Rotation around a Point that is not the Origin | Geometry | Transformations
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- Опубліковано 8 вер 2024
- Geometry - Transformation - Rotation not around origin
How do you rotate a shape around a point other than the origin?
This geometry video explores the rotating a point or shape around a point on a graph that is not the origin. The rotation occurs by moving the graph to the origin, following the origin rotation rules, then moving the graph back to its original point of rotation.
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This is the best and clearest explanation we've seen.Thank you so much!
yes may more people be educated by this video :)
What if for example the rotation is 90 degrees counterclockwise about C. You know like it revolves around a already make point from the shape. Can you help?
@@Emleach28 That particular point would not move and you would follow the same algorithm for the other two points.
Oh my god I cannot express you just how grateful I am..
I've struggled for an entire month trying to rotate about a point to no avail.
But after I watched this video I am now able to do them!!
You are a life saver.
Thank you so much.
Thank you SOOOOO MUCH!!!! This made a lot more sense than the articles I tried to read! :)
Exactly
This helped my 8th grade math kiddos so much today. Many of them understood how to apply the rule principles around a center of origin (0,0) but not around an arbitrary point like (2,1). I'll be showing them this tomorrow! :)
oh my gosh thank you so much i'm an 8th grader almost graduating to 9th and i'm studying for my finals, and this topic in math i found quite difficult, and this video really helped me give a better understanding to the topic, thank you. so. much.
You explained this so well, Thank you! This was a gap in my understanding of rotation for three months, till I found your video! You rock!
Thank you! The teacher taught it a way I dont really understand and this is a lot easier. 👍🏻
3:48 i couldnt find this formula anywhere thank you
Very good! Keep in mind that the rotation rule applied hear is for a 90 degree counter clockwise rotation. The (x,y) sign change will be different for a 90 degree clockwise rotation.
yes, if you pause the video and see, there is a small note at the bottom telling you what to do for the clockwise rotations
Thanks so much sir, otherwise I loved the tutorial so much.
Thanks, this answers my question as well. Your method to this topic is to the point.
dude thank you so much! i was struggling rly badly with rotation around a center that's not the origin and u explained it so nicely! seriously thank you lots!!!!!!!!!!!!!!!!
Thank you so much!!! You’re a lifesaver (I have an exam tmrw…)
oh my god. Thank you. I didn’t understand this before, but now I know. Thank you!!
Just found this video and it's a lifesaver I have a quiz over this and I didn't understand it until I watched this. My teacher taught it in a really confusing way.
THANK YOU SO MUCH
Glad it helped!
Thank you omnipotent voice in my screen, this has really help me. Now i can finally rotate my shapes around a point that is not the origin!
6:20 - He has all his work in detailed order!
Thanks!
Oh my god Thankyou so much I’ve been trying to find this for ages most of them explained it around the origin only or used vectors to explain it around another point which just made it even more confusing
You are a beautiful one of a kind man I love you so much THANK YOU I NEEDED THIS SO BAD YOU DONT UNDERSTAND I'VE BEEN STRUGGLING
Oh my God! I watched a lot of videos but only you made it so easy to understand. It's like a life saver. Thank you thank you thank you!
THank you, this helped so much, I was stuck for like 5 hours!
BRO THIS IS AMAZING YOU ARE AMAZING YOU MADE MY LIFE SO MUCH EAISER!!! THANK YOU
Your videos teach people tricks which are very helpful this way of teaching is just fantastic I don't know what to say I'm out of words your video helps me alot thanks
SOOOOO helpful when I missed math class! Thanks a million!
Bro im so greatful to this guy it helped me so much
Wow! You have given a very simple way of doing rotation at a point. I need videos on rotation, reflection,and transformation.
This really helped a lot appreciate the video man 10/10 would recommend
i love you cherry hill math guy
This video is awesome! It taught me how to rotate shapes around a point other than the point in a great and easy way. Thank you.
U are Literally a Life Saviour❤️❤️
valid video, saving grades and futures out here
Very true. He is saving my future as a VFX artist.
Thank You 1 million times :)
thank you, everything becomes a lot more sense after watching this video:))
You're very welcome!
Thank you so much for the video!!! I've been struggling with this forever and now it's completely clear!!! I really appreciate your work thanks again!!!
Your video was very helpful!thank you!
Omg this worked. I searched many others but It did not match. But this worked thank u soo mich
THANK YOU SO MUCH
thank you so much my math finals are tomorrow and this helped me a lot!
This saved me from a mental breakdown 👍 thx, lol
Brillant! Thank you.
