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Answer the 10th question."PLEASE DON'T SEND THE SIMILAR QUERY.KINDLY PERFORM THE CALCULATION STEP BY STEP"

Answer the 10th question."PLEASE DON'T SEND THE SIMILAR QUERY.KINDLY PERFORM THE CALCULATION STEP BY STEP" 9• (i) Prove that each angle of a rectan gle is 900. (if) 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 10. ABCD is parallelogranl. If the diagonal AC bisects LA, then prove that: (i) AC bisects Z C (ii) ABCD is a rhombus (iit) AC BD. 11. (i) Prove that bisectors of any two a djacent angles of a parallelogram are 12. angles. (ii) Prove that bisectors of any two opposite angles of a parallelogram (iii) If the diagonals of a quadrilateral are equal and bisect each other at ri then prove that it is a square. (i) If ABCD is a rectangle in which the diagonal BD bisects L B, then shov is a square. (ii) Show that if the diagonals of a quadrilateral are equal and bisect each anoles. then it is a square.

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10. (i) WE KNOW THAT A PARALLELOGRAM IS SUCH A QUADRILATERAL WHOSE OPPOSITE SIDES AND ANGLES ARE EQUAL AND ALSO THE OPPOSITE LINES ARE PARALLEL TOO...
   
Given" AC bisects angle A i.e it divides the angle two two equal parts angle 1 and angle 2 respectively.
To prove: AC bisects angle C
Proof: Assume that  The diagonal even divides the angle C into Angle 3 and angle 4 respectively.
          so, from this we can infer that angle 1=angle 3 and angle 2=angle 4 {alternate interior angles}
          If the alternate the interior angles are equal then the angles are also equal.
         therefore, AC also bisects angle C



 
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