How to Find the Missing Endpoint Using the Midpoint Formula

Learn how to find a missing endpoint based on the midpoint formula with clear examples and step-by-step instructions.

315 views

To find a missing endpoint, use the midpoint formula: ((x1+x2)/2, (y1+y2)/2). Given a midpoint ((xm, ym)) and one endpoint ((x1, y1)), solve for the missing endpoint ((x2, y2)): x2 = 2*xm - x1 and y2 = 2*ym - y1. For example, if the midpoint is (3, 4) and one endpoint is (2, 5), then the missing endpoint is (4, 3).

FAQs & Answers

  1. What is the midpoint formula? The midpoint formula is: ((x1+x2)/2, (y1+y2)/2) which finds the midpoint of a line segment between two endpoints.
  2. How can I solve for a missing coordinate? To solve for a missing coordinate, use the rearranged midpoint formula: x2 = 2*xm - x1 and y2 = 2*ym - y1.
  3. What is an endpoint in geometry? An endpoint in geometry refers to one of the two points at the ends of a segment or the starting point of a ray.
  4. Can the midpoint be used to find distances? Yes, the midpoint can provide important information about distances between points and assist in various geometric calculations.

Watch More

For more insights on geometry concepts and problem-solving techniques, check out our related videos and articles. Dive deeper into algebra and enhance your math skills today!

  1. What is the Endpoint in Math? Definition and Examples Explained Discover the definition of endpoints in geometry and their importance in marking line segments and rays.
  2. Understanding the Endpoint of Focal Diameter in Parabolas Learn what the endpoint of focal diameter is in relation to parabolas and their geometric properties.