A kite
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
A parallelogram
A parallelogram (or rectangle) which is not a rhombus (or square).
prove any two adjacent triangles as congruent
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.
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
A parallelogram
rhombus
A rhombus has unequal diagonals which intersect at right-angles.
Square (also rhombus)
The shape you are describing is a rhombus. A rhombus has two pairs of parallel sides, with opposite sides being equal in length. The diagonals of a rhombus are also equal in length, but they do not intersect at 90 degrees; instead, they intersect at a 90-degree angle.
No but its diagonals bisect each other at 90 degrees
None but the diagonals intersect at 90 degrees
A rectangle would fit the given description
A parallelogram (or rectangle) which is not a rhombus (or square).
prove any two adjacent triangles as congruent
A Quadrilateral Kite!