After watching your videos, I realize the dangers of technology. Your presentation has provided an understanding of what happens when you do a rotation from any point. Using technology, you are shown what to do, but you are not told why. Yours is my kind of teaching.
Thank you soooo much for this. I am terrible and math and struggle to learn it but you helped me a lot. Really helped me pass my math test. Thank you again
I had a literal mental crying breakdown because of this topic XD. But thanks to you, I've understood the entire topic :D. I have an upcoming IGCSE exam in a few months. So, can you plz make a video to show how to describe transformations (using only rotations)? Example: Describe the transformation that maps Triangle A onto Triangle B?
Co ordinates of original triangles are with respect to (0,0). Co-ordinates new triangle are with respect to point P so we need to find coordinate of new triangle about (0,0) then we need to fix the position of new triangle. Please check
Please Sir help me with this one ;on the grid provided,draw a square (s) with vertices (6,3) ,(7,0),(9,4),(10,1).draw also a straight lines AB and AC where the coordinates of A ,B and C are (1,-2),(3,2) and (0,1) respectively. S` is the image of of S under reflection in the line AB and and S" is the image of S` under reflection in the line AC .draw S` and S". B)Describe the transformation which maps S onto S" if the transformation is : translation and rotation
How might you do this transformation from points [A, B, C], rotate counter clockwise, and then translate it point P, using matrix algebra; linear algebra-matrix?
That is indeed interesting. One way is to think that the vertex of the square paper is at the origin of our coordinate plane. Then you can follow the steps shown in the existing videos to get the required result. That should a good application. Thanks for sharing.
I have discussed that in some of my videos. As you can see rotation of 90 and 180 degrees only needs to interchange coordinates. If we rotate for other angles we need to take help of trigonometry and sometimes Polar Coordinates. Here is a link for the Polar Coordinates: ua-cam.com/play/PLJ-ma5dJyAqqJlbFcF2eqINDAvKOvTDAe.html
Rotation of a point or a graph -90/+90 degree or 180 degree at any center point without needing to draw any graph. Formula 1: Rotation of a graph 90 degree anti-clockwise (or counter-clockwise) about origin (0,0) (X, Y) ==> (-Y, X) Formua 2: Rotation of a graph 90 degree clockwise (or 270 degree clockwise) about origin (0,0) (X, Y) ==> (Y, -X) Formula 3: Rotation of a graph 180 degree anti-clockwise (or counter-clockwise) about origin (0,0) (X, Y) ==> (-X, -Y) To do mathematical calculation you need to do 3 following steps. (Note: (Xp , Yp) is the name of center-point of rotaion of the graph, (not X*p, Y*p)) Step 1: Move/Shift the graph to origin (0,0) (X - Xp, Y - Yp) Formula 4 (Xp and Yp are just names (not X*p, Y*p)) Step 2: Use according Formula 1, 2 or 3 for rotational graph -90 degree, 90 degree or 180 dregree to rotationally solve the this step Step 3: Move/Shift the graph back to the rotaional center-point with formula below (X + Xp, Y + Yp) Formula 5 (Xp and Yp are just names (not X*p, Y*p)) ============= I am using example in this video clip to mathematically solve the method above Example: Rotate the triangle graph of points A(-1,2), B(-4, 4) and C(-4,0) 90 degree counter-clockwise about the center-point P(Xp, Yp) = (1, 2) Solve: Step 1: Move/Shift the graph to origin (0,0) (X - Xp, Y - Yp) A(-1, 2) ==> Ao(-1 - 1, 2 - 2) (Ao is just a name (not A*o)) = Ao(-2, 0) B(-4, 4) ==> Bo(-4 - 1, 4 - 2) (Bo is just a name (not B*o)) = Bo(-5, 2) C(-4, 0) ==> Co(-4 - 1, 0 - 2) (Co is just a name (not C*o)) = Co(-5, -2) Step 2: Use according Formulae 1, 2 or 3 for rotational graph -90 degree, 90 degree or 180 dregree to rotationally solve the this step. In this step, the question says rotate 90 degree counter-clockwise. Hence, we use "Formula 1" That is (X, Y) ==> (-Y, X) Ao(-2, 0) ==> A'(0, -2) Bo(-5, 2) ==> B'(-2, -5) Co(-5, -2) ==> C'(2 ,-5) Step 3: Move/Shift the graph back to the rotaional center-point with formula below (X + Xp, Y + Yp) A'(0, -2) ==> A''( 0 + 1, -2 + 2) = A''(1, 0) B'(-2, -5) ==> B''(-2 + 1, -5 + 2) = B''(-1, -3) C'(2 ,-5) ==> C''(2 + 1, -5 + 2) = C''(3, -3)
Great Question. Coordinate plane helps to provide an easy reference and are therefore used most of the time. You can use other convenient references to describe rotation depending on situations. .Example Rotate about the corner, about the school, or even star position. I hope that helps.
