Please help 10(iii)

Please help 10(iii) 9 10 11 12 (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



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