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Three vertices of a parallelogram, taken...

Three vertices of a parallelogram, taken in order, are (-1, -6), (2,-5) and (7,2). Write the coordinates of its fourth vertex.

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To find the coordinates of the fourth vertex of the parallelogram given three vertices A(-1, -6), B(2, -5), and C(7, 2), we can use the property that the diagonals of a parallelogram bisect each other. This means that the midpoint of diagonal AC will be equal to the midpoint of diagonal BD, where D is the fourth vertex we need to find. ### Step-by-Step Solution: 1. **Identify the Given Points:** - Let the vertices be: - A = (-1, -6) - B = (2, -5) ...
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