square and a rectangle
yes but adjacent angles are not.
Congruent *apex
Sometimes they are, sometimes not.
Rectangles or squares; both of these have only right angles, so all the angles are congruent.
Rhombus' Congruent AnglesIt's not the adjacent angles of a rhombus that are congruent, but the diagonal ones.
If all adjacent angles are congruent, it can only be a rectangle (or square).
Rectangles have congruent adjacent angles.
An impossibility. By definition a quadrilateral with 4 congruent sides must have congruent adjacent angles.
square and a rectangle
yes but adjacent angles are not.
a rectangle
That is an important theorem in geometry: if two lines intersect to form adjacent congruent angles, then the lines are perpendicular. Those congruent angles would be right angles.
Congruent *apex
Sometimes they are, sometimes not.
Same-side interior angles are supplementary. They are not always congruent, but in a regular polygon adjacent angles are congruent.
Rectangles or squares; both of these have only right angles, so all the angles are congruent.