The best classification for a parallelogram that has perpendicular diagonals is a rhombus. A rhombus has four sides that are congruent. The also diagonals bisect the vertex angles of this type of parallelogram.
If the parallelogram is a square then angle A is congruent to angle B ,is congruent to angle C. AB is congruent to BC is congruent to CD.
A square and rectangle.
A rhombus is a type of parallelogram. Parallelograms are types of quadrilaterals. Everything that applies to quadrilaterals and parallelograms apply to rhombuses.Quadrilaterals have four sides and four angles.Parallelograms have at two pairs of opposite sides and opposite angles congruent. (Note: congruent is pretty much "equal", except for geometric figures). Both pairs of opposite sides are also parallel, hence the name "parallelogram".Rhombuses have all sides congruent.
All four of the angles of a rectangle (and of squares) are right angles.(Its name comes from this : rect-angle.)
A parallelogram with 4 equal right angles is a rectangle.
4 right angles, by definition, are four angles of the same measure, and therefore must be congruent angles.
A rectangle.
Not sure what a "quadrilaters" is. A quadrilateral is a plane (2-dimensional) figure with four straight sides. It can have all four angles different. It can have two congruent angles (kite), 3 congruent angles (no specific name), 2 pair of two congruent angles (parallelogram/rhombus), or four congruent angles (rectangle/square).
trapeziums,kites,rectangles,parallelogramsHere are a few that I could think of:(quadrilateral: polygon with four sides)parallelogram: quadrilateral with both pairs of opposite sides paralleltrapezoid: quadrilateral with just one pair of opposite sides parallelrectangle: parallelogram with four right anglesrhombus: parallelogram with four congruent sidessquare: parallelogram with four right angles and four congruent sides
The best classification for a parallelogram that has perpendicular diagonals is a rhombus. A rhombus has four sides that are congruent. The also diagonals bisect the vertex angles of this type of parallelogram.
If the parallelogram is a square then angle A is congruent to angle B ,is congruent to angle C. AB is congruent to BC is congruent to CD.
Parallelogram -- 2 pairs of parallel sides Trapezoid -- exactly 1 pair of parallel sides Rhombus -- 4 congruent sides Rectangle -- 4 angles congruent Square -- four angles and sides congruent
Parallelogram -- 2 pairs of parallel sides Trapezoid -- exactly 1 pair of parallel sides Rhombus -- 4 congruent sides Rectangle -- 4 angles congruent Square -- four angles and sides congruent
Rhombus: A Rhombus has four congruent sides but no right angles.
square
square