Final answer:
Dilation produces a similar figure.
A dilation in geometry is indeed true to produce a figure similar to the original, maintaining the same shape but altering the size.
Step-by-step explanation:
The statement 'A dialatin produces a simlar figure' is False. The correct term is 'dilation', not dialatin. When a figure undergoes dilation, it becomes larger or smaller but still maintains the same shape. The resulting figure is similar to the original figure, meaning that corresponding angles are congruent and corresponding sides are proportional.
A dilation in geometry is indeed true to produce a figure similar to the original, maintaining the same shape but altering the size.
The statement 'A dialation produces a similar figure' is true. In mathematics, specifically in geometry, a dilation is a transformation that produces an image that is the same shape as the original, but is a different size. This type of transformation maintains the proportions and angles of the original figure; hence, the original and the image are similar figures. Examples of dilations can be seen in various contexts, such as in the expansion or contraction of shapes in a plane.