1. What is the Endpoint Formula?

The endpoint formula calculates the unknown endpoint of a line segment when given the midpoint and one endpoint. This is based on the midpoint formula in coordinate geometry.

2. How Does the Calculator Work?

The calculator uses the endpoint formula:

Where:

• Midpoint — The middle point of the line segment (x,y coordinates)
• Known Endpoint — One endpoint of the segment (x,y coordinates)
• Endpoint — The calculated unknown endpoint (x,y coordinates)

Explanation: The formula works because the midpoint is exactly halfway between the two endpoints. By doubling the midpoint and subtracting the known endpoint, we find the mirror point on the other side.

3. Importance of Endpoint Calculation

Details: Finding endpoints is essential in geometry, computer graphics, physics, and engineering applications where precise coordinates are needed.

4. Using the Calculator

Tips: Enter the midpoint coordinates (x,y) and one endpoint coordinates (x,y). The calculator will determine the unknown endpoint coordinates.

5. Frequently Asked Questions (FAQ)

Q1: Can this be used in 3D space?
A: Yes, the same formula applies to each dimension (x, y, and z coordinates).

Q2: What if I have two endpoints and need the midpoint?
A: Use the midpoint formula: Midpoint = ((x1+x2)/2, (y1+y2)/2).

Q3: Does this work for negative coordinates?
A: Yes, the formula works for all real numbers, positive or negative.

Q4: How precise are the results?
A: Results are calculated to 4 decimal places for precision.

Q5: Can I use this for fractional coordinates?
A: Absolutely, the calculator accepts and calculates fractional values.