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