Given circle a, centered at a(7, 1) with a radius of 8 cm and circle b, centered at b(-1, 3) with a diameter of 16cm, determine which of the following transformations would establish that they are similar circles.

Hence, we need to translate circle A 8 units left and 2 units up.

Step-by-step explanation:

" Two circles are said to be similar if by the translation and by the scale factor one circle can be mapped onto another "

Now we are given circle A centered at A(7,1) with a radius of 8 cm.

Circle B, centered at B(-1, 3) with a diameter of 16 cm i.e.the radius of the circle is 8 cm.

As both the circles are of equal radius hence we just need to perform the translation to map one circle onto another.

So we have to translated circle A 8 units left and 2 units up to get the circle B.

step-by-step explanation:

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: