#DidYouKnow: A circle is the most symmetric because it has infinite lines of symmetry (diameters). Same goes for a sphere. To learn more about Symmetry, enroll in our full course now: infinitylearn.com/cbse-fullcourse?TH-camDME&S-ZmpJfw&Comment To watch more Geometry videos, click here: bit.ly/GeometryPart1_DMYT
I'm stupid, so this might sound dumb, but wouldn't a circle just have a really large number of lines of symmetry instead of Infinite? I mean if there was 1 line for every Planck length around the circle then it would just be a really big number. Idk, I'm confused
Thanks you tomorrow I have my Maths exam and its the last exam of the 7th class I want to be fully prepared because of you I am feeling confident now 🔥🔥🔥
I'm glad that our content is so helpful to you! Please subscribe and press the bell icon to never miss a video: bit.ly/DontMemoriseTH-cam Happy Learning :)
Let's draw an Isosceles triangle. It's a triangle in which two of the sides are equal to each other. And we had seen in the previous video, that it has a vertical axis of Symmetry. If this part is flipped to the other side, we see that the two parts match exactly. And that's why we say that this shape is symmetrical. This is called reflection symmetry. Why is it called that? Let's see. If we take one part and keep it against a mirror, we will get the original shape. The reflection of one part completes the shape. But wait, what is the other kind of symmetry? Do we have another kind? To know the answer here's another figure for you. This figure is made up of six squares to be precise. Now I want you to tell me if this shape has reflection symmetry or not. Can we draw a line through it, such that the two parts formed match exactly with each other? If we try out different lines we realize that no such line can be drawn. This shape has no reflection symmetry, but what the shape has is 'rotational symmetry'. Yes ! 'Rotational symmetry'. What does that mean? As the name suggests, let's try rotating the figure about its center point. And what does rotating about a center point mean? Take the example of this triangle. If we rotated about its center point, it will rotate like this. If we rotate it about this point, it will rotate like this. And if we rotated about one of its vertices it will rotate like this. The shape will rotate differently depending on the point around which it is rotated. Now let's come back to our figure. We rotate the figure completely around the center point once, and see how many times it looks exactly like the original one. Rotating it completely, means rotating it by 360 degrees. Let's have a counter on the right which counts the number of times the rotated figure looks like the original. Let's start! Now the figure rests at zero degrees. After rotating it by 90 degrees. We get this shape. It's not the same as the original. The counter is still at zero. Okay, so let's rotate the original shape by 180 degrees. And we see that it looks exactly like the original shape. It fits in perfectly. We see an increment of one on the counter. We continue rotating it till we finish one complete rotation. Rotating it by 270 degrees gives us the shape which is not the same as the original. And rotating it by 360 degrees gives us the original shape back . The counter changes to two. What does this two tell us? It tells us that when this figure is rotated completely by 360 degrees, the rotated image looks exactly like the original image twice. Once at 180 degrees, and another at 360 degrees. So we say that this shape has rotational symmetry of order two. To recap, when do we say that a shape has rotational symmetry? Okay, this is long. So I want you to listen to it carefully. A shape has rotational symmetry if, it looks exactly like the original shape, a number of times when rotated about the center point by 360 degrees. Here, the number of times it looks like the original is 2. So we say that this shape has rotational symmetry of order 2. Is it easy to find the order of rotational symmetry? Let me give you a few shapes, and why don't you try finding their order of rotational symmetry. First, an oval looks like this. Next a square, an equilateral triangle and a circle. Each of them has rotational symmetry, but we need to find the order. We begin with the oval shape and start rotating it. Let's see how many times the rotated image looks like the original. Once and twice. We saw that it looks like the original shape two times after the complete rotation. Its order of rotational symmetry is two. In a similar way why don't you try finding the order of rotational symmetry, for these three shapes? Let's start rotating the square now about its centre point. 90 degrees, 180 degrees, 270 degrees and 360 degrees. Clearly, the order of rotational symmetry for a square is 4. Now for the equilateral triangle. 120 degrees at 240 degrees, And at 360 degrees. Three times in one complete rotation, the order is three. And now we come to the circle. What do you think will be the answer here? No matter how we rotate the circle, it will always match the original shape . It will have rotational symmetry of order Infinity. So remember, a shape has rotational symmetry if it looks exactly like the original shape. A number of times when rotated about the center point by 360 degrees.
Omg I 'am speechless. It took me months to cover the topic symmetry (the chapter is like 50 pages in the book) and u explained it all in 7 mins. Thx a lot 😇😇😇😇😇👌👌👌
This lesson was a lifesaver. We had a substitute teacher in class the day we were meant to be learning this, and I didn't understand it at all. He just gave us worksheets. Thank you so much!
Thank you sooo much don't memories team. Because of you I scored 50/49 marks in my maths examination and I would really admire to thank you for the other chapters which you have explained in this channel. Really thank you don't memories team. Stay safe Stay happy Stay healthy Thank your very much......
Too good... The book I was reading didn't had clear explanation of point symmetry... Even the term rotational symmetry was not used... This video helped me a lot... Thanks ❤
For regular shapes, where all sides and internal angles are congruent such as equilateral triangles, squares, and regular pentagons, the order of rotational symmetry is equal to the number of the reflective axes of symmetry which in turn is equal to the number of sides the shape has.
You're most welcome Ram. We are glad that you understood the concept. We are happy that we could help you learn. You motivate us to do better. Keep watching our videos : )
Thank you so much! You have explained this in such a clear, simple way, in only 6 minutes! Keep doing these amazing videos, you are helping so many people and you are helping me to become better at maths! Much love to the whole Don't Memorise team! 😊💖 I hope you and everyone is staying safe, happy and healthy and I hope your and everyone's families and friends are staying safe, happy and healthy too! 😊💖
You're most welcome and Thanks for your appreciation. We are really happy to hear that it was helpful to you. We are glad that you understood the concept. We are happy now that you are all clear with your doubts. We love our Pi Army and would like to stay connected. 🤗🤗
Thank you very much for the appreciation! To view several more playlists of various subjects for free, register on our website: bit.ly/DontMemoriseRegister Happy Learning :)
Great lesson! You speak so clearly and the animations along with the sound effects are very effective. Thank you for sharing this content! Keep up the great work!
Those are 3-Dimensional shapes. Perhaps you could request a lesson, though I think it's the same concept. If you are still stuck, you might learn that not all shapes have rotational symmetry - that it is so unique it never repeats itself.
Rotational symmetry of order 1 means it only looks the same after it goes 360 degrees. Such an object is rotationally asymmetric. Order 0 isn't possible.
Please don't scroll, I just wanted to your beautiful, you don't need to be insecure! Stay healthy live song may your parents and you live long, and if they are not alive..hope they are in a better place, have a great day!
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#DidYouKnow: A circle is the most symmetric because it has infinite lines of symmetry (diameters). Same goes for a sphere.
To learn more about Symmetry, enroll in our full course now: infinitylearn.com/cbse-fullcourse?TH-camDME&S-ZmpJfw&Comment
To watch more Geometry videos, click here: bit.ly/GeometryPart1_DMYT
I'm stupid, so this might sound dumb, but wouldn't a circle just have a really large number of lines of symmetry instead of Infinite? I mean if there was 1 line for every Planck length around the circle then it would just be a really big number. Idk, I'm confused
👍👍👍
@@Milk88488 I also think that..
Yah its true
Shaly
THANKYOU! IT IS BECAUSE OF YOU THAT I GOT FULL MARKS IN MY MATH TEST!
Wow! We're so proud of you :)
Wahhhh
Wow
Simp
@@sreeharivinuprasad2d218 hahaha this comment of mine was from a year ago, i completely forgot i even posted this hahahahahaha
You taught me how to do that when my mum tried multiple ways to try to teach me but you had the most efficient. Thanks :D
Mom: so basically, it go round round
@@tecno5695 lmao
@@anam2133 which country are you from
@@anweshthakur2817 why do you ask lol
@@anam2133 😎
Man
In six minutes You thought me what my math teacher couldn’t teach me in a month
My name a Jeff I know
Joeah they don’t explain good they just give me worksheets to do and make us copy notes
Joeah I don’t have it we finished it a long time ago
@peak lime NO BOTH PAKISTANI AND INDIAN AND ALL OTHER COUNTRY POWER!!!!!!
Factsssssss
Thanks you tomorrow I have my Maths exam and its the last exam of the 7th class I want to be fully prepared because of you I am feeling confident now 🔥🔥🔥
Thank you so much, I have a math test tomorrow and this really helped. 🙂
FIND: 0
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@@cult5169 found it
Lmao i have one in 1 hour...
Yeah me too! Thank you very much!
same lol I'm so scared
I didn't understand rotational symmetry by reading the textbook but I understood it by watching this video, so thank you very much.
