1. What is the Missing Endpoint Calculator?

This calculator finds the missing endpoint of a line segment when you know one endpoint and the midpoint. It's useful in geometry, computer graphics, and various engineering applications.

2. How Does the Calculator Work?

The calculator uses the endpoint formula:

Where:

• \( (x_1, y_1) \) — Known endpoint coordinates
• \( (mid_x, mid_y) \) — Midpoint coordinates
• \( (x_2, y_2) \) — Missing endpoint coordinates

Explanation: The midpoint is exactly halfway between two endpoints, so we can work backward from the midpoint to find the missing endpoint.

3. Importance of Endpoint Calculation

Details: Finding missing endpoints is essential in geometry problems, computer graphics for line rendering, and various engineering applications where precise coordinates are needed.

4. Using the Calculator

Tips: Enter the known endpoint coordinates and midpoint coordinates. The calculator will compute the missing endpoint. All values can be positive or negative numbers.

5. Frequently Asked Questions (FAQ)

Q1: Can I use this for 3D coordinates?
A: This calculator is for 2D coordinates only. For 3D, you would need to calculate the z-coordinate using the same formula: z₂ = 2×mid_z - z₁.

Q2: What if my midpoint is wrong?
A: The calculator assumes the given midpoint is correct. If your midpoint is incorrect, the calculated endpoint will also be incorrect.

Q3: Can this be used for circles?
A: This calculates endpoints for line segments. For circles, you would need different formulas involving the radius.

Q4: How precise are the results?
A: Results are precise to two decimal places. For higher precision, use more decimal places in your input.

Q5: Can I use fractions instead of decimals?
A: The calculator accepts decimal inputs. Convert fractions to decimals before entering (e.g., 1/2 = 0.5).