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Because the distance from one point at the circumference through the center to another point at the circumference is always the same, at an infinite set of coordinates along the circle (anywhere, relative to the size of the circle, and always providing an axis which perfectly dissects the circle).
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Earn +20 ptsQ: Why does a circle have infinite lines of symmetry?
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Continue Learning about Geometry
How many lines of symmetry does a cyilder have?
A cylinder has an infinite number of lines of symmetry (because a circle has an infinite number of lines of symmetry).
How many lines can be drawn through a given point on a circle that is tangent to the circle?
Infinite lines because a circle has infinite lines of symmetry.
How many lines of symmetry in a circle?
That number is infinite. Every diameter of a circle is a line of symmetry.
What shape has an infinite number of lines of symmetry?
circle
How many planes of symmetry are there in cylinder?
There are infinite planes of symmetry in a cylinder in the same way that a circle has infinite lines of symmetry.
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