Same
Really It helped me to teach rotational symmetry. Thank you.
Thank you for this explanation, before I watch this I can't understand the rotational symmetry but now I understand
best explanation
I was not expecting this
but its good
I'm glad that our content is so helpful to you!
Please subscribe and press the bell icon to never miss a video: bit.ly/DontMemoriseTH-cam
Happy Learning :)
But you expected that you wont expect it so you expected that
Its LAN
Let's draw an Isosceles triangle.
It's a triangle in which two of the sides are equal to each other.
And we had seen in the previous video,
that it has a vertical axis of Symmetry.
If this part is flipped to the other side,
we see that the two parts match exactly.
And that's why we say that this shape is symmetrical.
This is called reflection symmetry.
Why is it called that?
Let's see.
If we take one part and keep it against a mirror,
we will get the original shape.
The reflection of one part completes the shape.
But wait,
what is the other kind of symmetry? Do we have another kind?
To know the answer here's another figure for you.
This figure is made up of six squares to be precise.
Now I want you to tell me if this shape has reflection symmetry or not.
Can we draw a line through it,
such that the two parts formed match exactly with each other?
If we try out different lines we realize that no such line can be drawn.
This shape has no reflection symmetry,
but what the shape has is 'rotational symmetry'.
Yes !
'Rotational symmetry'.
What does that mean?
As the name suggests,
let's try rotating the figure about its center point.
And what does rotating about a center point mean?
Take the example of this triangle. If we rotated about its center point,
it will rotate like this. If we rotate it about this point,
it will rotate like this.
And if we rotated about one of its vertices it will rotate like this.
The shape will rotate differently
depending on the point around which it is rotated.
Now let's come back to our figure.
We rotate the figure completely around the center point once,
and see how many times it looks exactly like the original one.
Rotating it completely,
means rotating it by 360 degrees.
Let's have a counter on the right
which counts the number of times the rotated figure looks like the original.
Let's start!
Now the figure rests at zero degrees.
After rotating it by 90 degrees. We get this shape.
It's not the same as the original.
The counter is still at zero.
Okay, so let's rotate the original shape by 180 degrees.
And we see that it looks exactly like the original shape.
It fits in perfectly.
We see an increment of one on the counter.
We continue rotating it till we finish one complete rotation.
Rotating it by
270 degrees gives us the shape which is not the same as the original.
And rotating it by
360 degrees gives us the original shape back .
The counter changes to two.
What does this two tell us?
It tells us that when this figure is rotated completely by
360 degrees,
the rotated image looks exactly like the original image twice.
Once at 180 degrees, and another at 360 degrees.
So we say that this shape has rotational symmetry of order two.
To recap, when do we say that a shape has rotational symmetry?
Okay, this is long. So I want you to listen to it carefully.
A shape has rotational symmetry if, it looks exactly like the original shape,
a number of times when rotated about the center point by
360 degrees.
Here,
the number of times it looks like the original is 2.
So we say that this shape has rotational symmetry of order 2.
Is it easy to find the order of rotational symmetry?
Let me give you a few shapes,
and why don't you try finding their order of rotational symmetry.
First, an oval looks like this. Next a square,
an equilateral triangle and a circle.
Each of them has rotational symmetry,
but we need to find the order.
We begin with the oval shape and start rotating it.
Let's see how many times the rotated image looks like the original.
Once and
twice.
We saw that it looks like the original shape
two times after the complete rotation.
Its order of rotational symmetry is two.
In a similar way
why don't you try finding the order of rotational symmetry,
for these three shapes?
Let's start rotating the square now about its centre point.
90 degrees,
180 degrees,
270 degrees and
360 degrees.
Clearly, the order of rotational symmetry for a square is 4.
Now for the equilateral triangle.
120 degrees at
240 degrees,
And at 360 degrees.
Three times in one complete rotation,
the order is three.
And now we come to the circle. What do you think will be the answer here?
No matter how we rotate the circle, it will always match the original shape .
It will have rotational symmetry of order Infinity.
So remember,
a shape has rotational symmetry if it looks exactly like the original shape.
A number of times when rotated about the center point
by 360 degrees.
THANKS FOR HELPING ME TO KNOW THIS I REALLY APPRECIATE IT YOU ARE THE BEST TH-cam TO TEACH.
The best way is to rotate your test paper while thinking of the exact shape all the time and find the ans.
