Math Problem Statement
Solution
To solve this reflection problem, let's follow these steps:
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Identify the vertices of the original triangle: By examining the image, the vertices of the triangle appear to be:
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Reflect each vertex across the x-axis: Reflection across the x-axis changes the y-coordinate of each point to its opposite sign. So, for each vertex , the new point will be .
- Reflect to get
- Reflect to get
- Reflect to get
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Resulting vertices: The vertices of the reflected triangle are:
Thus, the vertices of the triangle after reflection across the x-axis are:
Would you like further explanation on reflections or transformations?
Additional Questions
- How would the reflection change if the triangle were reflected across the y-axis?
- What are the coordinates if the triangle is reflected across the line ?
- How would you calculate the reflection if it was across the line ?
- How do transformations affect the area of geometric shapes?
- How would you find the distance between corresponding points of the original and reflected triangles?
Tip
Remember, reflecting across the x-axis only affects the y-coordinates, while reflecting across the y-axis only affects the x-coordinates.
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Math Problem Analysis
Mathematical Concepts
Geometry
Transformations
Reflections
Formulas
Reflection across the x-axis: (x, y) → (x, -y)
Theorems
Reflection Theorem
Suitable Grade Level
Grades 6-8