Rectangle

A rectangle is a quadrilateral whose opposite sides are equal and parallel.

You are watching: Quadrilateral with no lines of symmetry

All the angles of a rectangle are right angles.

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AB = DC and AD=BC

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A rectangle has two axes of line symmetry. It has rotational symmetry of order 2 i.e. ½ turn symmetry

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The diagonals of a rectangle are equal and bisect each other. (Bisect means cuts in half)

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AC = BD.

OA=OB=OC=OD

Square

A square is a special rectangle. It is a rectangle with all its sides equal.

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AB ll CD and AD ll BC

AB=BC=CD=DA

A square has four axes of line symmetry. It has rotational symmetry of order 4 i.e. ¼ turn symmetry

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The diagonals of a square (i) bisect the angles of the square. (ii) bisect each other at right angles. (iii) bisect the historicsweetsballroom.comrner angles.

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Kite

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A kite is a quadrilateral with one axis of line symmetry. It has no rotational symmetry.

A kite has two pairs of adjacent sides equal.

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an inverted kite

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The diagonals cross at right angles, but do not bisect each other.

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Rhombus

A rhombus is a special kite with two axes of symmetry. It has rotational symmetry of order 2 i.e. ½ turn symmetry

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The diagonals of a rhombus bisect each other at right angles. The diagonals of a rhombus bisect the historicsweetsballroom.comrner angles.

The opposite sides of a rhombus are parallel. All the sides are equal, and opposite angles are equal.

Parallelogram

A parallelogram is a quadrilateral with no axis of line symmetry. It has rotational symmetry of order 2 i.e. ½ turn symmetry

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The opposite sides of a parallelogram are equal and parallel. The opposite angles of a parallelogram are equal.

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Trapezium

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A trapezium has one pair of parallel sides. It has no rotational symmetry.An ordinary trapezium has no axis of line symmetry An isosceles trapezium has one axis of line symmetry