Math Problem Statement
Solution
To solve this question, we need to reflect the kite ABCD across the x-axis and find the new coordinates of point A.
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From the image, point A is located at coordinates (-1, -3).
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When reflecting a point across the x-axis, the x-coordinate stays the same, but the y-coordinate changes sign (flips). So the reflection of a point across the x-axis is .
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Applying this to point A, becomes .
Thus, the new coordinates of point A after reflection across the x-axis are .
The correct answer is option E: (-1, 3).
Would you like further details or have any questions?
Here are 5 related questions for more practice:
- What are the resulting coordinates of point B after reflection across the x-axis?
- What transformation reflects points across the y-axis?
- How do you determine the reflection of a point across the origin?
- How would the kite look if reflected across the y-axis instead?
- What would be the new coordinates of point D after reflecting across the x-axis?
Tip: To reflect a point across the x-axis, remember to flip the sign of the y-coordinate, while the x-coordinate remains unchanged.
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Math Problem Analysis
Mathematical Concepts
Reflection
Coordinates
Symmetry
Formulas
Reflection across x-axis: (x, y) → (x, -y)
Theorems
Reflection theorem: Points reflected across the x-axis have the same x-coordinates and opposite y-coordinates
Suitable Grade Level
Grades 6-8