Thanks. Here is the change you need to do for Clock-wise rotation. (x, y) will be changed to (y, -x) as explain around 2 min in this video. Then follow the same strategy to get the answer. Hope that helps.
I struggled with this the day before a quiz and a friend recommended this to me, thanks!
buddy, did you notice that only the sign of Y changes?
same
this man has taught me more then my teachers have for this
Great video
After watching your videos, I realize the dangers of technology. Your presentation has provided an understanding of what happens when you do a rotation from any point. Using technology, you are shown what to do, but you are not told why. Yours is my kind of teaching.
Thanks a lot for appreciation. Share these videos with friends.
Very beautifully explained. Thank you so much.
You're most welcome
Thankyou so much
Thanks for appreciation
Excellent Example
Thank you so much! Your video explains better than any other videos I found you are the best thank u save my life!
Thanks for appreciation. All the Best!
Thanks again.You are really a very noble person.
Thank you soooo much for this. I am terrible and math and struggle to learn it but you helped me a lot. Really helped me pass my math test. Thank you again
Omg dude u saved my life, my useless brother cant even help me but again thank you so much
Thanks. Post questions or send email to anil.anilkhandelwal@gmail.com for help
Great thanks again
Great explanation, thank you
Excellent. I just suggest you label the points for the image.
I'm finally able to solve the question thanks to your video.
Thank you! This helped me on my homework.
Thanks. Feel free to post question if you don't find any helpful video. Thanks for watching
I had a literal mental crying breakdown because of this topic XD. But thanks to you, I've understood the entire topic :D. I have an upcoming IGCSE exam in a few months. So, can you plz make a video to show how to describe transformations (using only rotations)? Example: Describe the transformation that maps Triangle A onto Triangle B?
A video on that would be helpful! Please make one sir would appreciate it.
Video on describing transformation using rotations please🙌
@@sarahpanga Thank uuuuuu!! 😅
@@spanga1610 Thank uuuu!!
Thank you we shall continue work together
Great help
I m a teacher i like ur method tnx u sir
Co ordinates of original triangles are with respect to (0,0). Co-ordinates new triangle are with respect to point P so we need to find coordinate of new triangle about (0,0) then we need to fix the position of new triangle. Please check
Great video.Thanks a lot.Keep up the good work.
Thanks for appreciation
Clock-wise rotation video: ua-cam.com/video/-eIAApMFgHc/v-deo.html
This video helped me a lot!!!
I have a question what if it is 90 clockwise and your new triangle is in the spot what do you do then?
Keep going
Not the hero we needed but the hero we deserved
Thanks sir
This was really helpful for my exam!!!
Thank you so much!
Because I have a test today
thank you!! :)
Thank You I pass my exam because of this
Thank you Sir!!!
Can you make a video about rotating a point without using a coordinate plane? Thank you so much!
thanks, the quick lecture helps a lot! I absolutely loved it and think you are the real deal.
Thank you!! I have a test tomorrow and this helped so much!
All the Best!
Thank you so much man
thank you soo much! this helped me on my homework. I know fully understand!
Thanks
that's is the beauty!! tysm man
you are really cool
Sir you are Aamzing:)
Thank you so much!
