Question

perform a activity to determine the order of rotational symmetry of a parallelogram when it is rotated about the point of intersection of its diagonal

Answer 1

Answer:

Also, what is the order of rotation of a parallelogram?

Total Order of Symmetry

Shape Axes of symmetry Order of rotational symmetry

Isosceles trapezium 1 1

Parallelogram 0 2

Rhombus 2 2

Rectangle 2 2

Furthermore, what is the order of rotational symmetry of a isosceles triangle? Order 1

In this manner, what is the order of rotational symmetry?

Rotational symmetry is when an object is rotated around a center point (turned) a number of degrees and the object appear the same. The order of symmetry is the number of positions the object looks the same in a 360-degree rotation.

What is the order of rotational symmetry of a star?

Rotational symmetry of a regular 5-point star A regular 5-point star. If a shape only fits into itself once, it has no rotational symmetry. We also state that it has rotational symmetry of order 1.

35 Related Question Answers Found

What is the order of rotation of semicircle?

order of rotation of semi-circle is 2. angle of rotation of semi-circle is 180 degree. If you want to find angle of rotaton of a shape, then divide 360 from order of rotation of a shape.

What is the order of rotation of equilateral triangle?

The order of rotational symmetry of an equilateral triangle is 3 as the shape fits onto itself 3 times in a full turn. Order of rotation of a figure is the number of the exact replicas of the figure we would get if we rotate the figure over a course of 360 degrees.

What is the order of rotation of a regular hexagon?

The order of symmetry is the number of times the figure coincides with itself as its rotates through 360° . Example: A regular hexagon has rotational symmetry. The angle of rotation is 60° and the order of the rotational symmetry is 6 .

Do the diagonals of a trapezium cross at right angles?

It has four equal sides. The opposite angles are equal. The opposite sides are parallel. The diagonals bisect each other at right angles.

Does a diamond have rotational symmetry?

Order 2

Does a rectangle have rotational symmetry?

Order 2

Answer 2

$\large{\boxed{\boxed{\sf{Aim \: Of \: The \: Activity}}}}$

~ to determine the order of rotational symmetry of a parallelogram when it is rotated about the point of intersection of its diagonal

$\large{\boxed{\boxed{\sf{Material \: Required }}}}$

a sheet of thick paper , a sheet of transparent paper , pencil , scale , a pair of scissors and a pin

$\large{\boxed{\boxed{\sf{Procedure }}}}$

1. Draw a parallelogram ABCD on a sheet of paper and mark the point of Intersection of its diagonals as O. [fig.1]

2. Draw another parallelogram A'B'C'D' on a sheet of transparent paper, identical to the parallelogram ABCD. Mark the point of intersection of its diagonals at O'. [fig.2]

3. Place parallelogram A'B'C'D' over parallelogram ABCD so that A', B', C' and D' fall on A, B, C and D, respectively. You will find that O' falls on O. [fig.3]

4. Stick a pin into the shapes at O and slowly turn parallelogram A'B'C'D' in clockwise direction. [fig.4]

$\large{\boxed{\boxed{\sf{Observation }}}}$

When parallelogram A'B'C'D' is made to take one full turn by rotating through 360° , it coincides with parallelogram ABCD in two positions - once when A' falls on C and again when A' falls on A.

$\large{\boxed{\boxed{\sf{Conclusion }}}}$

Thus, a parallelogram has rotational symmetry of order 2 when its centre of rotation is the point of intersection of its diagonals.

[ Note - see the figure in the attachment ]