Converse of Mid-point theorem and Proof

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Friends,
This is a Math video. This is our thirteenth webisode (WB-13) on "Series 8 -- Quadrilaterals".
In this video, we learn that if we draw a line passing through mid-point of one side of a triangle such that the line is parallel to the second side, then that line bisects the third side i.e. the point where the line intersects the third side, that point bisects the third side of the triangle. This theorem is called "converse of Mid-point theorem".
Then we go ahead and prove this theorem. This is a very important theorem.
This video is suited for class-9 (Class-IX) or grade-9 kids.
Cheers,
Friends at Rising Pearl

[@dostotussigreatho]

Hi Siri Harish,
You are very welcome! Glad you liked the video!
Cheers,

[@aqibahmed4814]

this guy does know heck about math. And thanks to you for helping me for last minute study for my mathematics examination.

[@dostotussigreatho]

Hi Aquib,
Glad you found the videos helpful!
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[@GauravSingh-zk1eh]

Thanks a lot!!!Was very weak at this concept but now have understood it...

[@sauravbora8089]

Nice video bro😁😁

[@komuchhittarka476]

Thanks for explaining in very good manner.... 😁😁My all doughts regarding this theorem are now gate cleared...... Thank u so much

[@dostotussigreatho]

Hi Komu,
You are very welcome! I am glad you liked the video and found it helpful. Thanks for sharing your feedback.
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[@ander1hh]

although it was the years ago u saved me man maybe one day I'll thank you

[@dostotussigreatho]

Hi Anda,
You are very welcome!
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[@abhishekmittal8772]

sir please explain thee circles theorem angle made by an arc is double the..angle on the remaining side of triangle..with examples

[@azurefeline3313]

VERY HELPFUL. So well-explained. Thank you for such videos dostotussigreatho

[@dostotussigreatho]

Hi Vaani,
You are very welcome! I am glad you liked the video and found it helpful. Please do check out some of the other videos as you may find them helpful too. And do not forget to share your feedback!
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[@sanyakhisty8256]

Every word to thank you will be less.
NEVER WAS ANYTHING EXPLAINED BETTER. love a ton

[@dostotussigreatho]

Hi Sanya,
You are so very welcome! Thanks for those super kind words. I really appreciate it. Glad you liked the videos and found them helpful!
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[@sumayyasumayya7282]

Hey my name is also sania 😄😃😀

[@molinadhembla726]

Thanks for helping during lockdown😊😊

[@dostotussigreatho]

Hi Anu,
You are very welcome! We are all in this together. I am glad you enjoyed the video.
Cheers,

[@vijayalaxminaikar8118]

thank you so much sir really wonderfully explained more better than school explanation

[@digitalyug6349]

Nice video sir nice explained

[@priyankadubey4005]

Very helpful video 🙂🙂

[@alwaz98]

what types of questions are asked about this theorem

[@manjunathasai4142]

really nicely explained

[@prakritipriya]

Please tell , you have taken in triangle AEF and triangle CDF
angle AEF = angle CDF [ AB||CD AND ED is a transversal ]
angle EAF = angle FCD with AC as a transversal
Can this be replaced by AEF = CDF angle
Please do reply

[@dostotussigreatho]

Hi Prakriti,
Thank you for your question. In ▵AEF and ▵CDF, ∠AEF=∠CDF (AE//CD, ED is transversal, alternate interior angles are equal). Also, ∠EAF=∠FCD (AE//CD, AC is transversal, same reason). We also see that ∠AFE=∠DFC (Vertically opposite angles are equal). Since AE=CD, we say both triangles are congruent by AAS rule. Remember that for AAS rule, we just need any 2 (out of 3) angles of a triangle to be same as their corresponding angles in the second triangle. Hope this helps!
Cheers,

[@eshagarg3397]

nice presentation easy to understand thanx

[@dostotussigreatho]

Hi Esha,
You are very welcome! Glad you liked the video and found it help. Please do check out some of the other videos as you may find them helpful too. If you do get a chance to see some of the other videos, do not forget to share your feedback!
Cheers,

[@madhujaiswal9685]

Hey Sir very nice ..which green board software you are using to write ?
kindly tell me ..

[@tnindra9744]

Thanks sir it's too good and helpfull for me for my exam and
Once again thank sir

[@gagangags2684]

Thank you so much! You've clarified all my weakness in Mid-Point theorem. Good and understandable communication. Hope I get more from you in the future. ;)

[@sagar123pattanaik6]

very much helpfull

[@dostotussigreatho]

Hi Gagan,
Glad you liked the video and found it helpful!
Cheers

[@dostotussigreatho]

Hi Sagar,
Glad you liked the video and found it helpful!
Cheers,

[@iincrediblepayel]

Thank you so much sir, it helped me alot i was really very confused about the mid point theorem and could you please tech the theorems of the chapter circles....and the teaching was awesome

[@adarshpremkumar6877]

thank u sir for the video u r a life saver

[@oweshchoudhary8472]

it is very nice its like a. home tutor thank u very much sir ..

