Eric, you have to figure it it how much the counterclockwise direction is clockwise. So 90 degrees clockwise is the same as 270 degrees counterclockwise.
okay i just have a question. so i get how you would get the value if you were plotting it counter clockwise, but if it were clockwise would you just not re-add the point that you were plotting around after you had already flipped the x and y and the sign?
+Kpopfan432 When you rotate 90 degrees counter clockwise, swap your x and y values and then change the sign of your NEW x value. When you rotate 180 degrees, change each of the signs (do not swap). When you rotate 270 degrees counter clockwise, swap your x and y values and then change the sign of your NEW y value.
+Tori The Crafter We translate the shapes according to the difference of the origin and the rotation point, aligning the point with the origin. (this is "subtracting the rotation point") We then rotate the shape around the now-aligned points, which we already know how to do. We then restore the original origin by translating the shapes exactly opposite to the way we did in the first step (this is "adding the rotation point") You're right to think that steps 1 and 3 cancel each other out -- they are supposed to! But this makes it __much__ easier to perform the rotation if we do this little alignment dance. Imagine you have red socks on, and want to change into green ones, but you already have shoes on. Well, it's a lot easier to change your socks if you take your shoes off, even if you put them on again as soon as you're done. This is similar in principle. It's possible to do this all in a single step, but the formula is hard to read and would take more than 8 minutes to explain ;).
Salwa Azam It is the same method, you just have to figure out which rule to use. Meaning 90 degrees counter clockwise is the same as 270 degrees clockwise.
+Jacob Niemeyer The formulas for rotating are R90(x,y)=(-y,x) -y being the opposite of the origonal number R180(x,y)=(-x,-y) R270(x,y)= (y,-x) R-90(x,y)=(y,-x) this is when its going clockwise around the origin tese are all only for the origin. Hope it helped:)
Guido eMail I use software that comes with a Mimio tablet. I use it to put the information on the screen, write on the scree, and then record the screen.
Will this method still work if you are rotating it about a point that's in the shape? Like with your example instead of rotating it about (2,-2) could you rotate it about point A and still use the same method?
Education consists in understanding why something is so. This person only provides rote instructions and no rationale. Perhaps she herself does not know the "why", which often is the case when someone "teaches" but does not understand a concept. The problem is that so many appreciate it.
There will be no difference in case of 180,but as regards 90 degrees clockwise,then shift the position of y and x and put -1 in front of x value.Hope it was helpful )
THis video saved my life the day before my math test
Madam, you just made me pass a really important test
RedxVortex madam 😂
Thank you so much .... great strategy
Simp
@@oobert0731 you learn the word simp once and now u cant stop using it
learn what it means first pls
@@emily191 I see you are a cultured individual
I am a teacher and I used your method to teach my students ,it’s amazing thank you so much you really helped me
This is just what i needed, I have been watching videos for about 3 hours to understand this and finally found this video . Thank you so much:)
Your explaination helped me coding a local rotation of vectors.. Nice
you save my life after a math presentation thank you very much
you are the best teacher ever !!!!!!!!!!!!!!!!!!!!!!!!
Thanks so much, just made things a whole lot clearer
My teacher never taught me this, and I needed to know it for the PARCC! This helped so much! Thank you :-)
Eric, you have to figure it it how much the counterclockwise direction is clockwise. So 90 degrees clockwise is the same as 270 degrees counterclockwise.
Thank you so much!! I was so confused by this concept at first but this video helped me alot!
thank you. you just saved me a lifetime of confusion
Thank you, This video helped me pass an important test!
Thank you so much... saved my grade!
Thank you so much😢, my teacher taught this lesson but I barely understood to. Thanks to you I understand ❤
I wish you were my teacher, thanks a million
Awesome Video! This really really helps! Thank You!
Thanks, your video is simple yet explains the best.
omg this helped soo much!! you made the explanation very simple and easy to understand :)
thank you heather
This saved my life right before my geometry test
Try and not write in yellow. It doesn't come out that clearly. Besides from that it was an amazing video. Thanks a mill!!
Ali A www
thx a million, u saved my geo hw
thnx helped for grade 9 math
Xzhi u a senior now?
I'm learning this in 7th grade, things change
@@missingabrain im learning it in 8th
@@ยคŦเเค same
@@ยคŦเเค I'm learning it in grade 9 as igcse
This was very helpful, thank you very much
Just noticed the name of the tool at the top of the window - sorry for the silly question, it's kind of early here ;-)
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This helped so much!
This was an awesome video! Thank you very much!
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learnt something new.... Thank You. :)
Thank You So Much!! You Saved A Child From A Hungry Math Test!!!!😂
This was really helpful! Thank you so much!
Thank you very much you saved my geo homework
is the same method used for finding 90 degree clockwise also?
Thanks
Thank you so much but how is 0-2 equal to a positive 2?
Helped a bunch, thanks so much!
Much more helpful than my math teacher 😃
thanks a lot
what a queen🤠🤠
thanks
WoW! Tysm for teaching this good, im literally watching this for my exams and it is so helpful tho the video is a tad bit old >
Thank you so much for this video! Please make more! :)
U saved me 5 mins before my gcse exam
Youre a lifesaving genius
okay i just have a question. so i get how you would get the value if you were plotting it counter clockwise, but if it were clockwise would you just not re-add the point that you were plotting around after you had already flipped the x and y and the sign?
How do we find the center of origin if it's not given?
Myra Gupta it is always (0,0) unless it says otherwise.
Thank God for this video 🙏
positive rotation???
This does work but it's really time consuming if you were to do this on a test.
Just do one point and turn your paper around to see where the other points should go.
this video just saved my ass
THANK YOU SO MUCH
is there a specific rule that I could use to remember this for any fixed point?
