At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
so (x,y) to (-x,-y)
ok so A=(1,3), B=(-1,-1) and c = (-5,1)
alright cool thanks
While the concept is 'pretty much' straightforward, I would like to point out that negating both coordinates is a rotation of *180 degrees* about the origin and not 270.
ok so add another 90 degrees and what do i get
b=(-1,1) a=(1,-3) c=(5,1)
I'm sure you have a definite formula for a rotation by 90 degrees... Think about it.... to rotate by 270 degrees, you can think about it as FIRST rotating by 180 degrees (which you already know how to) and THEN rotating by 90 degrees.
right so it would be similar to this? |dw:1378421051079:dw|
sorry @splatter6 @terenzreignz is in fact right; feel free to give him a medal instead hehe
its alright dude you still helped me get there 3/4's of the way
Understandably, this is confusing. I'd like to first point out that the first transformation, the one by 90 degrees only:|dw:1378421333956:dw|
Involves switching the coordinates, and THEN negating the new x-coordinate (which in this case, happened to be y. Don't get confused)
label the points for me please
They ARE labeled... -.-
no i mean A,B,C
There's no need for that, just pay attention: Look, to rotate a point about the origin 90 degrees, say you originally have (p,q) What you do is switch the two coordinates: (q,p) and then NEGATE the first coordinate: (-q,p) and THAT is one rotation of 90 degrees. To rotate by 270, just perform this transformation three times on each point.
so once you negate the coords it then becomes the 180 or just 90 degrees
If you negate both coordinates, (without switching them, that is) that's 180 degrees. So you could do THAT first, and then rotate by 90 degrees using that process described above. ^
so i will take A for example A=(-1,-3)=(-3,-1)=(3,-1)and that will be the full 270 degrees?
Okay... time out: To rotate (p,q) by 270 degrees, you may do either of the following: FIRST WAY Step 1 Rotate by 180 degrees by ONLY negating both coordinates (no switching!) Step 2 Rotate by 90 degrees using the process described above. SECOND WAY Just rotate by 90 degrees THREE times using the process described above.
Either way you use, you should end up with the same answer.
ok so then A=(-1,-3)=(1,3)this is 180 now to get the full 270 A=(1,3)=(3,1)
Almost ^_^ Unfortunately, *almost* is rather indistinguishable from 'wrong' Your first transformation is correct, the rotation by 180 degrees. However, you forgot that when rotating by 90 degrees, not only do you switch the coordinates, but you should also have *negated the new first (left) coordinate* Try again... You're almost there...
ok so then A=(-3,1)
Excellent :) Sorry for putting you through all that... your reward: A shortcut ^_^ To transform by 270 degrees, simply switch the two coordinates and then negate *the new SECOND coordinate* As you can see... (-1,-3) Switch --> (-3,-1) Negate the *second coordinate* --> (-3,1) Cheers :D
dude you didn't put me through anything but me learning how to do math so i don't fails if anything i should be sorry for taking up your time so many a thanks
Though... you could post your answers to the other two points... if you're willing ^_^
B=(-1,1) C=(1,5) right?
Nope... those are just 90 degree rotations... I already gave you the shortcut... if it confuses you, just do what you did with the first point again.
is B=(-1,1) correct?
Are you guessing? That won't do... check the shortcut I gave you again.
no i'm not guessing B=(1,1)=(1,1)[that was a switch but since they're both 1's it doesn't matter lol]=(-1,1)
But I told you... switching then negating the first coordinate is a 90 degree rotation, not a 270 one.
but you said To transform by 270 degrees, simply switch the two coordinates and then negate *the new SECOND coordinate*
yes... and which one is the second coordinate?
You negated the new FIRST coordinate.
If you haven't noticed yet, it's the left one's you've been negating...
so then B=(1,-1) and C=(-1,-5)
Much better. Pay attention to details. Signing off. ---------------------- Terence out