yes.
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No.
Yes, they can be. Here is an example to see how this is true. Construct two perpendicular lines AB and CD that intersect at a point O. Let AO = CO, BO = DO and AO ≠ BO, then ABDC forms an isosceles trapezoid. If the lines are not perpendicular, then also ABDC is an isosceles trapezoid and it has perpendicular diagonals.
The 2 diagonals in an isosceles trapezoid are of equal lengths
Not for all trap. Only for an isosceles trapezoid. Well, for an Isosceles trapezoid, it could be any of the two diagonals! In order to have an isosceles trapezoid with the diagonals equal, the isosceles part MUST be precise and specific.
Yes, the diagonals of a trapezoid are congruent.Another Answer:-The diagonals of a trapezoid are congruent only when it is in the form of an isosceles trapezoid.