Math Problem Statement
The shape below is reflected in the y-axis. What are the coordinates of the vertex that B maps to after this reflection?
Solution
The question asks for the coordinates of point after the shape is reflected over the -axis.
Step-by-step solution:
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Coordinates of Point B: The original coordinates of point are .
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Reflection Over the -axis:
- When reflecting a point over the -axis, the -coordinate changes its sign, while the -coordinate remains the same.
- Therefore, the reflection of point over the -axis will be .
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Apply the Reflection:
- The -coordinate of is 2, so after reflecting over the -axis, it becomes .
- The -coordinate remains 5.
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Result: The new coordinates of the vertex that point maps to are .
Would you like more details on the reflection process or have any other questions?
Here are five related questions for further practice:
- What are the coordinates of the vertex at after reflecting over the -axis?
- How would the shape look if reflected over the -axis instead?
- What happens to the coordinates if the shape is rotated 180 degrees about the origin?
- What are the coordinates of point after translating it 3 units to the left?
- How would the reflection change if we reflected over the line ?
Tip: When reflecting over the -axis, only the sign of the -coordinate changes, while the -coordinate stays the same.
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Math Problem Analysis
Mathematical Concepts
Geometry
Coordinate Geometry
Reflections
Formulas
Reflection over y-axis: (x, y) → (-x, y)
Theorems
Reflection Theorem
Suitable Grade Level
Grades 6-8