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The two vertices of the triangle are \((13, 14)\) and \((- 7, - 8)\). If the third vertex is at an equidistance from each of the other two vertices, then answer the following.
I. The mid-point of the points \((x_1, y_1)\) and \((x_2, y_2)\) is given by _______.
II. The third vertex of the triangle is ______.
III. The area of the given triangle is ______ square units.
IV. The given points are ________.
V. Which among the following is true for collinearity?