Not necessarily.
rhombus
Any rectangle.
No. Only sometimes. A quadrilateral can have any number of congruent angles ... none, 2, 3, or 4.
Not always because a quadrilateral is any 4 sided shape.
No. For any random quadrilateral, they are actually "never" congruent. The probability of the sides being so is infinitely less than the probability they will not be.
Any rectangle.
A quadrilateral is ANY closed figure with 4 sides. Therefore, it also has 4 angles - any of which may, or may not, be congruent. About the only general statement about angles that applies to all quadrilaterals is that the sum of the angles is 360 degrees. By the way, it is possible for a quadrilateral to have 3 congruent angles, and the fourth angle not be congruent with the other 3.
A rectangle has two pairs of congruent sides, but any pair of adjacent sides is non-congruent.
You're fishing for "a square", but the way you've described it, no such animal exists. You said "all sides and angles congruent", and that's not possible. The sides are congruent to each other, and the angles are congruent to each other, but no side is congruent to any angle.
Trapezium (or Trapezoid)...its the same shape. Also, any irregular quadrilateral that doesn't have sides of the same length.
No. Any three consecutive congruent parts (angle-side-angle or side-angle-side) make any two triangles completely congruent.
A quadrilateral is any polygon with 4 sides - and hence with 4 angles. Those angles may, or may not, be congruent.A quadrilateral is any polygon with 4 sides - and hence with 4 angles. Those angles may, or may not, be congruent.A quadrilateral is any polygon with 4 sides - and hence with 4 angles. Those angles may, or may not, be congruent.A quadrilateral is any polygon with 4 sides - and hence with 4 angles. Those angles may, or may not, be congruent.