# The diagonals of the square ABCD intersect at the point O. The segment OF is the height of the triangle

August 23, 2021 | education

| **The diagonals of the square ABCD intersect at the point O. The segment OF is the height of the triangle AOD. Are lines AB and OF parallel?**

The diagonals of the square intersect at right angles, are halved and there are bisectors of the angles at the vertices.

Then the angle AAO = 45, the angle AOF = 45, since ОF is the height and bisector of the isosceles triangle of the AOD. Then the angle AOF = BAO = 45, and since these are cross-lying angles, AB is parallel to OF, which was required to prove.

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