Name the quadrilaterals which have these properties.
a) A parallelogram whose sides are all equal.

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Solution

A rhombus and square
A rhombus is a quadrilateral whose all four sides are equal in length and opposite sides are parallel to each other.
A square is a quadrilateral whose all four sides are equal in length and opposite sides are parallel to each other.

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Name the quadrilaterals which have these properties.

A rectangle whose sides are all equal.

Name a quadrilateral whose sides and angles are all equal .

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

(i) In a parallelogram, the diagonals are equal.

(ii) In a parallelogram, the diagonals bisect each other.

(iii) In a parallelogram, the diagonals bisect each other at right angles.

(iv) In any quadrilateral, if a pair of opposite sides is equal, it is a parallelogram.

(v) If all the angles of a quadrilateral are equal, it is a parallelogram.

(vi) If three sides of a quadrilateral are equal, it is a parallelogram.

(vii) If three angles of a quadrilateral are equal, it is a parallelogram

(viii) If all the sides of a quadrilateral are equal it is a parallelogram.

Name a quadrilateral whose all sides are equal.

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