It's like playing a game.💜💙💚💛❤
Ur mum
@@pleasedontgunyourself boom roasted
omg helpful hack, too bad u cant do this in online quizes now 😭
@@cry_stalll you can rotate your phone
Omg I 'am speechless. It took me months to cover the topic symmetry (the chapter is like 50 pages in the book) and u explained it all in 7 mins.
Thx a lot
😇😇😇😇😇👌👌👌
This lesson was a lifesaver. We had a substitute teacher in class the day we were meant to be learning this, and I didn't understand it at all. He just gave us worksheets. Thank you so much!
😋😋
Thank you sooo much don't memories team. Because of you I scored 50/49 marks in my maths examination and I would really admire to thank you for the other chapters which you have explained in this channel. Really thank you don't memories team.
Stay safe
Stay happy
Stay healthy
Thank your very much......
What you can't get that marks that is illegal you should have got 49/50 not 50/49
Terrific effort Miss.. Really appreciated your hard work in creating such content which makes it easier for students to learn this instantly!
Too good... The book I was reading didn't had clear explanation of point symmetry... Even the term rotational symmetry was not used... This video helped me a lot... Thanks ❤
1st time this concept i got very clearly.
great job. thanks.
Thanks for helping teach my math class!!!
Thank you, this helped me well when doing my high school test, Thank you, Dont Memorise!⭐😁
Thanks. I have coding test tomorrow u helped me
My math teacher sent me this video and it really helped! thx alot :)
nobody other than you can explain in such a perfect way
Thank you, your'e amazing! I finally got my homework done. love your accent too!
Tnx a lot! I'm at home and finding beauty in my studies thanks a million *Don't Memorise* team keep up the best work!!
OMG you are such a helpful teacher I wish u were mine!
this helped with my revision thank you !!!!!
Thankyou so much you make a topic very clearly to us...thanks so so much
I am so cufused in rotational symmetry and reflection symmetry before watch this video but.... after it clearly understood👍 thank you 🙏
thank you, ily, my teacher explains things so much more complex than they need to be
My mam tell us to watch this video and i watch, it is amazing video thank you for teaching
Thanks you explained very simply. In understood it. You are great you teaches rotational and reflection all symmetry in only 6 mins
I luv ur way of teaching
You are the best teacher in the world
Thank you so much
It's 1am and you just saved a lot of time of me racking around my brain to understand.
This is a very good video . All should watch this video.If you once learn it you will never forgot.
Thanks , l couldn't understand this topic but coming in your channel taught me this topic.🤗☺
Thank you ma'am for explaining this topic in such an easy way!
Thank you mam,This is the best Video of symmetry
You're welcome. Happy Learning :)
So Helpful and Clear Understanding Tysm Sister
Yours way of teaching is awesome 😘😘
Its LAN
Thanks for explaining.
really ......
a great 👍 teacher 👩🏫 👨🏫
I had liked 👌 your video 📽️
subscribe
and clicked the bell icon 🔔🔔
Thank you. I needed to study this for the exam, it helped me a lot. You explained very well.
Excellent way of coaching
I can finally understand what my professor has been trying to teach us in class!^_^
Thank you so much this video was very helpful. It was really really helpful for me
Thank you so much! Please keep making more videos like this! ❤️ from the Philippines :)
Thank you so much......this helped me in my Maths project
This helped me out so much thx
You're welcome! Happy Learning :)
@@InfinityLearn_NEET Very nice videos
Which app you use for editing and animation
Thanks a lot. I have a paper tomorrow and this video helped me a lot
For regular shapes, where all sides and internal angles are congruent such as equilateral triangles, squares, and regular pentagons, the order of rotational symmetry is equal to the number of the reflective axes of symmetry which in turn is equal to the number of sides the shape has.
Thank you so much. My doubts are clear now
I don't know anything before exam but when I saw your video I got whole concept love you don't memorise 👍👍👍
Thank you so much! This video helped my students a lot. Thank u.
Thank you so much. You taught this very efficiently 😊
You're most welcome Ram. We are glad that you understood the concept. We are happy that we could help you learn. You motivate us to do better. Keep watching our videos : )
Thank you so much 🙂🙂🙂 It helped me a lot in my exam
Thanku sooo much for this...I really needed it😁😁
Happy Learning :)
Jujgg
Nissa Loine chgcgcycyjcjytcjty
Me tooo
Nice
Thank you so much
Now I understand the concept
And now my concept is clear.
