Answer :

Using mid–point formula:

Coordinates of the mid–point of the line segment joining the points (5, 7) and (3, 9) are

= (4, 8)

and

Coordinates of the mid–point of the line segment joining the points (8, 6) and (0, 10) are

= (4, 8)

Hence proved that the mid–point of the line segment joining the points (5, 7) and (3, 9) is the same as the mid–point the line segment joining the points (8, 6) and (0, 10).

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