The order of rotational the opposite of a geometric figure is the variety of times you have the right to rotate the geometric number so that it looks specifically the exact same as the initial figure.

You only have to rotate the number up come 360 degrees. As soon as you have rotated the figure 360 degrees, friend are earlier to the original figure.

You are watching: Which figure has the same order of rotational symmetry as a rectangle?

Let us begin with a form that has an bespeak of rotational the opposite of 1. A rotational symmetry of stimulate 1 means that the form will look like its original only as soon as after friend rotated the shape 360 degrees. The arrow you see listed below has a rotational symmetry of order 1.

You execute not must do 90 levels rotation each time. You deserve to rotate a figure any type of amount of levels you choose to check out if friend will acquire the original figure.

In our instance above, we rotated a rectangle 90 levels each time. An alert that us were may be to acquire the original shape twice. The very first time we obtained the initial image, we got it through a rotation the 180 degrees and the 2nd time, we obtained it through a rotation of 360 degrees. Due to the fact that we were able to return the initial shape 2 times, the rectangle has actually rotational the opposite of order 2.

In this last example above, us rotated a hexagon 60 levels each time. Every 60 degrees rotation returns the original shape together you deserve to see above. Since we to be able to return the initial shape 6 times, the hexagon has actually rotational the opposite of bespeak 6.

## Other instances of stimulate of rotational symmetry.

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Each 90 degrees rotation the a square will certainly return the original square, therefore a square has actually an order of rotational symmetry of 4. Notice that 4 times 90 degrees = 360 degrees.Each 120 levels rotation the an equilateral triangle will certainly return the initial equilateral triangle, therefore an equilateral triangle has an bespeak of rotational the contrary of 3. Notice that 3 time 120 degrees = 360 degrees.Each 45 degrees rotation of one octagon will return the initial octagon, for this reason an octagon has an stimulate of rotational the contrary of 8. Notice that 8 times 45 degrees = 360 degrees.Everything you have to prepare for vital exam! K-12 tests, GED mathematics test, basic math tests, geometry tests, algebra tests.

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