IDENTIFY EACH OF THESE STATEMENT AS TRUE OR FALSE If the sta

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

Solution

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.