Please help 10(iii) 9
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(i) Prove that each angle of a rectangle is 900.
(ii) If the angle of a quadrilateral are equal, prove that it is a rectangle.
(iii) If the diagonals of a rhombus are equal, prove that it is a square.
(iv) Prove that every diagonal of a rhombus bisects the angles at the vertices.
ABCD is parallelogram. If the diagonal AC bisects LA, then prove that:
(t) AC bisects Z C (it) ABCD is a rhombus
(iii) AC BD.
(i) Prove that bisectors of any two adjacent angles of a parallelogram are at right
angles.
(ii) Prove that bisectors of any two opposite angles of a parallelogram are parallel.
(iii) If the diagonals of a quadrilateral are equal and bisect each other at right angles,
then prove that it is a square.
(1) If ABCD is a rectangle in which the diagonal BD bisects LB, then show that
ABCD is a square.
(it) Show that if the diagonals of a quadrilateral are equal and bisect each other at
right angles, then it is a square.
13 P and Q are points on opposite sides AD and BC of a parallelogram ABCD such that
PQ passes through the point of intersection O of its diagonals AC and BD. Show that