Which of the following is correct for a parallelogram-Diagonals are equal-All sides are equal-Adjacent angles are equal-Adjacent angles are supplementary-

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Byju's Answer

Standard IX

Mathematics

Theorem 2: Opposite Sides in a Parallelogram Are Equal

Which of the ...

Question

Which of the following is correct for a parallelogram?

All sides are equal.

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Adjacent angles are equal.

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Diagonals are equal.

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Adjacent angles are supplementary.

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Solution

The correct option is D Adjacent angles are supplementary.
A parallelogram has opposite sides as well as opposite angles equal but not the adjacent sides or angles
Also, the diagonals of a parallelogram bisect each other.
But adjacent angles are supplementary.

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Similar questions

Name each of the following parallelograms :

(i) The diagonals are equal and the adjacent sides are unequal.

(ii) The diagonals are equal and the adjacent sides are equal.

(iii) The diagonals are unequal and the adjacent sides are equal.

(iv) All the sides are equal and one angle is $60^{\circ}$

(v) All the sides are equal and one angle is $90^{\circ}$

(vi) All the angles are equal and the adjacent sides are unequal.

Q. Consider the following statements:
When two straight lines intersect:

(i) adjacent angles are complementary

(ii) adjacent angles are supplementary

(iii) opposite angles are equal

(iv) opposite angles are supplementary

Of these statements

(a) (i) and (ii) are correct

(b) (ii) and (iii) are correct

(c) (i) and (iv) are correct

(d) (ii) and (iv) are correct

Q. Construct the following figures.
(i) A pair of adjacent angles
(ii) Two supplementary angles which are not adjacent angles.
(iii) A pair of adjacent complementary angles.

Which of the following statements are true., (T) and which are false (F)?

(i) Angles forming a linear pair are supplementary.
(ii) If two adjacent angles are equal, then each angle measures $90^{\circ}$ .
(iii) Angles forming a linear pair can both be acute angles.
(iv) If angles forming a linear pair are equal, then each of these angles is of measure $90^{\circ}$ .

Q. Name the following parallelograms :
i) Adjacent sides are equal, diagonals are unequal.
ii) Adjacent sides are unequal, but adjacent angles are equal.
iii) The diagonals are equal and the adjacent sides are unequal.
iv) The diagonals intersect at right angle and adjacent sides are equal.
v) All sides are equal and diagonals are equal.
vi) Adjacent angles are equal, diagonals are equal, adjacent sides are unequal.

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Which of the following is correct for a parallelogram?

The correct option is D Adjacent angles are supplementary.A parallelogram has opposite sides as well as opposite angles equal but not the adjacent sides or angles Also, the diagonals of a parallelogram bisect each other. But adjacent angles are supplementary.

The correct option is D Adjacent angles are supplementary.
A parallelogram has opposite sides as well as opposite angles equal but not the adjacent sides or angles
Also, the diagonals of a parallelogram bisect each other.
But adjacent angles are supplementary.