Here are the essential concepts you must grasp in order to answer the question correctly.
Midpoint Formula
The midpoint formula is used to find the midpoint of a line segment given its endpoints. It is calculated as the average of the x-coordinates and the average of the y-coordinates of the endpoints. Specifically, if the endpoints are (x1, y1) and (x2, y2), the midpoint M is given by M = ((x1 + x2)/2, (y1 + y2)/2). This concept is essential for determining the coordinates of the other endpoint when one endpoint and the midpoint are known.
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Finding Coordinates
To find the coordinates of an unknown endpoint when given a midpoint and one endpoint, we can rearrange the midpoint formula. If we know the midpoint M and one endpoint A, we can express the coordinates of the other endpoint B in terms of M and A. This involves solving the equations derived from the midpoint formula to isolate the unknown coordinates, allowing us to find the missing endpoint.
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Coordinate Plane
The coordinate plane is a two-dimensional surface defined by a horizontal axis (x-axis) and a vertical axis (y-axis). Each point on the plane is represented by an ordered pair (x, y), where 'x' indicates the horizontal position and 'y' indicates the vertical position. Understanding the coordinate plane is crucial for visualizing points, midpoints, and line segments, which aids in solving problems related to geometry and algebra.
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