 жыл бұрын

Same here

@NiTeLightYears 8 ай бұрын

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

@JimmyKim-fb1ji 7 ай бұрын

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

@heim8t 3 жыл бұрын

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 жыл бұрын

Tysm

@zeniffdejito261 3 жыл бұрын

thanks!

@charu2059 3 жыл бұрын

Thanks.

@aidind 2 жыл бұрын

thankss

@Bkboy911 2 жыл бұрын

Thx

@theoretically_true151 2 жыл бұрын

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

@terry1989 5 ай бұрын

Thanks

@itscriispy 3 жыл бұрын

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 ай бұрын

shut up nerd

@amyvelasquez-qu9nl 5 ай бұрын

Me too

@georgesadler7830 2 жыл бұрын

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.

@user-pj9sf8he8i 4 жыл бұрын

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

@elijahprince3597 3 жыл бұрын

sameeeeeeeeeeeeeeeeeeeeeeeeeeee

@spicytaco5975 3 жыл бұрын

you aint alone

@daghees 3 жыл бұрын

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

@Sterbann 3 жыл бұрын

@@daghees agreed

@astheriellemercadejas3405 3 жыл бұрын

I'm here.

@ruthcabajes4500 5 жыл бұрын

this guy really helped me in my science and math

@zemo8857 6 жыл бұрын

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

@GamersThroneHub 11 ай бұрын

He is really amazing

@ihatecomingupeithusers7008 Жыл бұрын

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

@troykengulf4631 4 жыл бұрын

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

@mryup6100 4 жыл бұрын

*haha*

@felixkreis250 3 жыл бұрын

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

@js.josippp 10 ай бұрын

When a chemistry student explains math better than your maths teacher

@thatguydylan314 2 ай бұрын

So real

@GamersThroneHub 11 ай бұрын

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❤

@dianacheung1056 3 жыл бұрын

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

@almaanhadwani5989 9 ай бұрын

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

@deathspacito__2956 4 жыл бұрын

This was sort of confusing but cleared everything up thanks.

@Ravy-23 5 ай бұрын

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.

@tessmillermezzo 5 жыл бұрын

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

@yenkim1417 4 жыл бұрын

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

@xwing2656 2 жыл бұрын

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

@DreamGrants 5 ай бұрын

I really liked your step by step explanation and your pronunciation

@RoyaleHarmonica 6 жыл бұрын

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

@Sugaro_x 5 жыл бұрын

@danielmachado7357 5 жыл бұрын

good game?

@vanithakennedy8356 4 жыл бұрын

Yes even i have the same doubt

@stqrscape 2 жыл бұрын

@funnyperson670 10 ай бұрын

@nikokoro5862 3 жыл бұрын

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

@JimmyKim-fb1ji 7 ай бұрын

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

@akshayvj3258 4 жыл бұрын

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

@Swampchicken7 3 жыл бұрын

I have one tomorrow

@vxeishim.g 3 жыл бұрын

@@Swampchicken7 did u do well?

@Swampchicken7 3 жыл бұрын

@@vxeishim.g 38/40

@diarrhea_pant5095 2 жыл бұрын

test starts in an hour

@kartheekdavid2149 3 жыл бұрын

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

@yocool7083 Жыл бұрын

This man is an alien he knows everything

@bs_shorts69 5 ай бұрын

😂😂😂bro frfr

@taehyungkim7554 4 жыл бұрын

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

@V3AM_ 4 жыл бұрын

Because Math

@ammaralolabi4873 4 жыл бұрын

Because math

@slakoththesuperstar2639 4 жыл бұрын

Cuz exams

@rameshgedala 4 жыл бұрын

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 жыл бұрын

because math

@mouseinahouse4670 3 жыл бұрын

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

@bubbletae286 4 жыл бұрын

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 жыл бұрын

modern problems require modern solutions.😂🙌

@WorthyEffects 3 жыл бұрын

genius lol

@SoulOne713 3 жыл бұрын

@@WorthyEffects did he pass the test tho

@lilyann8080 3 жыл бұрын

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

@airbornediamond5759 3 жыл бұрын

This explains that nerds use 0.25x speed

@sizzling_angel4925 5 жыл бұрын

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

@moonniieee 5 жыл бұрын

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

@logiic8835 4 жыл бұрын

moon what’s regent?

@havier8521 4 жыл бұрын

@@logiic8835 regents is a high school test

@logiic8835 4 жыл бұрын

@@havier8521 in what country?

@havier8521 4 жыл бұрын

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

@logiic8835 4 жыл бұрын

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

@teekay3747 3 жыл бұрын

Yes ad... I am searching KZfaq for math help... And yes... His videos are helping

@mengzhewang1138 10 ай бұрын

Bro those adds are getting more and more concerningly accurate

@pixieholic8140 2 жыл бұрын

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

@crispylake2445 5 жыл бұрын

*sorry what*

@masamune9082 4 жыл бұрын

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

@hunterepicness4303 4 жыл бұрын

@@masamune9082 I hate geometry

@hellodarknessmyoldfriend879 2 жыл бұрын

They similar bc you draw them at same size.

