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Parallelogram

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Question

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All rectangle, squares and rhombus are _________ but a trapezium is not.

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Solution

Parallelogram.
All square, rectangle and rhombus are parallelogram as their opposite sides are parallel but the trapezium has only one pair of sides parallel.

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Q. All the properties of a parallelogram are applicable for a rhombus and a rectangle but not a square.

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Q. Determine if the given statements are sometimes , always or never true.
(i) A parallelogram is a quadrilateral.
(ii) A parallelogram is a trapezium.
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Q. State whether True or False.
(a) All rectangles are squares.
(b) All rhombuses are parallelograms.
(c) All squares are rhombuses and also rectangles.
(d) All squares are not parallelograms.
(e) All kites are rhombuses.
(f) All rhombuses are kites.
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(i) A quadrilateral with all sides and all angles equal is a .............
(ii) A quadrilateral with four equal sides and no right angles can be called a...................
(iii) A quadrilateral with exactly two sides parallel is a......................
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