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@Jack1 please help
similar how...? all circles are similar...? circle d is just like 1/2 the size of circle b, sáll
I know i'm just confused on this question!:/
i dont really understand... with triangles they can have different shapes so it makes sense when trying to prove they're similar... but all circles are the exact same shape... i dont get it either, sorry ;(
thanks anyway but do you know anyone who can?
@ganeshie8 lil help if u have a sec man, i'm lost on this one dude...?
or @dan815 ? u got a sec? how are circles "similar"?
thanks for trying to help man!:)
@ganeshie8 please help
@dan815 could you help me on this question please?
anyone please help!
@IrishBoy123 ur pretty cluey, du u understand this Q man?
@phi i really need help with this question!
similar means the objects have the same shape (but possible different sizes) if we take two objects and "scale" one to be the same size as the other, and then show they can be laid on top of the other, that would show they are similar.
https://www.illustrativemathematics.org/content-standards/tasks/1368 is any of this familiar to you you move one circle onto the other and shrink or enlarge it to prove they are similar
circles are always similar tho, right...?
I would start with Circle B has a center of (−1, 5) and a radius of 4 and translate (that means slide it) so its center is at (0,0) (its shape will not change) then shrink it by 2: its radius will go from 4 down to 2
okay then what?
next, Circle D has a center of (7, 4) and a radius of 2. slide D so its center is at (0,0) its radius is 2, and it will lie directly on top of the other circle (which we moved to (0,0) and shrank to radius = 2) this shows the two shapes are identical. Identical shapes mean the shapes are similar.
do I have to determine a rule?
a rule for what ? there is the procedure to translate the circles and shrink (or expand) them so they lie on top of each other. there is the "rule" that all circles are similar...
oh okay sorry.
do i just picture this in mind or do i draw it?
or not at all?
nobody else can read your mind, so you have to write down something. I would sketch (graph) the original circles then draw an arrow to show they are translated to the (0,0) origin and write down "translate the center of the circle to (0,0)" then show the two circles centered at the origin then shrink the big circle by 2 (multiply its radius by 1/2) and write "use dilation to change the size from radius 4 to radius 2" then show a picture with both circles on top of each other, and write "both circles lie on top of each other, and this shows they have the same shape" "same shape means they are similar"
okay but that's not what it asks in my question! How about the other written part?
they ask, "Prove that the two circles are similar." A proof would be doing all the things I just posted.
i;m still not understanding either @phi couldn't we just right "they're circles : QED"?
but I can't take a picture of everything i just drew and put it in my question!
then just write the words that explain what you would do.
I'm still really confused
so i just put what you just wrote but in my own words?
yes. Try to use your own words.
so this part? would sketch (graph) the original circles then draw an arrow to show they are translated to the (0,0) origin and write down "translate the center of the circle to (0,0)" then show the two circles centered at the origin then shrink the big circle by 2 (multiply its radius by 1/2) and write "use dilation to change the size from radius 4 to radius 2" then show a picture with both circles on top of each other, and write "both circles lie on top of each other, and this shows they have the same shape" "same shape means they are similar"
@Jack1 I think this is some goofy "common core" idea. In Euclidean geometry I think it is assumed circles are similar
Yes Josh, but try to rewrite it using your own words.
oh okay thank you!:)
it says prove so that would be my proof?
oh okay double checking! thanks again!:)
@phi awesome work!