The order of rotation of a 5-point star, also known as a pentagram, is 5. This means that the star can be rotated at angles of ( \frac{360^\circ}{5} = 72^\circ ) and still look the same. Each of these rotations aligns the star with a different point, demonstrating its symmetrical properties.
The answer depends on the centre of rotation. A rotation cannot be described without specifying the centre of rotation.
5
yes, it is closed
A star typically has rotational symmetry depending on its number of points. For example, a five-pointed star has five orders of rotational symmetry, meaning it looks the same after a rotation of 72 degrees (360 degrees divided by 5). The number of orders of rotational symmetry is equal to the number of points on the star.
In a regular 5-pointed star, the sum of the acute angles at each point can be calculated by considering the geometry of the star. Each point of the star forms an angle of 36 degrees at its vertex. Since there are 5 points, the sum of the acute angles is (5 \times 36 = 180) degrees. Therefore, the sum of the acute angles in a 5-pointed star is 180 degrees.
What is the image of point (3, 5) if the rotation is
The star can be turned by 72°. Why 72°? The star has five points. To rotate it until it looks the same, you need to make 1 / 5 of a complete 360° turn. Since 1/5 * 360° = 72°, this is a 72° angle rotation. So yes, a five point star has rotational symmetry. :D
A 5 point star has 5 lines of symmetry.
It then is: (-3, -5)
The answer depends on the centre of rotation. A rotation cannot be described without specifying the centre of rotation.
The answer depends on the centre of rotation. A rotation cannot be described without specifying the centre of rotation.
The answer depends on the centre of rotation. A rotation cannot be described without specifying the centre of rotation.
The image is (-5, 3)
If the point (3,5) is rotated 180 degrees, it becomes (-3,-5).
If the point (3,5) is rotated 180 degrees, it becomes (-3,-5).
(-5,3)
A transformation, in the form of a rotation requires the centre of rotation to be defined. There is no centre of rotation given.