1. What is Reflection in Coordinate Geometry?

Reflection is a transformation that produces a mirror image of a point across a line (mirror line). In coordinate geometry, reflection finds the symmetric point across a given axis or line.

2. How Does the Reflection Calculator Work?

The calculator uses the reflection formula:

Where:

• \( Mirror \) — The coordinate value of the mirror line
• \( Original \) — The original coordinate value of the point
• \( New\ Coord \) — The reflected coordinate value

Explanation: This formula calculates the symmetric point across a vertical or horizontal mirror line in coordinate geometry.

3. Importance of Reflection Calculations

Details: Reflection calculations are essential in geometry, computer graphics, physics, and engineering for creating symmetric designs, simulating mirror effects, and solving geometric problems.

4. Using the Calculator

Tips: Enter the mirror coordinate value and the original coordinate value. The calculator will compute the reflected coordinate using the reflection formula.

5. Frequently Asked Questions (FAQ)

Q1: What types of reflections can this calculator handle?
A: This calculator handles reflections across vertical and horizontal lines in coordinate geometry.

Q2: Can I use this for 2D coordinate reflections?
A: Yes, you can calculate reflections for both x and y coordinates separately using this formula.

Q3: What if the mirror line is not at the origin?
A: The formula works for mirror lines at any coordinate position, not just the origin.

Q4: How accurate are the results?
A: The results are mathematically precise based on the reflection formula, with rounding to 4 decimal places for clarity.

Q5: Can this be used for 3D reflections?
A: This calculator is designed for 2D coordinate reflections. For 3D reflections, additional calculations would be needed for each coordinate axis.