U HELPED ME PASS MY MATH TEST I GOT A 90 WOPHOOOOO
Saved my life I swear
This video is really good and thank you very much; you're literally an extraordinary marks saver!
thank you so much this made my life easier
THANK YOU SO MUCH your a life saver !!!!!! you explained it so clearly too ☺
8th grade is the first time I have had to watch a UA-cam video to figure it out, this helps so much
You are an actual life saver, thank you so so much!!!!
So helpful!!
Bro da goat fr😂🔥
Excellent video
Glad you liked it
Thanks this was very helpful
Great video. It is explained very well.
Perfect, just perfect
Life saviour ! Thanks
Fantastic! Many, many thanks!
thank you Sir, God bless you.
Thank you so much
Hello, I enjoyed this video, thank you
Glad you enjoyed it!
Would you always subtract even when going 90 cw?
Do you add the center of rotation's value instead of subtracting it when it's negative? Besides that point, this really helped me with rotations!
yes since subtracting a negative from a negative is the same as adding
Thank you
Hi! Can you please make a 3D version of the math? And instead of rotating by generic theta like 90,180,270 degrees, can you please use different theta like 33, 62...? thank you!!
Thank you!!!
thank you soooo muchhhh!!!!!
No problem 😊
Thank you!! This helped
TAHNK YOU SO MUCH
a very big thanks...
Thank you for this
How do you find the point of rotation when you have the pre image and the image but don’t know the point of rotation?
is it (-y,x) for 90 ccw and (y,-x) for 90 cw? or is it the other way around.
Suppose we have the set of points (x,f(x)) and we wish to rotate all those points by t radians around a certain point A = (a,f(a)). Then we can derive the transformation of the points (x,f(x)) to **(** (x-a)cos(t)-(f(x)-f(a))sin(t)+a **;** (f(x)-f(a))cos(t)+(x-a)sin(t)+f(a)**)**. This will rotate the graph around A by t radians if you consider all transformations of the points with x in Dom(f). This is basically the algbera behind this video.
Hi, I have a question... is there a reason for clockwise rotation being negative (i.e. -90 degree rotation) and counter-clockwise being positive (i.e. +90 degree rotation)?
The standard for all math that I've seen is for counter clockwise to be the positive direction. When you get to radians in precalc, it will be the same.
You are like, my guardian angel bro
Thanks, bro!
Omg, thank you, helped me get better grades in my geometry test :D
thx for this video, had a great help.
thanks so much
What if the point of rotation is (1-2) would you then subtracts 1 and add 2?
Yup exactly
3:44 How did you know it was asking for a CCW 90-degree rotation rather than a CW rotation if the question didn't specify? When I'm asked a question like this, do I just assume they're asking me to rotate CCW?
BROOO thank you so much. hope youre doing well
No problem!
Thank you!! This helped a lot :))
Thanks man
Is this only for triangle
Thank you so much! You saved me
Is this 90 degrees CW or CCW
Thank you. What a fking legend.
Wow 😮
how do i make a coordinate rule off of this. im working on a math project rn and i need one in order to get extra credit and i cant find it anywhere how to do it
What would be a practical application of this?
When you're rotating a Google Map! All of the pixels are rotating around the center of the map.
@@CherryHillMath - Wow, I really want to thank you first of all, for realizing that I was asking an actual question, and not being flippant.
I saw this response late last night driving through the Bronx in traffic, so I couldn't respond....but it was definitely food for thought. That's a great example, and I will give it some more thought.
How would i do this if the rotation point is the vertex? Would the 1st step be necessary for the vertex I’m rotating around
That point would not move since it is the point of rotation.
What if the point that you turn around is a point on the shape can you please help me out
tysm bro
how about 270 degrees?????? or 90 degrees clockwise????? thanks tho
what if center of rotation is a point like its A or something
I’m not sure, but I think you take the coordinates of that point (in this case, point A is -4, -1 ) and do it normally like you would :)
Ummm isn’t the answer counter clockwise at the end?
Yup! Counterclockwise is the default unless otherwise specified
Thank u sir
Wait how do you know where to put the negatives
Which negatives? I can help if you're more specific? What time in the video?
@@CherryHillMath you know how for A’ you got (4,-5). How did A (-6,-2) two negatives become (4,-5) a positive and negative.
@@angelli8817 The rule for 90 degrees counterclockwise is (-y, x). So (-6, -2) becomes (2, -6) then we ADD back the (2, 1) center of rotation which makes (2 + 2, -6 +1) = (4, -5)
Thx
what if the point of roation was - like (-2,-1) or (-1,2)
Uhhh how did you get the -2,-1
Summary:
subtract the offset, rotate, add the offset again
thank you!
but this is counter clock wise