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 are told that the midpoint of a line segment is at the point minus

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

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Key Concepts

Midpoint Formula

The midpoint formula in coordinate geometry is used to determine the point exactly halfway between two endpoints of a line segment. It is derived by taking the average of the x-coordinates and the y-coordinates of the endpoints, typically expressed as ((x1 + x2)/2, (y1 + y2)/2). This formula is fundamental in many geometrical calculations and proofs.

Reverse Application of the Midpoint Formula

When the midpoint and one endpoint of a line segment are known, the unknown endpoint can be found by reversing the midpoint formula. This process involves doubling the midpoint's coordinates and then subtracting the coordinates of the known endpoint, effectively using the symmetry of the line segment about its midpoint.

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