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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?

User GTK
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2 Answers

10 votes

Answer:

Circle 2 is a dilation of circle 1 with a scale factor of 5.

Explanation:

Took the quiz and got a perfect score :)

User Geraldalewis
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10 votes

Answer:

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

User DalyIsaac
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