Are the diagonals equal in any trapezoid?

Not. The diagonals are equal to each other only if the trapezoid is isosceles.

In order for the diagonals of the trapezoid to be equal to each other, the trapezoid must be isosceles. The characteristics of such a trapezoid are:

1. The trapezoid standing on the base has the opposite parallel side.

2. The sides of the trapezoid have the same length, but there are angles of their intersection with the adjacent sides are equal in pairs.

This is the only possible option for the equality of the two diagonals of the trapezoid.



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