Math Problem Statement

What is the coordinate pair of point A?

Solution

The problem involves reflecting a point over the y-axis on a coordinate grid. Let's analyze the question and solve it step by step.

Problem Analysis:

  • The flag is reflected over the y-axis.
  • We need to determine the coordinate pair of point A after this reflection.

Solution:

  1. Identify Point A's Coordinates Before Reflection: From the image, let's determine the coordinates of point A.

  2. Reflect Over the y-axis: Reflecting a point (x,y)(x, y) over the y-axis changes its x-coordinate to its opposite value, resulting in the coordinates (x,y)(-x, y).

  3. Apply the Reflection Rule:

    • If the original coordinates of A are (x,y)(x, y), then after reflection, A's new coordinates will be (x,y)(-x, y).

Final Answer:

Based on the coordinates of A, the reflected coordinates can be found using the above rule.

Would you like me to provide additional details, clarify any steps, or address any questions? Here are some follow-up questions that could expand on the topic:

  1. What are the original coordinates of point A?
  2. How do you find the coordinates of a reflected point over different axes?
  3. What would the coordinates be if the point was reflected over the x-axis instead?
  4. How do transformations like reflections affect the orientation of shapes?
  5. How can reflections be used in real-world applications, such as design or architecture?

Tip: Remember, when reflecting over the y-axis, the x-value changes sign, while the y-value remains the same.

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Math Problem Analysis

Mathematical Concepts

Coordinate Geometry
Reflection
Transformation

Formulas

Reflection across the y-axis: (x, y) -> (-x, y)

Theorems

Reflection principles in coordinate geometry

Suitable Grade Level

Grades 6-8