In dilation, "k" refers to the scale factor that determines how much a shape is enlarged or reduced. If k is greater than 1, the shape is enlarged; if k is between 0 and 1, the shape is reduced. The dilation is centered at a specific point, often called the center of dilation, which affects the positioning of the transformed shape. Thus, "k" directly influences the size and proportion of the original figure.
To find the constant of dilation, you can use the formula for dilation, which is given by the image point divided by the original point. In this case, the constant of dilation ( k ) can be calculated as ( k = \frac{R'(63)}{R(21)} = \frac{63}{21} = 3 ). Therefore, the constant of the dilation is 3.
To dilate a shape from the origin, multiply the coordinates of each vertex of the shape by a dilation factor (k). If k is greater than 1, the shape enlarges; if k is between 0 and 1, the shape shrinks. For example, if you have a point (x, y) and the dilation factor is k, the new coordinates after dilation will be (kx, ky). This transformation maintains the shape’s proportions and orientation.
To increase in size. You use the dilation property in coordinative graphs.
Mean Absolute Deviation
dilation
"no bile duct dilation" means the diameter if the bile duct is normal.
Getting bigger. Dilation factor of 2, then it would get twice the size.
The dilation of 22 with scale factor 2.5 is 55.The formula for finding a dilation with a scale factor is x' = kx (k = scale factor), so x' = 2.5(22) = 55.
Cystic dilation is the growth in diameter of a tube-like structure due to cysts, or collections of fluid.
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Invariant points of a dilation are the points that remain unchanged under the transformation. In a dilation centered at a point ( C ) with a scale factor ( k ), the invariant point is typically the center ( C ) itself. This means that when a point is dilated with respect to ( C ), it either moves closer to or further away from ( C ), but ( C ) does not move. Therefore, the only invariant point in a dilation is the center of dilation.
The suffix -ectasis is used to mean dilation.Ectasis