Circle A with center at (3, 4) and radius 2 is similar to circle B with center at (−4, −5) and radius 3. Below is an incorrect informal argument for proving two circles are similar:Step 1 Translate circle B to the right 9 units and up 7 units to form concentric circles.Step 2 Dilate circle B to be congruent to circle A using scale factor of k = r sub two over r sub one equals two over threeStep 3 When an object is dilated, the dilated object is similar to the pre-image, thus the two circles are similar.What is the first incorrect step, and how can it be fixed?A. All steps are correctB. Step 1, translate circle B to the right 7 units and up 9 unitsC. Step 2, use scale factor of k = r sub two over r sub one equals three over twoD. Step 3, replace dilated with translated

Question
Answer:
we have that

Step 1
Translate circle B to the right 9 units and up 7 units to form concentric circles-------> this is incorrect
because 
the correct is translate circle B circle B to the right 7 units and up 9 units
so
center B (-4,-5)------> (-4+7,-5+9)----> (3,4)----> is ok

Step 2
Dilate circle B to be congruent to circle A using scale factor of k = two over three-------> is correct
k=2/3
so
rB*k------> 3*(2/3)-----> 2 units----> is ok

Step 3
 When an object is dilated, the dilated object is similar to the pre-image, thus the two circles are similar---------> is correct
because
center B with the translate---------> is equal to center A
radius B dilated with the scale factor is equal to radius A 
therefore

the answer is
B. Step 1, translate circle B to the right 7 units and up 9 units
solved
general 4 months ago 7276