a pentagon
The shape you're describing is a kite. A kite has two pairs of adjacent sides that are equal in length, and its diagonals intersect at right angles (90 degrees). However, the lengths of the diagonals are not equal, which distinguishes it from a rhombus.
The sides are equal The angle between adjacent sides is 90 degrees There are two diagonals The diagonals are equal in length The diagonals make 90 degrees with each other The diagonals make 45 degrees with the sides
the diagonal in a paralleogram is not equal but the diagonals in the rectangle are congruent this is because the opposite sides of a parallelogram and rectangle are same parallel to each other but the adjacent sides of a parallelogram is not perpendicular where as the adjacent sides of rectangle is perpendicular to each other.
It can be a square or a rhombus
No. Even in the non-US use of the term (a quadrilateral with at least one set of parallel lines), the lengths of the parallel lines may not be the same, and/or the angles formed by each adjacent side may be different (as in a rhomboid), resulting in diagonals of extremely different lengths.Only in rectangles are diagonals "always" of equal length.
No. A kite is a quadrilateral (4 sided figure) with two pairs of adjacent sides of equal length; its diagonals are perpendicular. A triangle has 3 sides.
The quadrilateral you are referring to is called a kite. A kite is a quadrilateral with two distinct pairs of adjacent sides that are equal in length, and one pair of diagonals that are not equal in length. Additionally, a kite has two axes of symmetry, which are lines that divide the kite into two congruent halves.
Its diagonals are equal in length
No, the diagonals of a parallelogram are not necessarily the same length. In a general parallelogram, the diagonals can be of different lengths. However, in a special case of a parallelogram, such as a rectangle or a rhombus, the diagonals may have specific properties, but they are still not equal in a general parallelogram. Only in a rectangle do the diagonals have the same length.
The diagonals of a parallelogram are parallel and the same length.
You divide the length of one adjacent side by the length of the other adjacent side.
They are of equal length.