Angle of Rotation
The angle of rotation is the smallest angle
a shape is turned to make it look the same
With rotational symmetry,
a shape can be rotated
(turned) and still look
the same.
The hexagon looks the same 6 times when turned
                          360 degrees
This hexagon has an ORDER OF ROTATION of 6
  This hexagon has an angle of rotation of 60
The hexagon looks the same after a 60  turn.
To calculate the
ANGLE of rotation
divide 360 by the
ORDER of rotation
360
6
=
60
How many degrees
must the figure
turn to look
the same?

(angle of rotation)
How many times will this figure look the same
after a 360 degree turn?       (order of rotation)
Calculate angle
of rotation by
dividing 360
by 2

The figure to the left has
an order of rotation of

It will look the same twice
when you turn the figure
360 degrees.
360
2
=
2
Calculate angle
of rotation by
dividing 360
by 3
The figure to the left has
an order of rotation of

It will look the same thrice
when you turn the figure
360 degrees
360
3
=
3
Calculate angle
of rotation by
dividing 360
by 1
This figure has an order
of rotation of ONE.



360
1
=
ORDER of rotation

Divide 360 by the ORDER of rotation

to find the                 of rotation.

ANGLE
360
ORDER of rotation

Divide 360 by the ORDER of rotation

to find the                 of rotation.

ANGLE
360
5
=
Angle
of
rotation
ORDER of rotation

Divide 360 by the ORDER of rotation

to find the                 of rotation.

ANGLE
360
=
ORDER of rotation

Divide 360 by the ORDER of rotation

to find the                 of rotation.

ANGLE
360
2
=
Angle
of
rotation
ORDER of rotation

Divide 360 by the ORDER of rotation

to find the                 of rotation.

ANGLE
360
ORDER of rotation

Divide 360 by the ORDER of rotation

to find the                 of rotation.

ANGLE
360
6
=
Angle
of
rotation
ORDER of rotation

Divide 360 by the ORDER of rotation

to find the                 of rotation.

ANGLE
360
ORDER of rotation

Divide 360 by the ORDER of rotation

to find the                 of rotation.

ANGLE
360
4
=
Angle
of
rotation
ORDER of rotation

Divide 360 by the ORDER of rotation

to find the                 of rotation.

ANGLE
360
ORDER of rotation

Divide 360 by the ORDER of rotation

to find the                 of rotation.

ANGLE
360
1
=
Angle
of
rotation
ORDER of rotation

Divide 360 by the ORDER of rotation

to find the                 of rotation.

ANGLE
360
ORDER of rotation

Divide 360 by the ORDER of rotation

to find the                 of rotation.

ANGLE
360
5
=
Angle
of
rotation
ORDER of rotation

Divide 360 by the ORDER of rotation

to find the                 of rotation.

ANGLE
360
ORDER of rotation

Divide 360 by the ORDER of rotation

to find the                 of rotation.

ANGLE
360
5
=
Angle
of
rotation
ORDER of rotation

Divide 360 by the ORDER of rotation

to find the                 of rotation.

ANGLE
360
ORDER of rotation

Divide 360 by the ORDER of rotation

to find the                 of rotation.

ANGLE
360
3
=
Angle
of
rotation
ORDER of rotation

Divide 360 by the ORDER of rotation

to find the                 of rotation.

ANGLE
360
=
ORDER of rotation

Divide 360 by the ORDER of rotation

to find the                 of rotation.

ANGLE
360
3
=
Angle
of
rotation
The


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