
Midpoint. Coordinates of midpointPage navigation:
Definition. Midpoint is a point that is located on the segment and is equidistant from the segment endpoints.In geometric problems can often be faced with the need to find the midpoint of segment that defined by coordinates of its endpoints, for example in search problems median, midline, etc. Each coordinate of the midpoint is equal to half the sum of the corresponding coordinates of the endpoints. Midpoint formulas:
Examples of tasks with midpointExamples of tasks with coordinates of midpoint of line segment on the planeExample 1. Find the midpoint, point C, which is between the two endpoints A(1, 3) and B(6, 5).
Solution.
Answer: С(2.5, 4). Example 2. Find the Coordinates of endpoint, point B, when midpoint is C(1; 5) and other endpoint A(1, 3).
Solution.
Answer: B(3, 7). Examples of tasks with coordinates of midpoint of line segment on the spaceExample 3. Find the midpoint, point C, which is between the two endpoints A(1, 3, 1) and B(6, 5, 3).
Solution.
Answer: С(2.5, 4, 1). Example 4. Find the Coordinates of endpoint, point B, when midpoint is C(1, 5, 2) and other endpoint A(1, 3, 10).
Solution.
Answer: B(3, 7, 6). Analytic geometry: Introduction and contentsDistance between two pointsMidpoint. Coordinates of midpointEquation of a lineEquation of a planeDistance from point to planeDistance between two planesDistance from a point to a line  2DimensionalDistance from a point to a line  3DimensionalAngle between two planesAngle between line and plane
Add the comment 