Yes
Yes.
They are both trapezoids and so have one pair of parallel sides.
Isosceles trapezoids have 2 (occasionally 3) equal sides and have 2 pairs of equal angles, but that's not case if they're not isosceles.
Isosceles triangles have congruent base angles, meaning the angles opposite the equal sides are the same. Additionally, certain polygons, such as isosceles trapezoids, also have congruent base angles. In general, any shape with symmetrical properties may exhibit congruent angles, but isosceles triangles and isosceles trapezoids are the most common examples.
Yes
No. Most Trapezoids are not isosceles. The non parallel sides must be congruent to be isosceles.
There are isosceles trapezoids which are sometimes called regular trapezoids.
No. Isosceles trapezoids don't have 2 sets of equal sides, which is what a parallelogram is.
Only when they are isosceles trapezoids.
No
Yes.
They are both trapezoids and so have one pair of parallel sides.
Isosceles trapezoids have 2 (occasionally 3) equal sides and have 2 pairs of equal angles, but that's not case if they're not isosceles.
Isosceles trapezoids, squares, and rectangles.
Yes
only if there is a full moon
If they are equally long such as the diagonals of rectangles and isosceles trapezoids.