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determining whether a transformation is isometric the transformation ma…

Question

determining whether a transformation is isometric
the transformation maps △abc to △abc.
which statement is true about the transformation?
it is not isometric because all side lengths and angle measures remained the same.
it is isometric because not all side lengths and angle measures remained the same.
it is not isometric because not all side lengths and angle measures remained the same.
it is isometric because all side lengths and angle measures remained the same.

Explanation:

Step1: Recall isometric - transformation definition

An isometric transformation is a transformation that preserves distances and angles. That is, all side - lengths and angle measures remain the same after the transformation.

Step2: Analyze the given triangles

From the figure, if all side lengths and angle measures of $\triangle ABC$ and $\triangle A'B'C'$ are the same, the transformation is isometric.

Answer:

It is isometric because all side lengths and angle measures remained the same.