IDENTIFY EACH OF THESE STATEMENT AS TRUE OR FALSE. If the statement is true ,explain why .if it is false ,give a counterexample.(a) if the diagonals of a quatrilateral are congruent,but only one is the perpendicular of the other,then the quadrilateral is a kite. (b) if the quadrilateral has exactly one of reflectional symmetry,then the quadrilateral is a kite. (c) if the diagonals of a quadrilateral are congruent and bisect each other,then it is square
A-->False
Reson:
A kite with congruent diagonals is a square.
B--> True
Reason:A kite is a quadrilateral with one axis of line symmetry. A kite has two pairs of adjacent sides equal. The diagonals cross at right angles, but do not bisect each other.
c-->False
Reason:
The diagonals of a rhombus bisect each other at right angles. The diagonals of arhombus bisect the corner angles. The opposite sides of a rhombus are parallel. All the sides are equal, and opposite angles are equal.
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