Given 2 unequal sides and one angle of a parallelogram, how many such parallelograms are possible? [2 MARKS]

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Solution

Concept: 2 Marks

For a parallelogram with 2 unequal sides known, all 4 sides are known because 2 pairs of opposite sides are equal.

If one angle is known, all the other 4 angles are known because adjacent angles are supplementary and opposite are equal.

Hence, all angles and all sides are known. Hence there is only one parallelogram that can be created with given data.

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Similar questions

Q. 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°.
(v) All the sides are equal and one angle is 90°.
(vi) All the angles are equal and the adjacent sides are unequal.

Q. Find the quadrilateral with given property.

A. A parallelogram,where diagonals bisect at right angles, all sides are equal and none of the angles are equal to

90^{\circ}

.

B:A quadrilateral, where only one pair of opposite sides is parallel and unequal.

How many lines of symmetry are present in a parallelogram? Include a diagram for reference. [2 MARKS]

Q. Two unequal angles of a parallelogram are in the ratio 2 : 3. Find all its angles in degrees.

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