Clock Wise Rotation About Any Arbitrary Point Concept with Coordinate Points GCSE

NEXT Rotation about any point: • 90 degrees Rotation of...
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Transformation with Reflection and Translation: • FREE Lesson to Myanmar...

[@AncestorsWatchingEthiopiaIsCal]

This is the most straight forward method and is easiest to understand. Thank You, Anil Kumar!

[@MathematicsTutor]

Thanks for appreciation.

[@MominKhan-pw8kq]

true, really true !!!!

[@alicechakaza4164]

I'm a teacher and my kids will be happy in sure of it . thanks for the tips buddy

[@TakingChances278]

Most useful and clear explanation of this concept. Thank you!

[@mathssir9702]

Tks. This is the best way to understand any student abt rotation exept origin rotation

[@crispinkawana2750]

I appreciate. Finally, this thing has sank into my mind.

[@iramzeb5346]

Thank you so much! This really helped me understand this concept in a simple way which seemed complicated at first, but now totally makes sense.

[@MathematicsTutor]

Thanks. Here are related examples: th-cam.com/video/GITnruIimnw/w-d-xo.html

[@milimishra2841]

Awesome I was teaching my daughter this and you have it so easy!!
Thanks

[@nihalshaji3702]

This video is so helpful, thank you so much anil sir

[@MathematicsTutor]

Thanks a lot for appreciation

[@grpsuk]

Greetings from Sri Lanka! Wonderful explanation. Good luck!

[@iamkhan1012]

THANK YOU SO MUCH YOU SAVED MY GCSEEEEEEEEEEEEEEEEEEEEE

[@mathemagiciancreator7921]

perfect sir... you deserve 100000000000000000000000000000000000000000000000 likes

[@chantalhenderson6994]

Thank you, great to show my year 7 kids.

[@kapoorravi3576]

Thank you sooooo much this was soooo simple and i understood

[@Mrsobhi1]

Thank you sir that's helps alot .

[@paramankumaresan2678]

Any angle can use this method? For example 30 degree of rotation also same rule will work?

[@TheSamuel60]

Thanks very much, for your classes, nice explanations

[@narayanastudent9392]

sir should we apply the same concept for qns like rotating about 270degrees

[@khmo5574]

Thank you so much

[@FireDragonYTC]

Very useful video sir. Thank you so much

[@MathematicsTutor]

Thanks. Here are few related videos: th-cam.com/video/GITnruIimnw/w-d-xo.html

[@sudha4235]

Very useful

[@JoseRivera-nn4qi]

Can u do the same thing except counterclockwise

[@jeyamathyillangovan9773]

appreciate

[@sasikumarn6585]

thanku

[@nayciameerab3341]

Sir 🙏✨✨

[@abeehaadeel0]

How do u suddenly go to the right at b'?

[@shiying6532]

Bestttt

[@MathematicsTutor]

Thanks for Appreciation!
All the Best to You!

[@burhanozil3360]

Thank you bro

[@MathematicsTutor]

Thanks. Here is related video: th-cam.com/video/GITnruIimnw/w-d-xo.html

[@teagensmith9166]

Thank you sir

[@MathematicsTutor]

Thanks for appreciation

[@huyanhle]

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, 1), B(2, 3) and C(3 ,0) 90 degree 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, 1) ==> Ao(1 + 1, 1 + 2) (Ao is just a name (not A*o))
= Ao(2, -1)
B(2, 3) ==> Bo(2 + 1, 3 - 2) (Bo is just a name (not B*o))
= Bo(3, 1)
C(3 ,0) ==> Co(3 + 1, 0 - 2) (Co is just a name (not C*o))
= Co(4, -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 clockwise. Hence, we use "Formula 2"
That is (X, Y) ==> (Y, -X)
Ao(2, -1) ==> A'(-1, -2)
Bo(3, 1) ==> B'(1, -3)
Co(4, -2) ==> C'(-2 , -4)
Step 3: Move/Shift the graph back to the rotaional center-point with formula below
(X + Xp, Y + Yp)
A'(-1, -2) ==> A''(-1 - 1, -2 + 2)
= A''(-2, 0)
B'(1, -3) ==> B''(1 - 1, -3 + 2)
= B''(0, -1)
C'(-2 , -4) ==> C''(-2 - 1, -5 + 2)
= C''(-3, -2)

[@andym1451]

Anil Kumar blundered. His answers A'B'C' he plotted on the graph are completely different from what he wrote as ordered pairs. All wrong.

[@anxious_noob877]

Nope! As he stated we are going to be using the point (-1, 2) as the new origin. so hes graphing it as if (-1, 2) was the original graph. Where his points match. 😊

[@denieshtan]

thankyou so much