Math Problem Statement

Look at this shape. Which image shows a rotation?

Solution

The image shows a shape on a grid, and the question asks to identify which of the three options (A, B, or C) represents a rotation of the original shape.

Analysis:

  • The original shape consists of a dark blue region and a lighter blue reflection in a square grid.
  • A rotation should keep the relative positions of all parts of the shape intact but change its orientation by turning the shape around a fixed point (often 90°, 180°, or 270°).

Checking the options:

  • Option A shows the shape in the same orientation as the original. No rotation occurred here.
  • Option B shows a rotated version of the original shape. This shape appears to have been rotated 90° clockwise from the original.
  • Option C shows a reflection or flip of the shape, not a rotation.

Conclusion:

  • Option B shows a rotation of the shape.

Would you like more details or have any questions?


Here are five related questions to deepen your understanding:

  1. What is the difference between a rotation and a reflection?
  2. How do we identify different angles of rotation (90°, 180°, etc.)?
  3. Can a shape be rotated counterclockwise? If so, how would it appear differently?
  4. What happens to the coordinates of a point when you rotate a shape 90° clockwise?
  5. How would you describe a 180° rotation of this shape?

Tip: When dealing with transformations like rotations and reflections, always check the position of specific parts of the shape to confirm the change.

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Math Problem Analysis

Mathematical Concepts

Geometric Transformations
Rotation

Formulas

Rotation transformation formulas (e.g., 90° clockwise, 180°)

Theorems

Rotation Theorem
Properties of Rotational Symmetry

Suitable Grade Level

Grades 5-7