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The diagonals of a quadrilateral are p...

The diagonals of a quadrilateral are perpendicular to each other. Is such a quadrilateral always a rhombus? If your answer is ‘No’, draw a figure to justify your answer.

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To determine whether a quadrilateral with perpendicular diagonals is always a rhombus, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding the Question**: We need to find out if a quadrilateral with diagonals that intersect at right angles (perpendicular) is always a rhombus. **Hint**: Recall the properties of a rhombus and the conditions that define it. ...
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RD SHARMA-UNDERSTANDING PHASE-III (SPECIAL TYPES OF QUADRILATERALS)-All Questions
  1. Fill in the blanks, in each of the following, so as to make the stat...

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  2. The diagonals of a parallelogram are not perpendicular. Is it a rhom...

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  3. The diagonals of a quadrilateral are perpendicular to each other. Is...

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  4. A B C D is a rhombus. If /A C B=40^@, find /A D Bdot

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  5. If the diagonals of a rhombus are 12cm and 16cm, find the length of ...

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  6. Construct a rhombus whose diagonals are of length 10cm and 6cm.

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  7. Draw a rhombus, having each side of length 3.5cm and one of the ang...

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  8. One side of a rhombus is a length of 4cm and the length of an altitu...

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  9. Draw a rhombus, having each side of length 3.5cm and one of the ang...

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  10. One side of a rhombus is of length 4cm and the length of an altitud...

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  11. Draw a rhombus A B C D , if A B=6c m\ a n d\ A C=5c mdot

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  12. A B C D is a rhombus and its diagonals intersect at Odot Is B O C\ ...

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  13. Show that each diagonal of a rhombus bisects the angle through which i...

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  14. A B C D is a rhombus whose diagonals intersect at Odot If A B=10 c m, ...

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  16. In Figure, R E N T is a rectangle. Its diagonals meet at Odot Find x, ...

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  17. P Q R S is a square. P R and S Q intersect at Odot State the measure o...

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  18. In Figure, P Q R S is a square. Determine /S R Pdot

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  19. A B C D is a rectangle with /B A C=32^0dot Determine /D B Cdot

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  20. The diagonals of a rectangle A B C D meet at Odot If /B O C=44^@, find...

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