In a quadrilateral ABCD, the diagonals are equal and the intersection point is halved by AB and BC.
| June 23, 2021 | education
In a quadrilateral ABCD, the diagonals are equal and the intersection point is halved by AB and BC. Determine the form of the quadrilateral ABCD.
Since the diagonals of the quadrilateral are equal to each other and the intersection point is divided in half, this quadrilateral is either a square or a rectangle.
Since, by hypothesis, we know that AB> BC, i.e. one of the sides is larger than the other, hence the original quadrilateral ABCD cannot be a square.
Thus, we get that the original quadrilateral ABCD is a rectangle.
Answer: ABCD is a rectangle.
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