Vector Proof: "Unspecial" Quadrilaterals & Parallelograms

  Рет қаралды 16,853

Eddie Woo

Eddie Woo

Күн бұрын

Пікірлер: 42
@livelaughloveandmore
@livelaughloveandmore 3 жыл бұрын
I would have given a standing ovation after each class I attended. 🙏 You're fabulous.
@PenguinTutor
@PenguinTutor 3 жыл бұрын
Great teaching style. Clear and easy to follow. At one point the answer came to me and I wanted to start shouting out the answer.
@sanjayyt5194
@sanjayyt5194 3 жыл бұрын
I love your teaching now I am also a teacher thank you sir
@mrigayu
@mrigayu 3 жыл бұрын
What an elegant proof! Just beautiful.
@tadejsivic534
@tadejsivic534 3 жыл бұрын
Amazing proof out of the blue. Just 2 lines, fabulous.
@akhildas4201
@akhildas4201 3 жыл бұрын
sir , you need to stop teaching students and start teaching teachers all over the world on ' how to teach '-❤️
@OverloadedOrama
@OverloadedOrama 3 жыл бұрын
Amazing proof! Thank you very much!
@hectormendy4101
@hectormendy4101 3 жыл бұрын
Sir your a magician ! ❤️
@calin5422
@calin5422 3 жыл бұрын
2:32 So hogwarts wasnt enough education for Hermione
@mil9102
@mil9102 3 жыл бұрын
lmaoo 😂
@joliettraveler
@joliettraveler 3 жыл бұрын
Fantastic !!!! Great explanation and easy to follow.
@AverellPham
@AverellPham 3 жыл бұрын
Setup: - Name the quadrilateral ABCD - Name the mid points: E, F, G, H Proof: 1. EF is midliner of triangle ABC ==> EF is parallel to and equal to 1/2 AC 2. HG is midliner of triangle ADC ==> HG is parallel to and equal to 1/2 AC (1) + (2) ==> EF // HG and EF = HG. So EFGH is Parallelogram.
@franciskisner920
@franciskisner920 3 жыл бұрын
Another short proof from geometry: Draw a diagonal dividing the quad into two triangles with a common base. Join the midpoints of the sides of a triangle and you form a line segment that is half the length of the base and parallel to it. Both of the constructed triangles then will give lines parallel to that common base and half its length. Parallelogram is proved.
@DeJay7
@DeJay7 2 жыл бұрын
My mind was blown by how simply you put it and it seemed to make sense. I wonder if it could be proof.
@programaths
@programaths Жыл бұрын
@@DeJay7 You've to admit Thales proof. So, he needs to add "(according to Thales theorem)", then it's a valid proof. Also, it uses Euclide axioms consequent (transitivity of parallels), but those rarely appears in proof (accepted as is).
@tambuwalmathsclass
@tambuwalmathsclass 3 жыл бұрын
My mentor
@GodbornNoven
@GodbornNoven 8 ай бұрын
Beautiful proof, i thought it could simply be proven that it forms a parallelogram because of the midpoint theorem. The length of the line that connects the midpoints of the sides must always be half the length from the beginning to the end. And because its the same thing for the other set of sides. They are equal to half the line from the beginning to the end and are both parallel to it A//B, A//C => B//C 1/2 A = B, 1/2 A= C. B=C Thus, it must be a parallelogram.
@MuhammadAnas_Official
@MuhammadAnas_Official Жыл бұрын
Love it
@aayanshrkumar509
@aayanshrkumar509 3 жыл бұрын
Good teaching
@gauravmathsacademy1572
@gauravmathsacademy1572 3 жыл бұрын
Super explanation sir
@mmh1922
@mmh1922 3 жыл бұрын
Midline properties of triangle is an easier proof. But it is nice to see a vector proof.
@programaths
@programaths Жыл бұрын
You then need to prove midline of triangle or write you are using Thales theorem.
@Victor-zn4pn
@Victor-zn4pn 2 жыл бұрын
