1. What is the Endpoint Formula?

The endpoint formula calculates the unknown endpoint of a line segment when given the start point and midpoint. It's derived from the midpoint formula in coordinate geometry.

2. How Does the Calculator Work?

The calculator uses the endpoint formula:

Where:

• Start Point — Known starting coordinates (x₁, y₁)
• Midpoint — Known midpoint coordinates (xₘ, yₘ)
• Endpoint — Unknown ending coordinates (x₂, y₂)

Explanation: The formula works by solving the midpoint formula for the unknown endpoint.

3. Importance of Endpoint Calculation

Details: Calculating endpoints is essential in geometry for constructing shapes, solving problems involving symmetry, and in computer graphics for line rendering.

4. Using the Calculator

Tips: Enter the known start point and midpoint coordinates. The calculator will compute the corresponding endpoint coordinates.

5. Frequently Asked Questions (FAQ)

Q1: Can this be used in 3D space?
A: The same principle applies in 3D - just apply the formula separately to each coordinate (x, y, z).

Q2: What if I know the endpoint and need the start point?
A: Rearrange the formula: Start Point = (2 × Midpoint) - Endpoint.

Q3: Does this work for non-linear curves?
A: No, this formula only applies to straight line segments.

Q4: How precise are the calculations?
A: The calculator provides results rounded to 2 decimal places for clarity.

Q5: Can I use this for geographic coordinates?
A: For small distances on Earth, this works, but for large distances, you'd need to account for the Earth's curvature.