Find the coordinates of the other endpoint of each line segment, given its midpoint and one endp

step 1 So in the given question, we have been given that the midpoint of a line segment joining two poi

Find the coordinates of the other endpoint of each line...

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Key Concepts

Midpoint Formula

The midpoint formula is a fundamental concept in coordinate geometry that calculates the center point of a line segment by taking the average of the x-coordinates and the y-coordinates of the endpoints. This formula, given by ((x? + x?) / 2, (y? + y?) / 2), is essential for determining the balance point or center of a segment in the plane.

Finding an Unknown Endpoint

This concept involves using the midpoint formula in reverse to determine the coordinates of an unknown endpoint when one endpoint and the midpoint are known. By setting up equations based on the midpoint's coordinates as the averages of the corresponding endpoint coordinates, one can solve for the missing values, effectively reflecting the known endpoint across the midpoint to find the other endpoint.

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