Math Problem Statement
Solution
To reflect the given figure over the y-axis, follow these steps:
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Identify Points: First, note the coordinates of each vertex of the figure on the right side of the y-axis. Let's assume these points are labeled approximately as follows:
- Point A (1,1)
- Point B (3,2)
- Point C (4,-1)
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Reflect Each Point Across the y-Axis: For a reflection over the y-axis, change the sign of the x-coordinate for each point. This gives:
- A' (-1,1)
- B' (-3,2)
- C' (-4,-1)
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Plot the New Points: On the left side of the y-axis, plot these reflected points (A', B', C').
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Connect the Points: Draw lines connecting A' to B', B' to C', and C' back to A' to complete the reflection of the shape.
Would you like a more detailed explanation or have any specific questions?
Here are five related questions:
- How would the reflection change if we reflected over the x-axis instead?
- What would happen if we reflected the figure over both the x-axis and y-axis?
- How can we determine the reflection of a figure without plotting?
- What are some practical applications of geometric reflections?
- How would reflecting over a line other than the y-axis affect the coordinates?
Tip: Reflecting over the y-axis only affects the x-coordinates of points, while reflecting over the x-axis only affects the y-coordinates.
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Math Problem Analysis
Mathematical Concepts
Geometry
Transformations
Reflections
Formulas
Reflection over the y-axis: (x, y) → (-x, y)
Theorems
Line symmetry
Reflection properties
Suitable Grade Level
Grades 6-8