Class 9 Exam > Class 9 Questions > Which of the following is not true for a para...
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Which of the following is not true for a parallelogram?
- a)Diagonals bisect each other
- b)Opposite sides are equal
- c)Opposite angles are equal
- d)Opposite angles are bisected by diagonals
Correct answer is option 'D'. Can you explain this answer?
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Which of the following is not true for a parallelogram?a)Diagonals bis...
Because .
option ..A ,B and C is the property of parallelogram
but option D is not property?
option ..A ,B and C is the property of parallelogram
but option D is not property?
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Which of the following is not true for a parallelogram?a)Diagonals bis...
Explanation:
A parallelogram is a quadrilateral with opposite sides that are parallel and equal in length. It has several properties that are true for all parallelograms. However, one of the options given is not true for a parallelogram.
a) Diagonals bisect each other:
This property is true for a parallelogram. The diagonals of a parallelogram bisect each other. This means that the point where the diagonals intersect divides each diagonal into two equal parts.
b) Opposite sides are equal:
This property is also true for a parallelogram. Opposite sides of a parallelogram are equal in length. This is a consequence of the definition of a parallelogram, which states that opposite sides are parallel.
c) Opposite angles are equal:
This property is true for a parallelogram. Opposite angles of a parallelogram are equal in measure. This can be proven using the properties of parallel lines and the fact that the sum of the angles in a triangle is 180 degrees.
d) Opposite angles are bisected by diagonals:
This property is not true for a parallelogram. The diagonals of a parallelogram do not bisect the opposite angles. They divide the parallelogram into four triangles, but the angles formed by the diagonals and the sides of the parallelogram are not necessarily equal in measure.
Therefore, the correct answer is option D. Opposite angles are not bisected by diagonals in a parallelogram.
A parallelogram is a quadrilateral with opposite sides that are parallel and equal in length. It has several properties that are true for all parallelograms. However, one of the options given is not true for a parallelogram.
a) Diagonals bisect each other:
This property is true for a parallelogram. The diagonals of a parallelogram bisect each other. This means that the point where the diagonals intersect divides each diagonal into two equal parts.
b) Opposite sides are equal:
This property is also true for a parallelogram. Opposite sides of a parallelogram are equal in length. This is a consequence of the definition of a parallelogram, which states that opposite sides are parallel.
c) Opposite angles are equal:
This property is true for a parallelogram. Opposite angles of a parallelogram are equal in measure. This can be proven using the properties of parallel lines and the fact that the sum of the angles in a triangle is 180 degrees.
d) Opposite angles are bisected by diagonals:
This property is not true for a parallelogram. The diagonals of a parallelogram do not bisect the opposite angles. They divide the parallelogram into four triangles, but the angles formed by the diagonals and the sides of the parallelogram are not necessarily equal in measure.
Therefore, the correct answer is option D. Opposite angles are not bisected by diagonals in a parallelogram.
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Which of the following is not true for a parallelogram?a)Diagonals bisect each otherb)Opposite sides are equalc)Opposite angles are equald)Opposite angles are bisected by diagonalsCorrect answer is option 'D'. Can you explain this answer?
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