From Wikipedia: '...a kite, or deltoid, is a quadrilateral with two disjoint pairs of congruent adjacent sides, in contrast to a parallelogram, where the congruent sides are opposite.' In other words, a kite consists of two isosceles triangles joined at the base. Beginning with a particular isosceles triangle, it will always be possible to construct from it one kite that has equal diagonals (given that the kite may be either convex or concave). Hence an infinite number of kites do have equal diagonals, but many do not. A notable example of a kite that does have equal diagonals is a square.
A Rhombus * * * * * WRONG! A rhombus does not have equal diagonals. If it did it would be a square! The shape is a special case of a kite.
the sides that are parallel of each other are equal. * * * * * True, but that was not the question! In general, the diagonals are not of equal length.
An isosceles trapezoid will have diagonals of equal length but will never contain right angles by definition. A square and rectangle will have diagonals of equal length but will contain 4 right angles. A rhombus and any other parallelogram that does not contain right angles will not have diagonals of equal length.
Yes.
A kite fits this description.
No, the diagonals are not equal.
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.
No.
Perpendicular and the one for which each endpoint touches only sides of equal length bisects the other.
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.
None but the diagonals intersect at 90 degrees
One answer is a kite.
A Rhombus * * * * * WRONG! A rhombus does not have equal diagonals. If it did it would be a square! The shape is a special case of a kite.
Yes they are equal in length
Parallelogram, trapezoid, rhombus and a kite are some of them Note that a square and a rectangle have diagonals of equal lengths
the sides that are parallel of each other are equal. * * * * * True, but that was not the question! In general, the diagonals are not of equal length.
Its diagonals are equal in length