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Which regular polygon when rotated 72 degrees will carry the polygon onto itself?
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.
What regular polygon that has an order of rotational symmetry of 5?
A regular polygon with an order of rotational symmetry of 5 is a regular pentagon. This means that the pentagon can be rotated by multiples of 72 degrees (360 degrees divided by 5) and still look the same. Each of its five sides and angles is equal, contributing to this symmetrical property.
The angle at the centre of a regular polygon is 72 degrees how many sides has the polygon?
360 ÷ 72 = 5, so that the regular polygon is a pentagon (a five-sided polygon).
How many sides does a regular polygon have if one exterior angle is 72?
Sum of exterior angles of any polygon is 360 degrees. So each being 72 degrees implies that there are 360/72 = 5 of them ie you have a regular pentagon.
What is the number of sides for a polygon whose exterior is 72?
If it's a regular polygon and each exterior angle measures 72 degrees then it is a pentagon which has 5 sides
What regular polygon that has an order of rotational symmetry of 5?
A regular polygon with an order of rotational symmetry of 5 is a regular pentagon. This means that the pentagon can be rotated by multiples of 72 degrees (360 degrees divided by 5) and still look the same. Each of its five sides and angles is equal, contributing to this symmetrical property.
The angle at the centre of a regular polygon is 72 degrees how many sides has the polygon?
360 ÷ 72 = 5, so that the regular polygon is a pentagon (a five-sided polygon).
If the exterior angle of a regular polygon equals 72 degrees what shape is the polygon?
Pentagon A+
If the exterior angle of a regular polygon equals 72 degrees what is the shape of the polygon?
The sum of all exterior angles of a polygon is 360 degrees. In a regular polygon, all of the exterior angle are equal, so there must be 360/72=5 sides of the polygon, which makes it a pentagon.
How many degrees is the rotational symmetry for a pentagon?
A pentagon has roatotional symmetry only if it is a regulat pentagaon. In that case, it has a rotational symmetry of 360/5 degrees and its multiples. That is, 72, 144, 216, and 288 degrees.
How many sides does a regular polygon have if one exterior angle is 72?
Sum of exterior angles of any polygon is 360 degrees. So each being 72 degrees implies that there are 360/72 = 5 of them ie you have a regular pentagon.
What is the number of sides for a polygon whose exterior is 72?
If it's a regular polygon and each exterior angle measures 72 degrees then it is a pentagon which has 5 sides
What shape rotates 72 degrees and has 5 lines of symmetry?
A regular pentagon.
How many sides does a regular polygon have if its interior angles are 175 degrees?
72
If the measure of the vertex angle of a regular polygon is 175 how many sides does the polygon have?
If each interior angle is 175 degrees then the polygon will have 72 sides
If a regular polygon has exterior angles that measure 72 degrees how many sides does the polygon have?
5 sides and it is a regular pentagon
What is the measure of the central angle of a reqular polygon is 72 degrees how many sides does it have?
360/72 ie 5 sides
