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# What is center of dilation in mathematics?

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In mathematics, the term "center of dilation" refers to a constant point on a surface from which all other points are either enlarged or compressed. The center of dilation and the scale factor comprise the two properties of a dilation.

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A dilation is a type of transformation of a two-dimensional geometric figure that yields an image, which is similar in form to the initial object but varies in size. The scale factor determines the degree or amount to which the object is increased or decreased. The origin of a coordinate plane with the points x = 0 and y = 0 is the most common center of dilation in geometry.

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## Related Questions

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A circle is defined as the set of all points in a plane that are the same distance from another point, which is called the center of the circle. When these points are connected, they form a closed curve. The equation for a circle on the Cartesian coordinate plane is x squared plus y squared equals r squared, where r is the radius of the circle.

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The term "geometric shape" refers to any shape that remains virtually unchanged if it is moved around, flipped or reflected off of a surface. When manipulated, a geometric shape does not create a new shape; it remains intact. Examples include the circle, square, triangle, rectangle, hexagon and octagon.

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The term boiling point elevation refers to solutions having higher boiling points than pure solvents. Boiling point elevation is a colligative property of a solution.