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lesya692 [45]
2 years ago
13

Prove that the two circles shown below are similar.​

Mathematics
1 answer:
tekilochka [14]2 years ago
4 0

Because we can transform circle A into circle B by using transformations, we conclude that circle A and B are similar.

<h3>How to prove that the two circles are similar?</h3>

We know that two figures are similar if one is a transformation of the other. So let's find the transformations that we need to apply to circle A to get circle B.

First, let's move the center. We can see that we need to translate circle A 5 units down and 3 units to the left.

Now, the radius of circle A is 5 units, while the radius of circle B is 2 units, then we have a scale factor k such that:

k*5 units = 2 units

k = 2/5

Then, if we apply the transformations to circle A.

  • shift of 5 units down.
  • shift of 3 units left.
  • dilation of scale factor 2/5.

We get circle B, so circle A and circle B are similar.

If you want to learn more about circles, you can read:

brainly.com/question/1559324

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Ac_{11}=\left|\begin{array}{ccc}4&-1\\2&1\end{array}\right|


Ac_{11}=4\times 1- -1\times 2


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Ac_{21}=-(5\times 1- 3\times 2)


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A_c{23}=-\left|\begin{array}{ccc}7&5\\-8&2\end{array}\right|


Ac_{23}=-(7\times 2 -8\times 5)


Ac_{23}=-(14-40)


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A_c{31}=\left|\begin{array}{ccc}5&3\\4&-1\end{array}\right|


Ac_{31}=5\times -1 -4\times 3


Ac_{31}=-5-12


Ac_{31}=-17


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Ac_{33}=28+35


Ac_{33}=63


Therefore in increasing order, we have;

Ac_{31}=-17,Ac_{21}=1,Ac_{11}=6,Ac_{23}=26,Ac_{12}=15, Ac_{33}=63



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