A rectangle, a square, and an isosceles trapezoid.
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rhombus
It is an isosceles trapezoid.
A rectangle (or square), isosceles trapezium and some kites.
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.
A rhombus