[@dostotussigreatho]

Hi Owesh,
I am very happy to hear that you found the video helpful. Thank you for those kind words. I very much appreciate it.
Cheers,

[@ShivaZXCawesome]

it is very simple and easy to understand .thanks for explaining this in very simple manner.

[@dostotussigreatho]

Hi Shivram,
You are very welcome! Thanks for your kind words.
Cheers,

[@anubalasubramanian3593]

Thanks a lot sir..this helped me to understand quickly and nicely...👍👍thanks a lot..

[@arunapalivela1412]

thnq so much sir this mid point theorm helped me a lot...now i understood ...about the use and imp of theorem

[@abhilashatamrakar407]

thanks it's very easy to understand

[@starboy9073]

THANKYOU SO MUCH FROM THE BOTTOM OF MY HEART ...........YOUR VIEDEO WAS RELLY HELPFULL .THANKYOU SO MUCH ONCE AGAIN

[@avishekdahal3928]

it is very good for the students. thanks a lot guy. keep uploading those videos

[@dostotussigreatho]

Hi Avishek,
Thanks for those kind words. I very much appreciate it.
Cheers,

[@uttammehtre336]

Thanks sir you have helped to the school students

[@anmolsmann]

Thanks bro!
Found it very helpful!

[@DominantBox78]

Thank you so much you are a life saver!

[@dostotussigreatho]

Hi there,
You are very welcome! Do check out some of the other videos as you may like them too!
Cheers,

[@seemathakur1269]

Good thinking

[@peacheddiary]

execellent..this theorem is the exact opp. of mid point thereom

[@dostotussigreatho]

Hi Aarin,
Thanks! Glad you liked the video.
Cheers,

[@sunithareddy844]

tq so...much
it help me a lot

[@08aishwaribanerjee2d7]

Please tell me if AAS rule and SAS rule are same or not

[@dostotussigreatho]

Hi there, They are 2 different rules. Cheers,

[@azurefeline3313]

You people are so nice yaar! You reply to each one of us. How sweet.

[@dostotussigreatho]

Hi Vaani,
You are an amazing person! Thanks for those kind words. I very much appreciate it.
Cheers,

[@latasingh3904]

thanks it is very helpful

[@Riya-pf3oc]

Thank you respected sir.

[@dostotussigreatho]

Hi Riya,
You are very welcome! I am glad you liked the video and found it helpful. Thanks for sharing your feedback. I very much appreciate it. I have started a new website dailymathpro.com/ where I post one math question every day and anyone can view and answer it. Pls do check it out as you may find it helpful.
Thanks again.
Cheers,

[@Riya-pf3oc]

Ya, thank you sir.

[@ankankar2866]

Very interesting

[@PriyaSharma-fs8lj]

Nice explanation sir

[@dostotussigreatho]

Priya - You are very welcome. Please check out ALL other videos at ruclips.net/user/dostotussigreathovideos and share your feedback as well. Cheers,

[@reyansh2364]

When the lines are parallel, why don't you apply BPT?

[@zenxching676]

Thankkkk you sir! ! !
Mere sare doubts clear krdiye apne, thank u sir

[@dostotussigreatho]

Hi Zach, You are very welcome! I am glad you liked the video and found it helpful! Do check out ALL my other videos at ruclips.net/user/dostotussigreatho
It contains almost all class-9 and class-10 Math videos. Cheers,

[@renukabaiju6549]

Thank u so much sir !!!!

[@dostotussigreatho]

Hi Renuka, You are very welcome! I am glad you liked the video and found it helpful. Cheers,

[@sanjayGupta-ec6zm]

Thank you so much sir

[@meenasharma836]

these all vedios are amazing

[@anjalikashyap6260]

There is no point P in the diagram so how AB//CP😐

[@meetnathwani2031]

it is l

[@ankurtirkey4388]

you should also do some questions based on this and mid point theorem..... btw thanks for proving..!! :)

[@dostotussigreatho]

Hi Ankur,
Great input, will look into it. Thanks for sharing the same. Glad you found the video helpful.
Cheers,

[@kirtijoshi8635]

this is a nonsense

[@yashrsewda5750]

awesome really helpfull

[@shreyankp]

Sir, angle EAF Is also equal to angle FCD rite ???

[@shrimalimayurkumar]

you r correct, we can prove by only this ways

[@siriharish3843]

nice lesson

[@dostotussigreatho]

Hi Siri,
Thanks!
Cheers,

[@riteshchadha5404]

can u explain intercept theorem

[@ankankar2866]

It helps me to solve qusdrilareral

[@vishalgiri1607]

help full for students

[@renukachandrasen8815]

wonderful😙😘

[@medharemane6194]

It is very helpful

[@dostotussigreatho]

Medha - Glad you liked the video and found it helpful. Cheers,

[@ronniemila1]

good video

[@ck_ghost5962]

u are amazing.......

