Suppose x is any positive number. Circle 1: center (0, 0) and radius 2x

Circle 2: center (0, 0) and radius 10x

Why is circle 1 similar to circle 2?

Step 1:  Determine why circle 1 is similar to circle 2

The reason why circle 1 is similar to circle 2 is that they both expand at the same rate.  While x grows larger, both circle 1 and circle 2 grow at a proportional rate.  Circle 2 grows is 5 times bigger than circle 1 given any value 5.

When x = 3:  circle 1 = 6 and circle 2 = 30

When x = 10:  circle 1 = 20 and circle 2 = 100

the answer is a.

step-by-step explanation:

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