Thank you so much! You have explained this in such a clear, simple way, in only 6 minutes! Keep doing these amazing videos, you are helping so many people and you are helping me to become better at maths! Much love to the whole Don't Memorise team! 😊💖 I hope you and everyone is staying safe, happy and healthy and I hope your and everyone's families and friends are staying safe, happy and healthy too! 😊💖
You're most welcome and Thanks for your appreciation. We are really happy to hear that it was helpful to you. We are glad that you understood the concept. We are happy now that you are all clear with your doubts. We love our Pi Army and would like to stay connected. 🤗🤗
Great explanation, thank you!
thank you very much! it really helped my daughters.
Thank you very much for the appreciation!
To view several more playlists of various subjects for free, register on our website: bit.ly/DontMemoriseRegister
Happy Learning :)
Superb! Thank you. May God bless you!
Very helpful
*this video* aka learn everything in 6 minutes, thank you this is video makes symmetry so easy to understand!
This is wonderful! It helps understand very quickly.
My Maths teacher gave me this video
Thank you very much
I understand everything nicely
In six minutes You thought me what my math teacher couldn’t teach me in 80 minutes class we did today.
Thank you very much madame
When you do rotational symmetry do you include the 360 degrees
Exactly my question 🙋👌
Thanks mam to clear my doubt
wonderful way of explanation,simply wonderful,deserve more more views
Thank you
Great lesson! You speak so clearly and the animations along with the sound effects are very effective. Thank you for sharing this content! Keep up the great work!
thank you so much mam i loved the video and it really helped for my maths exam
Omg thank you so much Don’t Memorise! This helps so much
Thanks a lot, Lilli!
Keep watching! 🙂🙂
What a beautiful way to teach..love it
Thank you!!!!
Thanks I got all my doubts cleared with this video
This video was very helpful to me! Thank you!!
I love the way that both in verbal explaination and the vision side
Thank you very much for the appreciation and for watching Yang. :)
OMG THANK YOU SO MUCCCHHHH!!! I UNDERSTAND EVERYTHING NOW WWOOOOOOOOWWWWWW🙏🙏🙏🤗👐👏👏👏👌👌👌👌👍👍👍👍👍
Thanku
Thanks a lot
This is the best way of explaining thanks a lot ❤❤ 😊 i understood clearly❤😊
I love it! I understanded everything perfectly.
True
Literally i was confused alot but it made me memorised for my entire life
T H A N K
Y O U
My math teacher is so obnoxious I can barely learn. You honestly have done 1000x better.
Nice name btw lmao
When I have seen ur vedio rotational and reflection symmetry was a game for me.
4:50 square = 4
Triangle=3
Circle=infinite
Thanks for solving my problams
Of this chapter
wat about cylinder n prism (about rotation/reflection)
Those are 3-Dimensional shapes. Perhaps you could request a lesson, though I think it's the same concept. If you are still stuck, you might learn that not all shapes have rotational symmetry - that it is so unique it never repeats itself.
ThankYou For Teaching !!
Who is watching in 2024
Me monke
Me
Me
Dumb comment + no one cares + ur lonely+ L + ratio
Me
is it possible to have 1 rotational symmetry? or would you only be able to have 0 rotational symmetry and 2+ rotational symmetry?
Dawny Order 1 rotational symmetry is equal to no rotational symmetry.
Rotational symmetry of order 1 means it only looks the same after it goes 360 degrees. Such an object is rotationally asymmetric. Order 0 isn't possible.
there will always be at least one rotational symmetry because when rotated 360 degrees, you get the same picture as the original figure.
🤩love ur way oh teaching
It depends on the same
Thanks I understand symmetry very well I was thinking that it is so difficult but it was simple
I HAVE A DOUBT
Why does a parallelogram not have any rotational symmetry?
please telll!!!!
yes it has of 2 order
just draw a parllellogram and cut it and rotate it you will get the same as the origiginal ,2 times...
Parallelogram: Rotational Symmetry of Order 2. The same rules apply from in the video.
Thank you so much
It was really comprehensive
Please don't scroll, I just wanted to your beautiful, you don't need to be insecure! Stay healthy live song may your parents and you live long, and if they are not alive..hope they are in a better place, have a great day!
Thanks this was really informative and Easy to understand
Who all are from podar international school who have maths exam on Monday
Me
Broooo...you replied to your own comment....weird@@Demira-Talwar_123_
Me