Parallelogram with four congruent sides
rhombus
Quadrilateral with two pairs of congruent adjacent sides and opposite sides that are not congruent
kite
Quadrilateral with opposite sides that are parallel and congruent
parallelogram
Quadrilateral with exactly one pair of parallel sides
trapezoid
Parallelogram with four right angles
rectangle
Parallelogram with four congruent sides and four right angles
square
Triangle with no congruent sides
scalene
Triangle with 2 congruent sides
isosceles
Triangle with 3 congruent sides
equilateral