Rotation around a Point that is not the Origin | Geometry | Transformations
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- เผยแพร่เมื่อ 18 ต.ค. 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.
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! :)
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 SOOOOO MUCH!!!! This made a lot more sense than the articles I tried to read! :)
Exactly
Thank you! The teacher taught it a way I dont really understand and this is a lot easier. 👍🏻
I’m currently taking an advanced curriculum, and this is the simplest video I found! Thank you so much!
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!!!!!!!!!!!!!!!!
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 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!
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.
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 so much!!! You’re a lifesaver (I have an exam tmrw…)
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
3:48 i couldnt find this formula anywhere thank you
THANK YOU SO MUCH
Glad it helped!
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
This really helped a lot appreciate the video man 10/10 would recommend
Wow! You have given a very simple way of doing rotation at a point. I need videos on rotation, reflection,and transformation.
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 HELPED ME PASS MY MATH TEST I GOT A 90 WOPHOOOOO
SOOOOO helpful when I missed math class! Thanks a million!
BRO THIS IS AMAZING YOU ARE AMAZING YOU MADE MY LIFE SO MUCH EAISER!!! THANK YOU
U are Literally a Life Saviour❤️❤️
THank you, this helped so much, I was stuck for like 5 hours!
oh my god. Thank you. I didn’t understand this before, but now I know. 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 for the video!!! I've been struggling with this forever and now it's completely clear!!! I really appreciate your work thanks again!!!
thank you so much my math finals are tomorrow and this helped me a lot!
8th grade is the first time I have had to watch a TH-cam video to figure it out, this helps so much
Bro im so greatful to this guy it helped me so much
i love you cherry hill math guy
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
THANK YOU SO MUCH!! THIS HELPED ME A LOT
valid video, saving grades and futures out here
Very true. He is saving my future as a VFX artist.
Your video was very helpful!thank you!
thank you, everything becomes a lot more sense after watching this video:))
You're very welcome!
THANK YOU SO MUCH
This saved me from a mental breakdown 👍 thx, lol
Saved my life I swear
Thank You 1 million times :)
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
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?
If the rotation is counter clockwise would it be addition instead of subtraction on the points?
This video is really good and thank you very much; you're literally an extraordinary marks saver!
You are an actual life saver, thank you so so much!!!!
Brillant! Thank you.
that was ecellent thank you so mch best explaination.
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 SO MUCH your a life saver !!!!!! you explained it so clearly too ☺
thank you so much this made my life easier
Would you always subtract even when going 90 cw?
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?
Excellent video
Glad you liked it
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
Bro da goat fr😂🔥
So helpful!!
Life saviour ! Thanks
Great video. It is explained very well.
Fantastic! Many, many thanks!
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.
thank you Sir, God bless you.
Hello, I enjoyed this video, thank you
Glad you enjoyed it!
Thank you so much
is it (-y,x) for 90 ccw and (y,-x) for 90 cw? or is it the other way around.
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.
You are like, my guardian angel bro
Thanks, bro!
What if the point of rotation is (1-2) would you then subtracts 1 and add 2?
Yup exactly
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.
Thanks this was very helpful
What if the point that you turn around is a point on the shape can you please help me out
Is this only for triangle
Thank you
Thank you!! This helped
Thank you for this
Is this 90 degrees CW or CCW
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.
Thank you!! This helped a lot :))
thx for this video, had a great help.
Thank you!!!
thank you soooo muchhhh!!!!!
No problem 😊
a very big thanks...
how about 270 degrees?????? or 90 degrees clockwise????? thanks tho
TAHNK YOU SO MUCH
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)
Thank you. What a fking legend.
Thank you so much! You saved me
Uhhh how did you get the -2,-1
BROOO thank you so much. hope youre doing well
No problem!
thanks so much
Thanks man
Omg, thank you, helped me get better grades in my geometry test :D
What about a 180 degree and 270 degree rotation? Is it the same?
It is! the only difference would be on the step where where you apply the rotation rule. 180 and 270 have different rules. 270 is (y, -x) and 180 is (-x, -y).
@@CherryHillMath All right, thanks.
Ummm isn’t the answer counter clockwise at the end?
Yup! Counterclockwise is the default unless otherwise specified
what if the point of roation was - like (-2,-1) or (-1,2)
Summary:
subtract the offset, rotate, add the offset again
thank you!
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 :)
Wow 😮
ha, nice. 10,000 views. this is my teacher in senior year :)
this is my teacher in 8th grade...
hot
Freshman teacher 23K views