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A parallelogram with sides whose lengths are half the diagonals of the original quadrilateral.
parallelogram, rhombus, trapezoid and a kite
It is a rhombus whose diagonals are perpendicular and meeting each other at right angles.
To construct a parallelogram with one side and two diagonals given, start by drawing the given side as one of the sides of the parallelogram. Label the endpoints of this side. Then, using a compass, draw arcs from each endpoint of the side with radii equal to the lengths of the diagonals, intersecting at two points. These intersection points will be the other two vertices of the parallelogram. Finally, connect these vertices to form the complete parallelogram.
A parallelogram whose sides are equal in length is always a rhombus. In addition, it may be a rectangle. If it's a rectangle, then it's also a square.
A parallelogram with sides whose lengths are half the diagonals of the original quadrilateral.
a square _ |_|
parallelogram, rhombus, trapezoid and a kite
It is a rhombus whose diagonals are perpendicular and meeting each other at right angles.
A parallelogram that is not a square is any parallelogram whose angles are not ninety degrees or whose opposite sides are not equal.
A rectangle or a parallelogram
(1) Parallelogram A parallelogram is a quadrilateral with two sets of parallel sides. The opposite or facing sides of a parallelogram are of equal length, and the opposite angles of a parallelogram are equal.(2) SquareA square is a regular quadrilateral. This means that is has four equal sides and four equal angles.(3) RhombusA rhombus is a quadrilateral whose four sides all have the same length. Opposite angles of a rhombus have equal measure. The two diagonals of a rhombus are perpendicular.(4) RectangleA rectangle normally refers to a quadrilateral with four right angles.ParallelogramSquareRhombus
A parallelogram whose sides are equal in length is always a rhombus. In addition, it may be a rectangle. If it's a rectangle, then it's also a square.
A square or other rhombus (= parallelogram with 4 equal sides, whether or not they're at right angles).Also, any other regular 4n-gon -- i.e., regular polygon whose number of sides is a multiple of 4 -- will have pairs of perpendicular diagonals. So a regular octagon has two such pairs.
A square or other rhombus (= parallelogram with 4 equal sides, whether or not they're at right angles).Also, any other regular 4n-gon -- i.e., regular polygon whose number of sides is a multiple of 4 -- will have pairs of perpendicular diagonals. So a regular octagon has two such pairs.
A parallelogram. Opposite sides are parallel and congruent.parallelogram is a quadrilateral with two sets of parallel sides. The opposite sides of a parallelogram are of equal length, and the opposite angles of a parallelogram are congruent. The three-dimensional counterpart of a parallelogram is a parallelepiped.Parallelogram - A quadrilateral whose opposite sides are parallel
A parallelogram is a 4-sided figure whose opposite sides are parallel. and opposite angles are the same. The opposite sides of a rhombus are parallel, therefore it's a parallelogram. Its sides also happen to be all the same length, which isn't required in a parallelogram, and that's why it's a special kind of parallelogram and has a special name. However, a parallelogram is NOT a rhombus!