How would you prove the parallelism of the other two sides though? Explicitly, a parallelogram has 2 pairs of parallel sides. All we've proven here is that this shape has two sides that are parallel. This doesn't prove its a parallelogram, for a trapezium has the same properties, right? I'm sure similar steps could be used to find this out, but I feel like this could have been worth mentioning! For next time perhaps.
@Victor-zn4pn
@Victor-zn4pn 2 жыл бұрын
Ah! I now realise where my misunderstanding came from. Not only did Mr. Woo prove their parallelism, but also their equal magnitudes, proving its nature as a parallelogram. I'll listen better, next time!
@littletin8453
@littletin8453 3 жыл бұрын
hi eddieeeeeeeeee ur very helpful
@hasooon7056
@hasooon7056 3 жыл бұрын
i wonder if people subscribe just to dislike the video, like, it's just 10 minutes and already a dislike
@nilsastrup8907
@nilsastrup8907 3 жыл бұрын
Yeah, there will always be some people trying to spread negativity. I feel like it might be a misclick though
@xx_1dreamstanlegend_xx422
@xx_1dreamstanlegend_xx422 3 жыл бұрын
Either misclick or disliking to remove these videos from their feed
@Ddddddddddd381
@Ddddddddddd381 3 жыл бұрын
But how do you KNOWWWWRRR it’s a parallelogram?
@papafreddy2123
@papafreddy2123 3 жыл бұрын
You can use this method to test the other two sides as well. Just use two different vectors that are also equal (i.e. a-c and b-d) and halve them both. You'll find that the halved vectors are also parallel and in fact correspond to the other two sides.
@navodalwickramawardhana9040
@navodalwickramawardhana9040 3 жыл бұрын
❤️❤️
@meiwinspoi5080
@meiwinspoi5080 3 жыл бұрын
hi eddie. i am a maths teacher. i see your videos and adopt the identical methods to teach my students. is it plaigarism?? will you sue me for copyright violation?
@popculture1026
@popculture1026 Жыл бұрын
what kind of stupid ass question is this
@sohamlonkar1026
@sohamlonkar1026 3 жыл бұрын
Sir but how a+b=c+d ?
@carultch
@carultch 2 жыл бұрын
It's not a simple addition. It is an addition as vectors. a, b, c, and d are all vectors that enclose a quadrilateral, in that order. To get from the start of a to the end of b, it is the same net displacement as it is to follow the path along c, and then along d. That's how we have equal vector sums along a and b, as we do along c and d.
@aashsyed1277
@aashsyed1277 3 жыл бұрын
Strange strange strange 🤔🤔🤔🤔🤔🤔🤔 honey 🍯🍯🍯🍯
@shahzaibali2125
@shahzaibali2125 3 жыл бұрын
First
@aashsyed1277
@aashsyed1277 3 жыл бұрын
Please 🥺🥺🥺🥺🥺🥺🥺🥺🥺🥺😳😳🥺😳😳😳😳😳😳😳
@aashsyed1277
@aashsyed1277 3 жыл бұрын
KZbin
@gauravmathsacademy1572
@gauravmathsacademy1572 3 жыл бұрын
Thanks
@aashsyed1277
@aashsyed1277 3 жыл бұрын
@@gauravmathsacademy1572 ?
@PhongHoang-iu8qi
@PhongHoang-iu8qi 3 жыл бұрын
Micro cell
3D Dot Product (1 of 3: Foundational ideas)
10:34
Eddie Woo
Рет қаралды 17 М.
Extending 2D Vectors (1 of 2: Notation & example)
18:38
Eddie Woo
Рет қаралды 10 М.
Арыстанның айқасы, Тәуіржанның шайқасы!
25:51
QosLike / ҚосЛайк / Косылайық
Рет қаралды 434 М.
One day.. 🙌
00:33
Celine Dept
Рет қаралды 69 МЛН
How many people are in the changing room? #devil #lilith #funny #shorts
00:39
3D Coordinate System (1 of 2: Introduction)
14:17
Eddie Woo
Рет қаралды 25 М.
Vector Equations of Spheres (1 of 2: Tangential spheres)
17:58
Sampling a discrete random variable
14:13
Eddie Woo
Рет қаралды 11 М.
Nice Math Olympiad Algebra Equation | How to Solve?
7:09
Kprabhacreations and Studies
Рет қаралды 265
Applications of Dot Products (2 of 2: Projections)
14:52
Eddie Woo
Рет қаралды 8 М.
Арыстанның айқасы, Тәуіржанның шайқасы!
25:51
QosLike / ҚосЛайк / Косылайық
Рет қаралды 434 М.