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1 answer:
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Answer:
The coordinates of point E are (3,-2)
Step-by-step explanation:
we know that
The diagonals of a parallelogram bisect each other
That means ----> The coordinates of point E is the midpoint diagonal AC or the midpoint diagonal BD
The formula to calculate the midpoint between two points is equal to
<u><em>Verify both cases</em></u>
<em>Find the midpoint AC</em>
we have the points
A(1,1) and C(5,-5)
substitute in the formula
<em>Find the midpoint BD</em>
we have the points
B(8,5) and D (-2,-9)
substitute in the formula
therefore
The coordinates of point E are (3,-2)