Circle a has center of (−2, 4) and a radius of 4, and circle b has a center of (3, 9) and a radius of 8. what steps will show that circle a is similar to circle b? translate circle a using the rule (x − 5, y − 5). dilate circle a by a scale factor of 2. reflect circle a over the x-axis. rotate circle a 90° clockwise about the center.

we know thatfigures can be proven similar if one, or more, similarity transformations (reflections, translations, rotations, dilations) can be found that map one figure onto another.  in this problem  to prove circle a and circle b are similar, a translation and a scale factor (from a dilation) will be found to map one circle onto another. we have that  circle a is centered at (-2,4) and has a radius of 4   circle b is centered at (3,9) and has a radius of 8 step 1move the center of the circle a onto the center of the circle b the transformation has the following rule (x,> (x+5,y+5) so (-2,> (-2+5,4+> (3,9) so center circle a is now equal to center circle b  the circles are now concentric (they have the same center) step 2a dilation is needed to increase the size of circle a to coincide with circle b scale factor=radius circle b/radius circle > 8/> 2 radius circle a will be=4*scale > 4*> 8 radius circle a is now  equal to  radius  circle b  a translation, followed by a dilation  will map one circle onto the other, thus proving that the circles are similar

the answer is

the option 

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step-by-step explanation:

step-by-step explanation: given equation a = h(b 1+b 2)

also we are given values of a, h and b 1 as :

a = 16, h = 4, and b 1 = 3.

in order to solve it for b 2, we need to plug the given values of   a, h and b 1 .

therefore, plugging values of   a, h and b 1   in given equation, we get

16 = 4( 3 + b 2)

first dividing both sides by 4, we get

4 = 3 + b 2

subtracting 3 from both sides, we get

4 -3 = 3 -3 + b 2

1 = b 2.