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A parallelogram - including rhombus and rectangle - has 180 degree symmetry. A square has 90 deg.

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Which quadrilaterals always have both line symmetry and rotational symmetry?

The quadrilaterals that always have both line symmetry and rotational symmetry are squares and rectangles. Squares have four lines of symmetry and rotational symmetry of order 4, while rectangles have two lines of symmetry and rotational symmetry of order 2. Other quadrilaterals, like rhombuses and parallelograms, may have one type of symmetry but not both. Thus, squares and rectangles are the only quadrilaterals that consistently possess both symmetries.


What quadrilaterals have rotational symmetry of order greater than one?

Parallelograms - including special cases.


How do you find a sequence of rigid motions for quadrilaterals?

The answer depends on the quadrilateral. Some have rotational symmetry or reflective symmetry and it is not possible to distinguish between these and translations.


What quadrilaterals have a rotational symmetry of order 4?

A quadrilateral with a rotational symmetry of order 4 is one that can be rotated 90 degrees, 180 degrees,270 degrees, and 360 degrees onto itself. The most common examples of such quadrilaterals are the square and the rhombus. In these shapes, each rotation results in the same appearance, demonstrating their high degree of symmetry.


Is triangle and square have line of symmetry and rotational line of symmetry?

Yes, both triangles and squares have lines of symmetry and rotational symmetry. An equilateral triangle has three lines of symmetry and a rotational symmetry of order 3, meaning it can be rotated by 120 degrees and still look the same. A square has four lines of symmetry and a rotational symmetry of order 4, allowing it to be rotated by 90 degrees and still appear unchanged. Other types of triangles and quadrilaterals may have different numbers of symmetries based on their specific shapes.


What is the rotational symmetry of a trapezoid?

A trapezium does not have rotational symmetry.


Does z have rotational symmetry but no line symmetry?

The letters H and Z have both line symmetry and rotational symmetry


How much rotational symmetry does an octagon have?

It has 8lines of rotational symmetry


What is the rotational symmetry of a rectangle?

It has rotational symmetry to the order of 2


Is z rotational symmetry?

No a Z doesn't have a rotational symmetry


Which triangles have rotational symmetry?

Equilateral triangles have rotational symmetry.


What rotational symmetry does a trapezoid have?

A trapezoid has no rotational symmetry.