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Which of the following is not true for a...

Which of the following is not true for a parallelogram ?

A

Opposite sides are equal

B

Opposite angles are equal

C

Opposite angles are bisected by the diagonals

D

Diagonals bisect each other

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The correct Answer is:
To determine which statement is not true for a parallelogram, we need to analyze the properties of parallelograms. Let's go through the properties step by step. ### Step 1: Understand the properties of a parallelogram A parallelogram is a quadrilateral with opposite sides that are both parallel and equal in length. ### Step 2: Check the statements 1. **Opposite sides are equal**: This is true for a parallelogram. 2. **Opposite angles are equal**: This is also true for a parallelogram. 3. **Diagonals bisect each other**: This is true for a parallelogram. 4. **Opposite angles are bisected by the diagonals**: This is not necessarily true for all parallelograms. ### Step 3: Identify the false statement From the analysis: - The first three statements are true. - The statement that "opposite angles are bisected by the diagonals" is not a guaranteed property of all parallelograms. ### Conclusion The statement that is not true for a parallelogram is: **Opposite angles are bisected by the diagonals**. ### Final Answer The answer is: **Opposite angles are bisected by the diagonals** (Option C). ---

To determine which statement is not true for a parallelogram, we need to analyze the properties of parallelograms. Let's go through the properties step by step. ### Step 1: Understand the properties of a parallelogram A parallelogram is a quadrilateral with opposite sides that are both parallel and equal in length. ### Step 2: Check the statements 1. **Opposite sides are equal**: This is true for a parallelogram. 2. **Opposite angles are equal**: This is also true for a parallelogram. ...
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NCERT EXEMPLAR-QUADRILATERALS -Quadrilaterals
  1. The figure formed by joining the mid-points of the sides of a quadrila...

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  2. The diagonals AC and BD of a parallelogram ABCD intersect each other a...

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  3. Which of the following is not true for a parallelogram ?

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  4. D and E are the mid-points of the side AB and AC, respectively, of Del...

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  5. Diagonals AC and BD of a parallelogram ABCD intersect each other at O....

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  6. Diagonals of a parallelogram are perpendicular to each other. Is this ...

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  7. Can the angles 110^(@), 80^(@), 70^(@) and 95^(@) be the angles of a q...

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  8. In quadrilateral ABCD, angleA+angleD= 180^(@). What special name can b...

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  9. All the angles of a quadrilateral are equal. What special name is give...

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  10. Diagonals of a rectangle are equal and perpendicular. Is this statemen...

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  11. Can all the four angles of a quadrilateral be obtuse angles ? Give rea...

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  12. In DeltaABC, AB = 5cm , BC = 8 cm and CA = 7cm. If D and E are respect...

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  13. In the figure, it is given that BDEF and FDCE are parallelogram. Can y...

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  14. In figure, ABCD and AEFG are two parallelograms. If angleC = 55^(@), ...

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  15. Can all the angles of a quadrilateral be acute angles ? Give reason fo...

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  16. Can all the angles of a quadrilateral be right angles ? Give reason fo...

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  17. Diagonals of a quadrilateral ABCD bisect each other. If angleA=35^(@),...

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  18. Opposite angles of a quadrilateral ABCD are equal. If AB = 4 cm, deter...

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  19. One angle of a quadrilateral is 108^0 and the remaining three angles a...

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  20. ABCD is a trapezium in which AB||DC and angleA=angleB=45^(@). Find an...

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