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Circle E with center at (−5, 3) and radius of 8 is similar to circle F with center at (1, 2) and radius of 4. An incorrect informal argument for proving the two circles are similar is shown.
Step 1 Translate circle E to the right 6 units and down 1 unit to form concentric circles.
Step 2 Dilate circle E to be congruent to circle F using scale factor of k equals r sub two over r sub one equals 8 over 4 equals 2 period
Step 3 When an object is dilated, the dilated object is similar to the pre-image, thus the two circles are similar.
Which step is incorrect, and how can it be fixed?
Group of answer choices
Step 1, circle E should have been translated right 1 unit and down 6 units
Step 2, circle E should have been dilated using scale factor of k equals r sub two over r sub one equals 4 over 8 equals one half
The scale factor is defined as image/preimage, so since the image is circle F and the preimage is circle E, k should be equal to (radius of F)/(radius of E), or 1/2, not 2.
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