anonymous
  • anonymous
Circle B has a center of (−1, 5) and a radius of 4. Circle D has a center of (7, 4) and a radius of 2. Prove that the two circles are similar.
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
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.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
@Jack1 please help
Jack1
  • Jack1
similar how...? all circles are similar...? circle d is just like 1/2 the size of circle b, sáll
anonymous
  • anonymous
I know i'm just confused on this question!:/

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

Jack1
  • Jack1
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 ;(
anonymous
  • anonymous
thanks anyway but do you know anyone who can?
Jack1
  • Jack1
@ganeshie8 lil help if u have a sec man, i'm lost on this one dude...?
Jack1
  • Jack1
or @dan815 ? u got a sec? how are circles "similar"?
anonymous
  • anonymous
thanks for trying to help man!:)
anonymous
  • anonymous
@ganeshie8 please help
anonymous
  • anonymous
@dan815 could you help me on this question please?
anonymous
  • anonymous
anyone please help!
anonymous
  • anonymous
@phi
Jack1
  • Jack1
@IrishBoy123 ur pretty cluey, du u understand this Q man?
anonymous
  • anonymous
@phi i really need help with this question!
phi
  • phi
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.
IrishBoy123
  • IrishBoy123
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
anonymous
  • anonymous
okay
Jack1
  • Jack1
circles are always similar tho, right...?
anonymous
  • anonymous
yes
phi
  • phi
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
anonymous
  • anonymous
okay then what?
phi
  • phi
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.
anonymous
  • anonymous
do I have to determine a rule?
phi
  • phi
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...
anonymous
  • anonymous
oh okay sorry.
anonymous
  • anonymous
do i just picture this in mind or do i draw it?
anonymous
  • anonymous
or not at all?
phi
  • phi
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"
anonymous
  • anonymous
okay but that's not what it asks in my question! How about the other written part?
phi
  • phi
they ask, "Prove that the two circles are similar." A proof would be doing all the things I just posted.
Jack1
  • Jack1
i;m still not understanding either @phi couldn't we just right "they're circles : QED"?
anonymous
  • anonymous
but I can't take a picture of everything i just drew and put it in my question!
phi
  • phi
then just write the words that explain what you would do.
anonymous
  • anonymous
I'm still really confused
anonymous
  • anonymous
so i just put what you just wrote but in my own words?
phi
  • phi
yes. Try to use your own words.
anonymous
  • anonymous
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"
anonymous
  • anonymous
?
phi
  • phi
@Jack1 I think this is some goofy "common core" idea. In Euclidean geometry I think it is assumed circles are similar
phi
  • phi
Yes Josh, but try to rewrite it using your own words.
anonymous
  • anonymous
oh okay thank you!:)
anonymous
  • anonymous
it says prove so that would be my proof?
phi
  • phi
yes
anonymous
  • anonymous
oh okay double checking! thanks again!:)
IrishBoy123
  • IrishBoy123
@phi awesome work!

Looking for something else?

Not the answer you are looking for? Search for more explanations.