Math Problem Statement
Solution
The question asks which graph represents a translation. A translation is a type of transformation where a figure is moved from one location to another without changing its shape, size, or orientation. In other words, the figure simply "slides" to a different position on the graph.
Let's analyze the graphs:
- First graph: The pentagon is rotated about the origin (it appears upside down), so this is a rotation, not a translation.
- Second graph: The pentagon is flipped over, which suggests a reflection, not a translation.
- Third graph: The pentagon has the same orientation but has been moved from one location to another. This is a translation.
- Fourth graph: The pentagon is rotated (like the first graph), indicating another rotation.
Thus, the third graph represents a translation.
Would you like further clarification or details about transformations? Here are some related questions you might explore:
- What are the different types of transformations (e.g., reflection, rotation, translation)?
- How do you determine the direction and magnitude of a translation?
- How does a translation affect the coordinates of a figure?
- What is the difference between translation and rotation in geometry?
- Can translations be combined with other transformations?
Tip: When identifying a translation, ensure the figure maintains the same orientation—no flipping, rotating, or resizing!
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Math Problem Analysis
Mathematical Concepts
Transformations
Translation
Reflection
Rotation
Formulas
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Theorems
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Suitable Grade Level
Grades 6-8
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