9
QuizMultiple Choice

Construct Regular Polygons

Question 9 • *CR CCSS Math 2 S2 [M2960OX]

Which of the following explains why all circles are similar?

Answer
A
All circles are polygons, and therefore all circles have the same shape.
B
All circles have the same shape but different radii.
C
All circles have the same radii but different shapes.
D
All circles have the same diameter, and therefore have the same shape.

Explanation

All circles have the same shape, even though their sizes can differ. Their radii may be different, but enlarging or shrinking a circle preserves its shape, so any two circles are similar. Choice B states this correctly.

AI-written and checked against the verified answer.

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