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.
To find the image of the point (3, 5) after a rotation of -270 degrees (which is equivalent to a 90-degree rotation clockwise), you can use the rotation formula. The new coordinates will be (y, -x), resulting in the point (5, -3). Thus, the image of the point (3, 5) after a -270-degree rotation is (5, -3).
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.
What is the image of point (3, 5) if the rotation is
To find the image of the point (3, 5) after a rotation of -90º (which is equivalent to a clockwise rotation of 90º), you can use the rotation formula. The new coordinates will be (y, -x), which transforms the point (3, 5) into (5, -3). So, the image of the point (3, 5) after a -90º rotation is (5, -3).
To find the image of the point (3, 5) after a rotation of -270 degrees (which is equivalent to a 90-degree rotation clockwise), you can use the rotation formula. The new coordinates will be (y, -x), resulting in the point (5, -3). Thus, the image of the point (3, 5) after a -270-degree rotation is (5, -3).
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).