Questions: Tell whether the transformation appears to be a rigid motion. Explain.

Tell whether the transformation appears to be a rigid motion. Explain.
Transcript text: Tell whether the transformation appears to be a rigid motion. Explain.
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Solution

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Solution Steps

Step 1: Analyze the transformation

The given transformation changes the original solid-lined hexagon ABCDEF into the dashed-lined hexagon A'B'C'D'E'F'. The dashed hexagon appears smaller than the original hexagon.

Step 2: Definition of Rigid Motion

A rigid motion, also known as an isometry, is a transformation that preserves the size and shape of a figure. This means the corresponding side lengths and angles of the pre-image and image are congruent.

Step 3: Conclusion

Since the size of the hexagon has changed, the transformation is not a rigid motion.

Final Answer:

No, the transformation does not appear to be a rigid motion because the size of the hexagon has changed. Rigid motions preserve size and shape.

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