Thanks for you time and appreciation. Also watch a similar video: ua-cam.com/video/-eIAApMFgHc/v-deo.html
Please Sir help me with this one ;on the grid provided,draw a square (s) with vertices (6,3) ,(7,0),(9,4),(10,1).draw also a straight lines AB and AC where the coordinates of A ,B and C are (1,-2),(3,2) and (0,1) respectively. S` is the image of of S under reflection in the line AB and and S" is the image of S` under reflection in the line AC .draw S` and S".
B)Describe the transformation which maps S onto S" if the transformation is : translation and rotation
Thank you it was very clear and understanding.
nice explanation
+Mobeen Zulfiqar Thanks
Will this work if you are rotating 90 degrees clockwise around a point?
Thank you Anil Kumar. But how can I rotate to 180 and other angles as simple as this
This man save me, i watched this a day before my test and i got 2nd in my class tysmmmmm!!!!!!
Thank you❤❤
How might you do this transformation from points [A, B, C], rotate counter clockwise, and then translate it point P, using matrix algebra; linear algebra-matrix?
Thank you.It would be great help if you could explain how to rotate about a vertex on a squared paper without the coordinate plane.
That is indeed interesting. One way is to think that the vertex of the square paper is at the origin of our coordinate plane. Then you can follow the steps shown in the existing videos to get the required result. That should a good application. Thanks for sharing.
Is the rule applicable for 90 clockwise rotation?
thank you so much for sharing this . this is so helpful.
Thank you!
thank you so much
thanks
Thanks for appreciation!
How you can take this shot
Please could you post videos for 45° rotation clockwise and anticlockwise?
I have discussed that in some of my videos. As you can see rotation of 90 and 180 degrees only needs to interchange coordinates. If we rotate for other angles we need to take help of trigonometry and sometimes Polar Coordinates. Here is a link for the Polar Coordinates: ua-cam.com/play/PLJ-ma5dJyAqqJlbFcF2eqINDAvKOvTDAe.html
What if it was clockwise instead of anti clockwise? You switch the values and put negative aswell?
See
Mahika SHARMA's reply further down below.
Rotation of a point or a graph -90/+90 degree or 180 degree at any center point without needing to draw any graph.
Formula 1: Rotation of a graph 90 degree anti-clockwise (or counter-clockwise) about origin (0,0)
(X, Y) ==> (-Y, X)
Formua 2: Rotation of a graph 90 degree clockwise (or 270 degree clockwise) about origin (0,0)
(X, Y) ==> (Y, -X)
Formula 3: Rotation of a graph 180 degree anti-clockwise (or counter-clockwise) about origin (0,0)
(X, Y) ==> (-X, -Y)
To do mathematical calculation you need to do 3 following steps.
(Note: (Xp , Yp) is the name of center-point of rotaion of the graph, (not X*p, Y*p))
Step 1: Move/Shift the graph to origin (0,0)
(X - Xp, Y - Yp) Formula 4
(Xp and Yp are just names (not X*p, Y*p))
Step 2: Use according Formula 1, 2 or 3 for rotational graph -90 degree, 90 degree or 180 dregree to rotationally solve the this step
Step 3: Move/Shift the graph back to the rotaional center-point with formula below
(X + Xp, Y + Yp) Formula 5
(Xp and Yp are just names (not X*p, Y*p))
=============
I am using example in this video clip to mathematically solve the method above
Example: Rotate the triangle graph of points A(-1,2), B(-4, 4) and C(-4,0) 90 degree counter-clockwise about the center-point P(Xp, Yp) = (1, 2)
Solve:
Step 1: Move/Shift the graph to origin (0,0)
(X - Xp, Y - Yp)
A(-1, 2) ==> Ao(-1 - 1, 2 - 2) (Ao is just a name (not A*o))
= Ao(-2, 0)
B(-4, 4) ==> Bo(-4 - 1, 4 - 2) (Bo is just a name (not B*o))
= Bo(-5, 2)
C(-4, 0) ==> Co(-4 - 1, 0 - 2) (Co is just a name (not C*o))
= Co(-5, -2)
Step 2: Use according Formulae 1, 2 or 3 for rotational graph -90 degree, 90 degree or 180 dregree to rotationally solve the this step.
