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Rhombus rhombus
The quadrilateral that fits this description is a kite. In a kite, there is one pair of equal angles (the angles between the pairs of equal-length sides), while the diagonals are not equal in length and do not bisect each other. Instead, one diagonal bisects the other at a right angle, but the two diagonals do not split each other into equal segments.
Rhombus and square are the only quadrilaterals whose diagonals bisect the angles of the quadrilateral. In both these quadrilaterals, the diagonals intersect at right angles, dividing each angle into two equal parts.
The converse of the rectangle diagonal conjecture states that if the diagonals of a quadrilateral are equal in length, then the quadrilateral is a rectangle, which implies that its corners are right angles. To test if the corners of a quadrilateral are right angles, measure the lengths of the diagonals. If the diagonals are equal, you can conclude that the corners are right angles, confirming that the shape is a rectangle.
Two pairs of equal sides and four right angles.
kite
A rhombus is a 4 equal sided quadrilateral with equal opposite acute angles and equal opposite obtuse angles with diagonals that bisect each other at right angles.
It is an isosceles trapezoid.
Rhombus rhombus
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.
The quadrilateral that fits this description is a kite. In a kite, there is one pair of equal angles (the angles between the pairs of equal-length sides), while the diagonals are not equal in length and do not bisect each other. Instead, one diagonal bisects the other at a right angle, but the two diagonals do not split each other into equal segments.
Rhombus and square are the only quadrilaterals whose diagonals bisect the angles of the quadrilateral. In both these quadrilaterals, the diagonals intersect at right angles, dividing each angle into two equal parts.
The converse of the rectangle diagonal conjecture states that if the diagonals of a quadrilateral are equal in length, then the quadrilateral is a rectangle, which implies that its corners are right angles. To test if the corners of a quadrilateral are right angles, measure the lengths of the diagonals. If the diagonals are equal, you can conclude that the corners are right angles, confirming that the shape is a rectangle.
rhombus
Two pairs of equal sides and four right angles.
A Quadrilateral Kite!
It is no different from a quadrilateral.A quadrilateral is any shape with four sides and a rhombus has four sides, therefore it is a quadrilateral.