Answer :

Final answer:

The precise nature of the transformation of pentagon EFGHI to pentagon E'F'G'H'I' is unclear without additional context, but true statements about geometric transformations include consistent changes in position, orientation, or size while maintaining certain properties like angles and distances.

Explanation:

It appears there may be a misunderstanding as the provided reference information does not pertain to geometric transformations of polygons. Instead, it discusses rates of change, which is more aligned with physics or kinematics in particular. However, if we are to discuss the true statement concerning the transformation of pentagon EFGHI to pentagon E'F'G'H'I', we would need more information about the nature of the transformation (translation, rotation, reflection, dilation, etc.).

Transformations in mathematics could lead to various changes in the shape's size, orientation, and position while preserving certain properties like angles and distances between points (in the case of rigid motions). For example:

  • If the transformation is a translation, then all points of the pentagon would move the same distance in the same direction.
  • If the transformation is a rotation, pentagon EFGHI would pivot around a point by a certain angle.
  • If the pentagon is reflected, it would be mirrored over a line creating a mirror image.
  • If it's a dilation, the pentagon would be scaled up or down, keeping similar proportions.

Learn more about Geometric Transformations here:

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