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Each of the four sides of a rhombus is o...

Each of the four sides of a rhombus is of the same length.

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Prove that the sum of the squares of the sides of a rhombus is equal to the sum of the squares of its diagonals.

Two opposite angles of a rhombus are 60° each. If the length of each side of the rhombus is 8 cm, find the lengths of the diagonals of the rhombus.

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RD SHARMA ENGLISH-QUADRILATERALS-All Questions
  1. A B C D is a rhombus with /A B C=56^0dot Determine /A C Ddot

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  2. Each of the four angles of a rectangle is a right angle.

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  3. Each of the four sides of a rhombus is of the same length.

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  4. A B ,C D are two parallel lines and a transversal l intersects A B at ...

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  5. If A B C and D E F are two triangles such that A B ,B C are respe...

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  6. In Figure, A B C D is a parallelogram and X\ a n d\ Y are points on th...

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  7. In Figure, A B C is an isosceles triangle in which A B=A Cdot and C P|...

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  8. In Figure, X ,Y are the mid-points of opposite sides A B and D C of a ...

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  9. Two segments A C and B D bisect each other at O . Prove that A B C D i...

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  10. Each of the angles of a square is a right angle and each of the four ...

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  11. The diagonals of a rectangle are of equal length.

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  12. If the diagonals of a quadrilateral bisect each other, then the qua...

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  13. A quadrilateral is parallelogram if its opposite angles are equal.

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  14. A quadrilateral is a parallelogram if its opposite sides are equal.

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  15. In Figure, A B C D is a parallelogram in which /A=60^0 . If the bisect...

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  16. Show that if the diagonals of a quadrilateral are equal and bisect eac...

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  17. Show that the diagonals of a square are equal and bisect each other at...

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  18. Show that if the diagonals of a quadrilateral bisect each other at ...

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  19. A quadrilateral is a parallelogram, if its one pair of opposite sides ...

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  20. In Figure, A B C D is a parallelogram and X ,Y are the mid=points of s...

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