Yes.
The lower base angles are congruent.The upper base angles are congruent.
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A trapezoid with congruent diagonals is an isosceles trapezoid.
A trapezoid!
No, not all angles in a trapezoid are congruent. A trapezoid may have two pairs of congruent angles, or may have no congruent angles.
A trapezoid, in general, does not have congruent sides.
Opposites sides of an isosceles trapezoid are congruent