Question

What is the definition of center of dilation?

Answer 1

The center of dilation is a point from which all points on a plane are expanded or contracted in a geometric dilation, which is different from the physics concept of focal length.

Step-by-step explanation:

The center of dilation in mathematics is a fixed point in the plane from which all points are expanded or contracted. When discussing focal length in the context of lenses in physics, the term refers to the distance from the center of the lens to its focal point. However, in geometric dilations, the center of dilation is the invariant point from which all other points in the plane are stretched or shrunk, depending on the dilation factor. A dilation factor greater than 1 indicates an enlargement, while a factor less than 1 indicates a reduction.

Answer 2

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. The center of dilation is a fixed point in the plane.