Math Problem Statement

Which image shows a rotation? (Options: A, B, C)

Solution

The question asks which image shows a rotation from the options A, B, and C. Let's analyze each image to determine which represents a rotation:

  • A: The triangle appears to be reflected across a vertical axis, which is a reflection, not a rotation.
  • B: This image shows the triangle rotated about a point, changing its orientation compared to the original position. This is a rotation.
  • C: The triangle seems to have been translated (shifted) without changing its orientation, indicating a translation rather than a rotation.

The correct answer is B because it shows the triangle rotated from its original position.

Do you have any further questions or would you like more details? Here are some related questions:

  1. What is the difference between reflection and rotation in transformations?
  2. Can a shape be both rotated and reflected at the same time?
  3. How can we calculate the angle of rotation for a given figure?
  4. What is a translation in geometric transformations?
  5. What are the key characteristics that distinguish a rotation from a translation?

Tip: When identifying rotations, focus on the orientation of the figure after transformation; the position and angle relative to a point will have changed.

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Math Problem Analysis

Mathematical Concepts

Geometry
Transformations
Rotations

Formulas

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Theorems

Rotation transformation properties

Suitable Grade Level

Grades 5-7