Math Problem Statement
Solution
To reflect the triangle across the -axis, you need to invert the -coordinates of each of the triangle’s vertices, keeping the -coordinates the same. Here’s the step-by-step process:
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Identify the coordinates of each vertex of the triangle from the graph. For instance, if one vertex is at , reflect it to .
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Apply the reflection:
- For each vertex of the triangle, the reflected point will be .
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Plot the reflected points on the graph** below the x-axis in the same -positions but opposite -positions.
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Connect the reflected vertices to form the reflected triangle.
Would you like a more detailed breakdown of each step or further assistance with identifying specific coordinates from the graph?
Here are some related questions to expand your understanding:
- How do reflections across different axes affect the coordinates of shapes?
- What changes occur when reflecting a shape across the -axis instead of the -axis?
- How can you determine the line of symmetry for a given reflection?
- How are reflections in the coordinate plane related to transformations in geometry?
- What other types of transformations can be performed on shapes in the coordinate plane?
Tip: When reflecting across the -axis, only the -coordinate changes sign, making it a straightforward transformation.
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Math Problem Analysis
Mathematical Concepts
Geometry
Reflections
Coordinate Plane
Formulas
Reflection across x-axis: (x, y) -> (x, -y)
Theorems
Reflection Theorem
Suitable Grade Level
Grades 6-8