[@dostotussigreatho]

Hi Charankanwal,
You are very welcome! Thanks for those kind words. Glad you liked the video.
Cheers,

[@shahzaibmir1937]

U saved me from failing in my exams

[@dostotussigreatho]

Hi Shahzaib,
I am glad I could help! I am sure you would have done well even without these videos though!
Cheers,

[@deepaknayyar1211]

very helpful

[@dostotussigreatho]

Hi Deepak,
You are very welcome!
Cheers,

[@umamaheswarih.d5878]

great

[@dostotussigreatho]

Hi Umamaheshwari,
You are very welcome!
Cheers,

[@ravikr3042]

Thank you so much

[@dostotussigreatho]

Hi Ardra, You are very welcome! Glad you liked the video and found it helpful! Cheers,

[@kamaleshwarilodhi4758]

If the diagonals of a quadrilateral bisect each other then it is a parallelogram

[@kamaleshwarilodhi4758]

Plz alive it

[@kamaleshwarilodhi4758]

Plz solve it

[@PK-eb9gs]

This a theorem man that diagonals of quadrilaterals bisect each other

[@immanueljoshua4998]

Thanks sir appreciate this incentive

[@dostotussigreatho]

HI Immanuel,
You are very welcome!
Cheers,

[@noelalex4942]

Thnx vry much...

[@dostotussigreatho]

Hi Noel,
You are very welcome. Glad you liked the video!
Cheers,

[@deepaksangal117]

Where is ef =half of bc

[@uditpandey4446]

Thanks sir

[@dostotussigreatho]

Hi Udit,
You are very welcome! I am glad you liked the video and found it helpful.
Cheers,

[@iamabeliever6524]

hum aapke dost nahi hain

[@yuvrajsinghdewda3280]

thank sir

[@mukeshchaudhary675]

You should try to use ASA because its easy than AAS

[@BigTimeYappers]

👌

[@dostotussigreatho]

Hi OnGeZwa,
Thank you!
Cheers,

[@gargichauhan2077]

nice explanation😍😍😍😍

[@priyanshuagarwal6902]

thanku v much

[@dostotussigreatho]

Hi Priyanshu,
Thank you, glad you liked the video and found it helpful!
Cheers,

[@khushigupta7349]

sir thanks for this video mujhe ye theorem smjh hi nhi aa rhi thi pr aapne itne acche se explain kiya ki mujhe ye theorem smjh aa gyi .sir apse ek request hai plzz sir ap is chapter ke examples ka bhi video upload kriye

[@haidarkanso6706]

thanks

[@aayushshah5495]

can you please answer a doubt of mine.

[@renbluestone4172]

ask me

[@vanithamanjunath1364]

👍🙏

[@subedarprasad7591]

Can u talk in one language except using of hinglish combination of English and hindi

[@MadhanBR]

You helped me tomorrow is my exam

[@dostotussigreatho]

Hi Madhan,
Thanks! Glad you liked the video. Good luck for your exams.
Cheers,

[@manishekka]

cool

[@ShivamKumar-uo4cj]

OMG I found this video I can't believe sir how could u use hindi and english language like same 😂😂

[@gamingroy8845]

Nice but try to write for better explanation

[@PujaKumari-yp2nk]

In some schools AAS property is not accepted

[@yashika4141]

I am seeing this video after 9 years 🤣🤣🤣🤣

[@dimpleverma4513]

Can you tell it fora trApezium abcd wher ablldc alinee parllel toabmeets b c in fshow that f is midpoiint of bc exam tomorrow please ans it fast beg yoj

[@manishkumar-yd7hd]

You have done a mistake you have written parallelogram instead of writing quadrilateral in the starting after the construction (parallelogram BECD) it is wrong . The correct one is (quadrilateral BECD) . It is only the mistake and the other things are correct.

[@blissbite2925]

Please tell me converse mid pint theorm

[@prabhatkumar-we2ex]

Neha Aggrawal it's converse of mid point theorem

[@ytvanshgamingff8795]

Use only English or Hindi not both in same time😊😊😊😊😊

[@abhishekmittal8772]

thank u soo much

[@dostotussigreatho]

Hi Abhishek,
You are very welcome!
Cheers,

[@SuryaSingh-wq4uc]

Sir aap kaise boll te ho bakwaas

[@pumpkinmangaming6614]

what an english accent*

[@noelalex4942]

I guess u shd explain in english alone...no idea abt hindi....

[@AYUSH-jn3tt]

Nope

[@hitechtrends2372]

If you want to talk in english then talk in english only and if u want to talk in hindi then talk in hindi only why r u mixing up both languages

[@user-ck5sz8fh3r]

I completely agree with you 😊

[@siddharthdansena3879]

You are mad

[@dostotussigreatho]

Cheers,

[@sukritgargwisdom5885]

A bit faster sir u waste soo much time

[@SanjeevKumar-go2mh]

Please sir not mixed both languages

[@stargamerz305]

U have written converse mid point theorem but ur proving in a wrong manner first talk in English either in hindi

[@dostotussigreatho]

Hi Pranav,
This video is the converse of "Mid-point theorem". Please check out the "Mid-point theorem" at
ruclips.net/video/ozb998JdeDI/видео.html
Hope that helps! Cheers,

[@siddharthdansena3879]

This theroum is kabhi kabhi called tere ko english bolna nahi ata

[@umeshkumarmishra9937]

You don't prove the EF || BC

[@aashishgiri5286]

you don't prove the EF"BC