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In a parallelogram opposite sides are eq...

In a parallelogram opposite sides are equal

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Prove that In a parallelogram,opposite side are equal

Assertion: Every rectangle is a parallelogram. Reason: Rectangle satisfies all the properties of parallelogram as opposite sides are equal and parallel, diagonals biseect each other and opposite angles are equal.

Knowledge Check

  • Is quadrilateral ABCD a parallelogram? I. Its opposite sides are equal. II. Its opposite angles are equal. The correct answer is : (a) /(b)/(c )/(d).

    A
    if the question can be answered by one of the given statements alone and not by the other,
    B
    if the quesiton can be answered by either statement alone,
    C
    if the question can be answered by both the statements together but not by any one of the two,
    D
    if the question cannot be answered by using both the statements together.

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    Theorem 8.4 : In a parallelogram, opposite angles are equal.

    A quadrilateral is a parallelogram if its opposite sides are equal.

    A quadrilateral is parallelogram it its opposite sides are equal

    The converse of the above properties are also true i.e.(i) A quadrilateral is a parallelogram if its opposite sides are equal.(ii)A quadrilateral is a parallelogram if its opposite angles are equal.(iii) A quadrilateral is a parallelogram if it has one pair of opposite sides parallel and equal.(iv) A quadrilateral is a parallelogram if its diagonals bisect each other .

    Which of the following statements are true (T) and which are false (F)? In a parallelogram, the diagonals are equal. In a parallelogram, the diagonals bisect each other. In a parallelogram, the diagonals intersect each other at right angles. In any quadrilateral, if a pair of opposite sides is equal, it is a parallelogram. If all the angles of a quadrilateral are equal, it is a parallelogram. If three sides of a quadrilateral are equa, it is a parallelogram. If three angles of a quadrilateral are equal, it is a parallelogram. If all the sides of a quadrilateral are equal it is a parallelogram

    Name each of the following parallelograms. All the sides are equal and one angle is 60^@ .

    Name each of the following parallelograms. All the sides are equal and one angle is 90^@ .

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