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Which of the following is not true for the Parallelogram?
- a)Opposite angles are bisected by the diagonals
- b)Opposite sides are equal
- c)Opposite angles are equal
- d)Diagonals bisect each other
Correct answer is option 'A'. Can you explain this answer?
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Which of the following is not true for the Parallelogram?a)Opposite an...
Explanation:
A parallelogram is a quadrilateral with opposite sides that are parallel and equal in length. Let's analyze each statement provided in the question to determine which one is not true for a parallelogram.
a) Opposite angles are bisected by the diagonals:
This statement is not true for a parallelogram. The diagonals of a parallelogram do not necessarily bisect the opposite angles. In some cases, the diagonals may intersect inside the parallelogram, while in others, they may not intersect at all. Therefore, this statement is incorrect.
b) Opposite sides are equal:
This statement is true for a parallelogram. Opposite sides of a parallelogram are parallel and congruent, which means they have the same length.
c) Opposite angles are equal:
This statement is true for a parallelogram. Opposite angles in a parallelogram are congruent, meaning they have the same measure. This property is a consequence of the fact that opposite sides are parallel.
d) Diagonals bisect each other:
This statement is true for a parallelogram. The diagonals of a parallelogram bisect each other, meaning they divide each other into two equal segments. The point of intersection of the diagonals is the midpoint of each diagonal.
In conclusion, the statement that is not true for a parallelogram is option a) Opposite angles are bisected by the diagonals.
A parallelogram is a quadrilateral with opposite sides that are parallel and equal in length. Let's analyze each statement provided in the question to determine which one is not true for a parallelogram.
a) Opposite angles are bisected by the diagonals:
This statement is not true for a parallelogram. The diagonals of a parallelogram do not necessarily bisect the opposite angles. In some cases, the diagonals may intersect inside the parallelogram, while in others, they may not intersect at all. Therefore, this statement is incorrect.
b) Opposite sides are equal:
This statement is true for a parallelogram. Opposite sides of a parallelogram are parallel and congruent, which means they have the same length.
c) Opposite angles are equal:
This statement is true for a parallelogram. Opposite angles in a parallelogram are congruent, meaning they have the same measure. This property is a consequence of the fact that opposite sides are parallel.
d) Diagonals bisect each other:
This statement is true for a parallelogram. The diagonals of a parallelogram bisect each other, meaning they divide each other into two equal segments. The point of intersection of the diagonals is the midpoint of each diagonal.
In conclusion, the statement that is not true for a parallelogram is option a) Opposite angles are bisected by the diagonals.
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Which of the following is not true for the Parallelogram?a)Opposite an...
Opposite angles are bisected by the diagonals . option A
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