Math Problem Statement

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

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

Solution

To determine which stone(s) cannot be mapped to another with a rigid motion, we need to understand what constitutes a "rigid motion."

Rigid motion refers to transformations such as translations (sliding), rotations, and reflections, where the shape, size, and distances between points remain unchanged. Essentially, the stones must be identical in shape and size, even if they are in different orientations or positions.

  • If a stone has a unique shape, size, or orientation that no other stone shares, it cannot be mapped to another stone using any of the rigid motions.

If you have a diagram or image of the stones, please upload it, and I can help you identify which one(s) cannot be mapped to another.

Let me know if you need further details or clarification.

5 related questions:

  1. What are the key properties of rigid motions?
  2. How can you distinguish between different types of rigid motions (translations, rotations, reflections)?
  3. Can rigid motions alter the orientation of a figure?
  4. How do you identify if two shapes are congruent under a rigid motion?
  5. What role do symmetry and size play in mapping figures using rigid motions?

Tip: Always check for congruency between figures when applying rigid motions; they must have the same shape and size.

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Math Problem Analysis

Mathematical Concepts

Rigid Motion
Congruence
Transformations

Formulas

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Theorems

Rigid Motion Theorem
Congruence of Figures

Suitable Grade Level

Grades 8-10