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The regular pentagon is the polygon that will carry itself onto itself when rotated by 72 degrees. This is because a pentagon has five equal sides and angles, and a rotation of 72 degrees corresponds to one-fifth of a complete turn (360 degrees). Each rotation by this angle aligns one vertex with the position of the next vertex, maintaining the polygon's symmetry.
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Which regular polygon has a minimum rotation of 45 to carry the polygon onto itself?
The regular octagon is the polygon that has a minimum rotation of 45 degrees to carry the polygon onto itself. An octagon has 8 sides, and when rotated by 360 degrees, it can be divided into 8 equal parts, resulting in a 45-degree rotation for each part. Thus, a rotation of 45 degrees maps the octagon onto itself.
Can a regular polygon with an angle measure of 160 degrees be used by itself to make a tessellation?
No, it is not possible.
What rotation will carry a regular hexagon onto itself?
A regular hexagon can be rotated onto itself by multiples of 60 degrees. Specifically, the rotations that will carry the hexagon onto itself are 0 degrees, 60 degrees, 120 degrees, 180 degrees, 240 degrees, and 300 degrees. These rotations correspond to the hexagon's vertices, allowing it to align perfectly with its original position.
Can a regular polygon with an angle measure of 135 degrees be used by itself to make a tesselation?
Yes. :] Yes. :]
How many degrees would a square need to be rotated to map onto itself?
A square can be rotated onto itself at specific angles of 0 degrees, 90 degrees, 180 degrees, and 270 degrees. This means it has four positions of symmetry through rotation. Therefore, a square can be rotated by any multiple of 90 degrees to map onto itself.
Which regular polygon has a minimum rotation of 45 to carry the polygon onto itself?
The regular octagon is the polygon that has a minimum rotation of 45 degrees to carry the polygon onto itself. An octagon has 8 sides, and when rotated by 360 degrees, it can be divided into 8 equal parts, resulting in a 45-degree rotation for each part. Thus, a rotation of 45 degrees maps the octagon onto itself.
What is the minimum number of degrees that a regular hexagon can be rotated before it carries onto itself.?
360/6 = 60 degrees.
Can a regular polygon with an angle measure of 160 degrees be used by itself to make a tessellation?
No, it is not possible.
What is the minimum number of degrees that a regular hexagon cannot be rotated before it carries onto itself?
The smallest possible value above 0 degrees.
What rotation will carry a regular hexagon onto itself?
A regular hexagon can be rotated onto itself by multiples of 60 degrees. Specifically, the rotations that will carry the hexagon onto itself are 0 degrees, 60 degrees, 120 degrees, 180 degrees, 240 degrees, and 300 degrees. These rotations correspond to the hexagon's vertices, allowing it to align perfectly with its original position.
Can a regular polygon with an angle measure of 135 degrees be used by itself to make a tesselation?
Yes. :] Yes. :]
A regular 40 sided polygon is rotated with its center of rotation at its center. what is the smallest degree of rotation needed to map the polygon back onto itself?
At every 9 degree turn it will look the same then after 40 turns it will map back on itself.
How many degrees would a square need to be rotated to map onto itself?
A square can be rotated onto itself at specific angles of 0 degrees, 90 degrees, 180 degrees, and 270 degrees. This means it has four positions of symmetry through rotation. Therefore, a square can be rotated by any multiple of 90 degrees to map onto itself.
Which regular polygon will not tessellate by itself?
A regular pentagon
What is the smallest number of degrees needed to rotate a regular pentagon around its center onto itself?
The smallest number of degrees needed to rotate a regular pentagon around its center onto itself is 72 degrees. This is because a regular pentagon has five equal sides and angles, so it can be rotated by 360 degrees divided by 5, which equals 72 degrees, to achieve the same orientation.
What is the minimum number of degrees that an equilateral triangle can be rotated before it carries onto itself?
The minimum number of degrees that an equilateral triangle can be rotated before it carries onto itself is 60 degrees bout its vertical axis.
How do you know when a regular polygon can be used by itself to make a tessellation?
It can be used only if the measure of its interior angle is a factor of 360 degrees.
