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?
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.
+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.
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.
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?
+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:)
+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 ;).
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 )
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
THis video saved my life the day before my math test
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:)
Thanks so much, just made things a whole lot clearer
Your explaination helped me coding a local rotation of vectors.. Nice
you are the best teacher ever !!!!!!!!!!!!!!!!!!!!!!!!
thx a million, u saved my geo hw
you save my life after a math presentation thank you very much
My teacher never taught me this, and I needed to know it for the PARCC! This helped so much! Thank you :-)
This saved my life right before my geometry test
I wish you were my teacher, thanks a million
Thank you so much!! I was so confused by this concept at first but this video helped me alot!
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
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
@@user-nt5gg9yr1o same
@@user-nt5gg9yr1o I'm learning it in grade 9 as igcse
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... saved my grade!
Awesome Video! This really really helps! Thank You!
thank you. you just saved me a lifetime of confusion
Thank you, This video helped me pass an important test!
This was an awesome video! Thank you very much!
Thanks, your video is simple yet explains the best.
This was really helpful! Thank you so much!
Thank You So Much!! You Saved A Child From A Hungry Math Test!!!!😂
Helped a bunch, thanks so much!
omg this helped soo much!! you made the explanation very simple and easy to understand :)
thank you heather
Youre a lifesaving genius
This was very helpful, thank you very much
omg thank u su much!!, u teach way better than my teacher!
learnt something new.... Thank You. :)
Thank you very much you saved my geo homework
THANK YOU THANK YOU THANK YOU!
This helped so much!
Thank you so much😢, my teacher taught this lesson but I barely understood to. Thanks to you I understand ❤
Thank you so much for this video! Please make more! :)
life saver..
Much more helpful than my math teacher 😃
Just noticed the name of the tool at the top of the window - sorry for the silly question, it's kind of early here ;-)
U just made me pass my Cambridge exams
THANK YOU SO MUCH!!!! I GET IT NOW!!!!
LIFE SAVE THANK YOU SO MUCH
I'm *trying* to complete my math homework
U saved me 5 mins before my gcse exam
this is very helpful thank you
this video just saved my ass
what a queen🤠🤠
Thank you so very much!
Thank God for this video 🙏
So understandable thank you!!
thanks a lot
THANK YOU SO MUCH
This prevented me from going an hero on this subject :D
/b/ro
Thanks soooooo much. You saved my grade
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.
Thanks
thanks
is the same method used for finding 90 degree clockwise also?
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 u!
Thank you so much but how is 0-2 equal to a positive 2?
Amazing, thanks
Would you expect a reply 6 years later
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?
Thanks a lot 💗
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
Whoo Hooooo, This worked!
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 you!!!!
How do we find the center of origin if it's not given?
Myra Gupta it is always (0,0) unless it says otherwise.
What would we do if we had to rotate a triangle 150 degrees
you saved my math test today
Does this work for single coordinates with a fixed point of rotation.
what if i want to rotate 11pi/6 rad's ?? how it would be?
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).
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
positive rotation???
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 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 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
Extremely helpful. But how to rotate clockwise
Suraiya Binte Mostafiz (x,y) to (y,-x)
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!
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!
How to u rotate clockwise
What is the rule for 270
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:)
great... How do you do this in 3D?
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 ;).
So this would work with all degrees? such as 90, 180, 270 etc. ?
Yes.
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 )
Wait then what id it was just 90 degree clockwise rotation.
makes alot of sence
So the first tutorial was only for 90 degrees
what would be the formula for the first one?
Thx , also 6:13 "my pretend D" XDDDDDDD
+Mog Oggy coc ftw lol
do you happen to know the rules for a 270 rotation?
When I say this women saved like I was in desperate need of help.
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.
What if our point of rotation is the origin (0,0)?
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