In this step, the question says rotate 90 degree counter-clockwise. Hence, we use "Formula 1"
That is (X, Y) ==> (-Y, X)
Ao(-2, 0) ==> A'(0, -2)
Bo(-5, 2) ==> B'(-2, -5)
Co(-5, -2) ==> C'(2 ,-5)
Step 3: Move/Shift the graph back to the rotaional center-point with formula below
(X + Xp, Y + Yp)
A'(0, -2) ==> A''( 0 + 1, -2 + 2)
= A''(1, 0)
B'(-2, -5) ==> B''(-2 + 1, -5 + 2)
= B''(-1, -3)
C'(2 ,-5) ==> C''(2 + 1, -5 + 2)
= C''(3, -3)
Clear solution. Thanks
What should we do if we have rotate a 3D figure(x,y,z) by 90°?
Great question.
@@MathematicsTutor Thank you Sir. But I wish you reply for my question.
Thank You
Thank you so much ☺️☺️☺️
Thanks. Share and Subscribe, if you like!
this method is just for counterclockwise only?
Math exam tomorrow, wish me luck!
All the Best!
how’d u do
very clear instructions to follow. made the task easy to do now. thank you,
Thanks for appreciation. Feel free to post questions you need help with. Thanks
Also how can we rotate a shape without any coordinate plane?
Great Question. Coordinate plane helps to provide an easy reference and are therefore used most of the time. You can use other convenient references to describe rotation depending on situations. .Example Rotate about the corner, about the school, or even star position. I hope that helps.
what if they ask me for the coordinates afrer rotating it
shouldnt it be A(1,2 B(-1,-3 C(3,-3......taken from the original plane
sir kindly solve this" The rotation 90° clockwise, centre (1, 1), maps triangle A onto triangle D.""
Did not give triangle A or D. Send the question with picture to mu email: anil.anilkhandelwal@gmail.com
Is meant to be ‘change the sign for y’
It was good! I hate trial and error, and this method removes the guess work
Indian man is smarter than Einstein on UA-cam
Can you please make a video about 180 degrees rotation?? I need it by tomorrow!! I have to take a test!
Kanai O'olaunamoakuioilakali
Sure will do so. Thanks
Here are 2 videos
ua-cam.com/video/J3TaVoFIpuk/v-deo.html
ua-cam.com/video/GdkFw_lMATg/v-deo.html
All the Best
Sungi Choi for 180degrees all you do is swap the value of X and y both without swapping their positions for clockwise and counterclockwise
Would you be able to help with any questions please?
Yes, Post as many questions as you want.
kon 55 log dislike kurtea hea pta nahi jub etna easy way mea koi teacher teach kur reha hea feer bhi.#shame_on_them.
And what about -90 degrees
That is same as 90 degrees counterclockwise!
what if we need to rotate it clock wise
Thanks. Here is the change you need to do for Clock-wise rotation. (x, y) will be changed to (y, -x) as explain around 2 min in this video. Then follow the same strategy to get the answer. Hope that helps.
+Anil Kumar thankyou, you do explain so well. But idk why i am still not getting my answer right.
But you did your job, thanks
I will make a video for you and post soon. Also let ma have your question for which you are not getting the right answer. Thanks
Video to explain cw rotation about any point: ua-cam.com/video/-eIAApMFgHc/v-deo.html
5:34
Yo mate you got the cords wrong
Where exactly
Gonna use this to skip math 1 on a test. Wish me luck!
All the Best!
that should be anticlockwise
anticlockwise and counterclockwise is same. Thanks
Related Playlist: ua-cam.com/play/PLJ-ma5dJyAqqiin9SR3is7gS5Bao6qPQu.html
Wow that's really confusing.
No
I'm sorry to say that the English is wrong. The sign of Y changes and X remains the same, when swapped.
DEAR SIR I AM FROM HINDI MEDIUM AND I DIDN'T ANYTHING IN YOUR VIDEO
just joking
potty
great video
thank you so much
Thank you
Thanks. Here are related videos: ua-cam.com/video/YMKPm3K6Fmk/v-deo.html
thanks
Thank you
Thank you