+Kpopfan432 When you rotate 90 degrees counter clockwise, swap your x and y values and then change the sign of your NEW x value. When you rotate 180 degrees, change each of the signs (do not swap). When you rotate 270 degrees counter clockwise, swap your x and y values and then change the sign of your NEW y value.
thank u!
this is very helpful thank you
When I say this women saved like I was in desperate need of help.
What is the rule for 270
when you change x,y to -y,x does the first coordinate still be x
Let's say your original point is (2, 4) when you change it to (-y, x), the point becomes (-4, 2).
LIFE SAVE THANK YOU SO MUCH
what about if I would like to rotate any particular alpha degree?
Müzik Odası I am not sure how to unless you use a protractor.
What would we do if we had to rotate a triangle 150 degrees
I'm confused about the subtraction of points. Why do you subtract the point when you're going to add it back again?
+Tori The Crafter
We translate the shapes according to the difference of the origin and the rotation point, aligning the point with the origin. (this is "subtracting the rotation point")
We then rotate the shape around the now-aligned points, which we already know how to do.
We then restore the original origin by translating the shapes exactly opposite to the way we did in the first step (this is "adding the rotation point")
You're right to think that steps 1 and 3 cancel each other out -- they are supposed to! But this makes it __much__ easier to perform the rotation if we do this little alignment dance.
Imagine you have red socks on, and want to change into green ones, but you already have shoes on. Well, it's a lot easier to change your socks if you take your shoes off, even if you put them on again as soon as you're done. This is similar in principle.
It's possible to do this all in a single step, but the formula is hard to read and would take more than 8 minutes to explain ;).
U just made me pass my Cambridge exams
you saved my math test today
THANK YOU SO MUCH!!!! I GET IT NOW!!!!
How to u rotate clockwise
Very helpful but how would we do it for counter clockwise rotation? Is it the same method???
Salwa Azam It is the same method, you just have to figure out which rule to use. Meaning 90 degrees counter clockwise is the same as 270 degrees clockwise.
What if the coordinates are (0,1) , how to rotate it 180 degrees about the origin? Is the 0 going to be -0?
It will be (0, -1). There is no such thing as -0 so you technically cannot change that sign :)
Thank you. Really helped a lot :D
So understandable thank you!!
Good teaching except for the yellow color. If only a less brighter color was used.
Thank you so very much!
Does this work for single coordinates with a fixed point of rotation.
great... How do you do this in 3D?
Like everyone else you helped me pass a really important exam
(Cambridge exam)
lmao u didnt pass cambridge exam with clockwise rotations mate calm down
life saver..
Hey i was just wondering what all of the formulas for rotating are
+Jacob Niemeyer The formulas for rotating are R90(x,y)=(-y,x) -y being the opposite of the origonal number R180(x,y)=(-x,-y) R270(x,y)= (y,-x) R-90(x,y)=(y,-x) this is when its going clockwise around the origin tese are all only for the origin. Hope it helped:)
yes now i dont fail thank you so much
Cool stuff, nicely explained. May I ask what the graphical tool you are using is called?
Guido eMail I use software that comes with a Mimio tablet. I use it to put the information on the screen, write on the scree, and then record the screen.
Heather Coffey
Do you always subtract the point you are rotating about? What if the rotation point is above your other points, do you add?
Thank you
So this would work with all degrees? such as 90, 180, 270 etc. ?
Yes.
what would be the formula for the first one?
This prevented me from going an hero on this subject :D
/b/ro
do you happen to know the rules for a 270 rotation?
Will this method still work if you are rotating it about a point that's in the shape? Like with your example instead of rotating it about (2,-2) could you rotate it about point A and still use the same method?
Yes, it works for any point that you are rotating around.
+Heather Coffey thank you!
Amazing, thanks
Would you expect a reply 6 years later
what if i want to rotate 11pi/6 rad's ?? how it would be?
Education consists in understanding why something is so. This person only provides rote instructions and no rationale. Perhaps she herself does not know the "why", which often is the case when someone "teaches" but does not understand a concept. The problem is that so many appreciate it.
I'm *trying* to complete my math homework
Why does the same calculation used for a 90 rotation work for a 180 degree rotation without using an angular of rotation in the equation?
Fissle Wine I do not believe that they will work the same since they are different rules.
So the first tutorial was only for 90 degrees
do you know how to rotate 35 degreess
I am not about a rule for that. You could use a protractor but I do not know another way. Sorry!
fuck you bitch!!!
so sorry madam, my young brother said that we use the same computer. Thank you anyways for the help
What if our point of rotation is the origin (0,0)?
Extremely helpful. But how to rotate clockwise
Suraiya Binte Mostafiz (x,y) to (y,-x)
Does this work with any given points
Yes
so if I have (-4;1) when I rotate it, is it gonna be (1;4)??
+mojnu mia It depends on how much you are rotating. The example you gave above is rotating 90 degrees counter clockwise around the origin.
+Heather Coffey OK I get it now thank you
Hi sorry to bother you but why would you subtract your coordinates by 2,-2 ?(where did you get those numbers)
You subtract the point that you are rotating around and then you will add the point back in.
Thank you!
Wait then what id it was just 90 degree clockwise rotation.
Thanks a lot 💗
How are you supposed to rotate 90 degree clcokwise?
90 degrees clockwise is the same as 270 degrees counterclockwise
90 degrees clockwise is the same as 630 degrees counterclockwise
rotate -90
Raima Islam by multiplying with matrix (0 1)
(-1 0)
How do I rotate it clockwise??
Apply minus to your angle.
There will be no difference in case of 180,but as regards 90 degrees clockwise,then shift the position of y and x and put -1 in front of x value.Hope it was helpful )
Whoo Hooooo, This worked!