Which of the numbered stones shown cannot be mapped to another with a rigid​ motion?

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Part 1
Stones  enter your response here cannot be mapped to another stone with a rigid motion

Rigid motions (such as translations, rotations, and reflections) preserve the shape and size of objects, meaning two shapes can only be mapped onto each other if they are congruent and maintain the same spatial arrangement. 

To determine which stones cannot be mapped to another stone with a rigid motion, you'll need to analyze each stone's characteristics. If a stone has a distinct shape, orientation, or size that none of the others share, it cannot be mapped to any of the others using a rigid motion.

Since I don't have access to the diagram of the stones, I recommend checking if any of the stones have a different size, unique angles, or a different arrangement that cannot be achieved by simply rotating, reflecting, or translating the other stones. That stone would be the answer.

If you provide an image, I can help analyze it visually.

Would you like to share an image of the stones for further assistance?

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Here are five related questions to think about:
1. What are the different types of rigid motions?
2. How does a reflection differ from a rotation in mapping?
3. Can two shapes of different sizes be mapped by rigid motions?
4. How do symmetry and congruence play a role in rigid motions?
5. What are examples of non-rigid motions?

**Tip:** Rigid motions always preserve the lengths and angles of a shape, so size and angle differences are critical in identifying mismatches.

Which of the numbered stones shown cannot be mapped to another with a rigid motion?

Explore how rigid motions, such as translations, rotations, and reflections, preserve shapes and sizes. Determine which stone in a set cannot be mapped to another using rigid motions by analyzing their unique characteristics. Suitable for students in Grades 8-10 learning about congruence, symmetry, and transformations in geometry.

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