Math Problem Statement
Solution
The question asks, "Which rotation performed on a figure will result in a figure that would not change its location on the coordinate plane?"
The options are:
- a) Rotation 180 degrees counterclockwise
- b) Rotation 360 degrees counterclockwise
- c) Rotation 270 degrees counterclockwise
- d) Rotation 90 degrees counterclockwise
Correct answer: b) Rotation 360 degrees counterclockwise
Explanation: A rotation of 360 degrees brings the figure back to its original position, as a full rotation completes a circle. Therefore, the figure does not change its location on the coordinate plane after a 360-degree rotation.
Would you like more details or have any further questions?
Here are 5 related questions to expand on this concept:
- What happens to a figure's position after a 90-degree rotation counterclockwise?
- How does a 180-degree rotation affect a figure on a coordinate plane?
- Can a 270-degree counterclockwise rotation be equivalent to a clockwise rotation? If so, by how much?
- Why does a 360-degree rotation return the figure to its original location?
- How can you determine the coordinates of a figure after any degree of rotation?
Tip: Always remember, rotations are about moving around a center point, and the degree of rotation determines how far the object moves from its original position.
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Math Problem Analysis
Mathematical Concepts
Geometry
Rotational Symmetry
Formulas
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Theorems
Rotation Theorem
Suitable Grade Level
Grades 6-8