It is a square
A Parallelogram and a rhombus
It can also be a kite. That has two congruent pairs of sides but unlike a parallelogram they are adjacent, not opposite. A parallelogram with congruent diagonals is a rectangle.
Two pairs of equal sides and four right angles.
Square and Rectangle
No because a kite is a 4 sided quadrilateral with two diagonals of different lengths that intersect each other at right angles.
No. If the diagonals of a parallelogram are congruent then it must be a rectangle (or square).
Rectangle: A quadrilateral with 4 right angles, diagonals congruent/bisecting, and opposite sides congruent, BUT ADJACENT SIDES ARE NOT CONGRUENT. Rhobus: A quadrilateral with opposite congruent angles, but adjacent angles are Not congruent, perpendicular bisecting diagonals and 4 congruent sides. Square: A quadrilateral that is a rectangle and a square with 4 right angles, diagonals congruet/bisecting that ar perpendicular, and opposites sides congruent.
A Parallelogram and a rhombus
It can also be a kite. That has two congruent pairs of sides but unlike a parallelogram they are adjacent, not opposite. A parallelogram with congruent diagonals is a rectangle.
Two pairs of equal sides and four right angles.
A rectangle is a quadrilateral with four sides. All angles are right angles, the diagonals are congruent, and the opposite sides are all equal. A rhombus (diamond) is a quadrilateral with congruent daigonals and equal angles.
triangle
Sometimes but not always
square
a square and a rectangle
Square and Rectangle
No. Only sometimes. A quadrilateral can have any number of congruent angles ... none, 2, 3, or 4.