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A circle is sometimes/always/never

similar to another circle, because we can sometimes/always/never

map one onto the other using only dilations and rigid transformations.

User Yoannisj
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2 Answers

5 votes

Answer:

The answer is ALWAYS

User Danizmax
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A circle is always similar to another circle, because we can always map one onto the other using only dilations and rigid transformations.

Explanation:

Two Circles are said to be similar if all the linear measurements of the circles are proportional.

Lets consider if two circles have a certain ratio of their radii, , it definitely mean that all the other corresponding ratios will also have that same ratio.

Concentric circles are defined as the circles which have a common center. The area between the two concentric circles having difference in their radii is Known as annulus.

The most important property of a circle is that all points on the circle are equidistant (i.e. having the same distance) from the center point.

A circle is always similar to another circle, because we can always map one onto the other using only dilations and rigid transformations.