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Do kites have congruent opposite angles?
Only the pair of angles opposite the line of symmetry are equal. The other two angles that are bisected by the line of symmetry are not equal. if these angles were equal then the shape would be a rhombus.
Are all kites quadrangles?
All kites are quadrilaterals having 4 sides and 4 interior angles that add up to 360 degrees
Is square a parallelogram with all sides equal?
Not unless all angles are also equal. A rhombus is a parallelogram with all sides equal. A rectangle is a parallelogram with all angles equal. A square is a rhombus with all angles equal which is a parallelogram with all sides equal and all angles equal.
What quadrilateral has all sides equal but does not have all angles equal?
It is a rhombus which has 2 equal acute angles and 2 equal obtuse angles
Are all the angles on a rhombus equal?
Not required. A square is a rhombus, but so are many kites. The rule for a rhombus is that all four sides are equal length. The opposite angles on a rhombus are always equivalent, which I think comes from the hinge theorem, but I haven't looked into that for a while.
