Question

If a quadrilateral is a parallelogram,then which of the following is not true?​

Answer 1

Complete Question :- If a quadrilateral is a parallelogram, then which of the following is not true ?

A) Diagonals bisect each other .

B) Opposite sides are equal .

C) Opposite angles are equal .

D) Opposite angles are bisected by diagonals .

Answer :- D) Opposite angles are bisected by diagonals .

Explanation :-

• Opposite sides are parallel .
• Opposite sides are congruent = (B) is correct .
• Opposite angles are congruent = (C) is correct .
• The diagonals of a parallelogram bisect each other . { Divides in equal parts .} = (A) is correct .
• Interior angles on the same side are supplementry .{ Equal to 180°. }
• Area = Base * Height = a * b * sin θ .
• Perimeter = 2(a + b) = 4a .

Now,

In Rhombus :-

• The diagonals are equal and bisect each other at 90° .
• Therefore, the diagonals bisect the opposite angles .

In Square :-

• The diagonals are equal and bisect each other at 90° .
• Therefore, the diagonals bisect the opposite angles .

In Rectangle :-

• The diagonals are equal and bisect each other only .
• Therefore, The diagonals does not bisect the opposite angles .

therefore, we can conclude that, opposite angles are bisected by diagonals in square and rhombus only.

Hence, statement (D) is not true about parallelogram .

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