@aidind 2 жыл бұрын

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

@TIKTUBE-ON Жыл бұрын

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 жыл бұрын

Thanks a lot

@karynoghogho9302 5 жыл бұрын

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

@shahmeeriqbal9073 5 жыл бұрын

At 2:12 angle A=angleD not C

@ncobiledlamini676 2 жыл бұрын

You're the best sir

@halaahmed5516 5 жыл бұрын

very clear and helpful 😀🌸

@appajiswamy448 5 жыл бұрын

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

@brianmartinez8311 4 жыл бұрын

Parijat stfu

@carlotiu1308 4 жыл бұрын

@@brianmartinez8311 eew

@havier8521 4 жыл бұрын

@@parijat8166 leave him alone

@ornelassilva6690 3 жыл бұрын

@@parijat8166 leave him alone

@johndavidargente8833 Жыл бұрын

The best tutor

@imanzeyed Жыл бұрын

Thanks 😊

@ExoDragon954 Ай бұрын

Thanks. This helped a lot.

@arazick 5 жыл бұрын

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

@shouyuu 5 жыл бұрын

A pen

@lilyann8080 3 жыл бұрын

@@shouyuu wait- sLoW dOwN

@pandaiscute5909 2 жыл бұрын

3 years with no answer…

@wanred9104 2 жыл бұрын

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

@KrishnaPatel-pf4cj 4 жыл бұрын

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 жыл бұрын

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

@asem111 4 жыл бұрын

thank you so much for the help

@ramadhanmigeto6424 Жыл бұрын

Thank you very much sir,, you are very methodological

@SiarahSilverRain Жыл бұрын

Studying for the final I have in my next class

@gaxb7078 3 жыл бұрын

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

@rence2006 3 жыл бұрын

Yeah 😂

@user-eh3qu2po7c 3 жыл бұрын

شكرا لك علي تذكيري بهذا✨✨

@maxximhyze6063 3 жыл бұрын

Buak ka

@notexile5765 2 жыл бұрын

I’ve lost enough brain cells

@ajsa6896 5 жыл бұрын

great!!! thanks👍🏽

@thatguydylan314 2 ай бұрын

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

@SHazilsiddiqui-sj1em Жыл бұрын

it helped a lot

@davidlee9456 3 жыл бұрын

2:10 it should be

@titanianinavvvv2861 3 жыл бұрын

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

@Crithaian 3 жыл бұрын

Why.......

@Thegamer77102 2 жыл бұрын

Thank you so much

@wxrd_ Жыл бұрын

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

@josesitocastorena341 2 жыл бұрын

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

@leandivanniekerk3305 4 жыл бұрын

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 жыл бұрын

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 жыл бұрын

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

@kaasschaaf32 2 жыл бұрын

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

@baphometlovesyou6515 2 жыл бұрын

@ugrue8978 3 жыл бұрын

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

@jaredthegreat 5 ай бұрын

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

@tartaglicious 2 жыл бұрын

thank you so much

@clickbite080 Жыл бұрын

Thank you 😇

@punitjaat8452 2 жыл бұрын

Thank you bro

@neptunemusic9285 5 жыл бұрын

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

@caitlynpie138 4 жыл бұрын

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 жыл бұрын

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 жыл бұрын

because math

@youtubeaccount0x073 5 жыл бұрын

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

@johnramos7057 5 жыл бұрын

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 жыл бұрын

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 жыл бұрын

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

@LegrochaTV 5 жыл бұрын

Thank you sir.

@Sterbann 3 жыл бұрын

I have a small brain

@user-zy2hj2tu2m 4 жыл бұрын

Anyone else sleep to his voice?

@nephronum 4 жыл бұрын

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

@user-yy3xd4vl8s 2 жыл бұрын

Thanks

@abinash-gk 2 жыл бұрын

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

@yuvrajgavale1970 4 жыл бұрын

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

@rence2006 3 жыл бұрын

You predicted the one I'm answering hahahah

@MuhammadFaiz-nx8zf 2 ай бұрын

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

@MuhammadFaiz-nx8zf 2 ай бұрын

Flip myself 🙃

@abdulaziz452 2 ай бұрын

‏هذا منهج اي دولة

@rinahiron9445 2 ай бұрын

Thank you 😊😊😊😊😊

@abdulaziz452 2 ай бұрын

Where do you live?

@hqs9585 2 жыл бұрын

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.

@ronibasques6019 4 жыл бұрын

Exelent Vídeo bro

@psivy5942 Жыл бұрын

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? 😭😭

@saladheadmusic6537 4 жыл бұрын

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 жыл бұрын

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