A rigid transformation can also be referred to as an
isometric transformation. The prefix "iso-" means "of the
same" and "-metric" means "measure." How does the
meaning of the word isometric relate to determining if an
isometric transformation occurred?

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Answer:

An isometric transformation creates an image that is congruent to the pre-image. All corresponding line segments and angle measures are equal.

Step-by-step explanation:

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As stated by the statement, isometric means the same measure. So, when a rigid transformation occurs all the measures of the original figure will be the same as the new figure.

We need to find how the meaning of the word isometric relates to determining if an isometric transformation occurred.

What is a rigid transformation?

In mathematics, a rigid transformation is a geometric transformation of a Euclidean space that preserves the Euclidean distance between every pair of points.

That means that you can verify that the transformation used was rigid by checking the measures of both (original and transformed) figures: if and only if the measures of the final figure are the same as the original figure the transformation was rigid.

Hence, isometric means the same measure. So, when a rigid transformation occurs all the measures of the original figure will be the same as the new figure.

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