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ganeshie8
 one year ago
Is it possible to flip a shape using below transformations :
1) translate
2) rotate about a point
3) scale about a point
ganeshie8
 one year ago
Is it possible to flip a shape using below transformations : 1) translate 2) rotate about a point 3) scale about a point

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starwars18
 one year ago
Best ResponseYou've already chosen the best response.0If by scale you mean change size, then I don't believe so.

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1well we can use isometric transformations... but translate does nothing to a shape.

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1Like, I have access to those listed transformations only. I have been trying to flip a shape about a line using them but it seems almost impossible..

starwars18
 one year ago
Best ResponseYou've already chosen the best response.0You can't flip a shape like in actuality, but you may be able to rotate it so it seems like it has flipped

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1well we can't change the size.. that's a non isometric transformation. We don't want that. Isometric transformations preserve the preimage and the angles.

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1isometry preserves shape

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1yeah i see.. so scaling is not useful, how can we achieve flip effect by rotating @starwars18

starwars18
 one year ago
Best ResponseYou've already chosen the best response.0can you cross the line by translation? if you can cross it, rotate so the same point that would be flipped touches the line, then translate it so it touches the line like it was flipped. i think...

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1dw:1435835651970:dw

starwars18
 one year ago
Best ResponseYou've already chosen the best response.0ok nvrmind, my idea wouldn't work

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1consider above shape \(\color{blue}{F}\) I'd like to flip it over that red line \(y=x\)

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1let's see... there's reflection, rotation, glide reflection...

starwars18
 one year ago
Best ResponseYou've already chosen the best response.0idk about this, and i gtg. good luck

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1Okay np, thanks for trying :)

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1I think my class did this last semester . My professor assigned a bunch of letters and we had to find the glide reflections, reflections, rotations... if any

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1interesting, the only tools available to me are `translation` and `rotation`

Sachintha
 one year ago
Best ResponseYou've already chosen the best response.1I think scale is useful. :D

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1no. We can't change the size otherwise it's a non isometric transformation and we don't want that.

Sachintha
 one year ago
Best ResponseYou've already chosen the best response.1But what happens if we scale down beyond the smallest size possible? Won't we get a flipped one? Just curious to know. :)

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1anyway @ganeshie8 the letter F was assigned ... oh wait now I remembered. I had to find the axis of symmetry

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1Isometric transformations preserve the angles and preimage. We can't change it's size. Isometry retains shape too.

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1@Sachintha do you mean negative scaling ?

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1on top of reflections and rotations ... or glide reflections if any @ganeshie8

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1let me try scaling that F using scale factors of 1 along x and 1 along y that should reflect the object over y axis i guess

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1scaling x coordinates by 1 and y coordinates by 1 produces this dw:1435837233886:dw which is indeed a reflection over y axis

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1how do i go about reflecting over that red line ?

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1I got that reflection too ... for the yaxis

Sachintha
 one year ago
Best ResponseYou've already chosen the best response.1Translating and some rotating. I hope. :)

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1maybe reflect on the xaxis and somehow that would hit the red line.

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1if I remembered correctly translation is like F F F F F F F nothing happens. I used to know a site that did those pictures that showed all 8 isometric transformations

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1scaling x coordinates by 1 and y coordinates by 1 produces this dw:1435837471541:dw

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1http://www.regentsprep.org/regents/math/geometry/gt0/trans2.gif translation for a triangle for example

Sachintha
 one year ago
Best ResponseYou've already chosen the best response.1How about taking it to the mirror position by translating along x and y axis. Then rotating 90 deg clockwise?

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1maybe .. hmm we can rotate that new F (the one reflected along the yaxis by a certain degree ... or try to

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1dw:1435837576558:dw

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1you mean something like below, then rotate ? dw:1435837659455:dw

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1dw:1435837729251:dw

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1if we use the original F and rotate it a bit we can pass through that red line faster.

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1either rotation by a certain degree.... or reflection along the xaxis ?!?!

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1dw:1435838121146:dw reflection along the x axis... looks crummy ...