Math Problem Statement

(a) Which rigid motion is shown above?

A Translation

B Rotation

C Reflection

Which rigid motion is shown above? A) Translation B) Rotation C) Reflection

Solution

In the diagrams, the shapes appear to be congruent, and the orientation of the shapes has not changed, as the corresponding vertices are in the same order. Based on the position of the shapes, the transformation from the left shape to the right one involves sliding the entire figure without rotation or reflection. This describes a translation.

Thus, the correct answer is A: Translation.

Would you like more details or have any questions about this? Here are some related questions:

  1. What is the definition of a rigid motion in geometry?
  2. How can you differentiate between translation, rotation, and reflection?
  3. Can a translation change the size or orientation of a shape?
  4. How would you represent a translation algebraically on a coordinate plane?
  5. What are some real-life examples of translation in geometry?

Tip: When identifying translations, check if the shape is simply shifted without altering its orientation.

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Math Problem Analysis

Mathematical Concepts

Rigid motions
Congruence
Transformations in geometry

Formulas

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Theorems

Properties of rigid motions
Translation theorem

Suitable Grade Level

Grades 6-8