In which rectangle / trapezoid are the diagonals equal?

univerkov | January 17, 2021 | education

Answer: the diagonals will be equal in any rectangle or in an isosceles trapezoid.

1. If a quadrilateral has an axis of symmetry passing through the midpoints of opposite sides, then the diagonals of such a quadrilateral will be equal to each other. Since any rectangle has a similar feature, its diagonals are equal.

2. In an isosceles trapezoid standing on the base, the opposite side is parallel to the base, and the other two are equal. Such a figure, when the axis is drawn through the middle of the base, will have mirror symmetry, which means that its diagonals will be equal.

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