Given: The radius of circle Ois r, and the radius of circle X is r.
Prove: Circle Ois similar to circle X.

Step-by-step explanation:

Given:-

Circle “O” with radius ‘r’

Circle “X” with radius ‘r’

prove circle O is similar to X

It is to be remembered that any figures can be proven to be similar by similarity transformations which can map one circle onto another. These transformations range from rotation, reflection, dilation etc.

We would proceed in the following steps-

∴ Since the radius of both the circles are same hence the scaling factor is also 1.

∵Now since both circles have the same centre and same radius these circles are similar.

false

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the central idea is that:

individuals should refuse to cooperate with institutions they believe unjust.

thoreau felt  that governments were more often agents of corruption than justice, even democracies, and that just because the majority feels a certain way does not make it just or correct in absolute terms. he uses the fact that slavery exists in our democracy to support this idea.

he goes on to say that, as a result, people should live true to their own internal laws regarding right and wrong, as a product of reflection and a moral life, rather than following every law that society imposes. 

step-by-step explanation: