ordered pair
The movement of a figure to a new position by turning it around a point is known as rotation. In geometry, this involves rotating the figure about a fixed point, called the center of rotation, by a certain angle. The distance from the center of rotation to any point on the figure remains constant during this transformation. Rotations can occur in both clockwise and counterclockwise directions.
transformation Displacement
Reflection
In mathematics, displacement rotation refers to moving a geometrical figure from one location to another while simultaneously rotating it around a fixed point. This transformation involves both translation (changing the position of the figure) and rotation (changing the orientation of the figure). The displacement component involves shifting the figure horizontally and vertically, while the rotation component involves turning the figure around a specific point by a certain angle. This combined transformation results in a new position and orientation of the original figure.
Rotating a figure 180 degrees counterclockwise is equivalent to rotating it 180 degrees clockwise. Both transformations result in the figure being turned upside down, placing each point at its diametrically opposite position relative to the center of rotation. This transformation can also be represented as reflecting the figure across both the x-axis and y-axis simultaneously.
The movement of a figure to a new position by turning it around a point is known as rotation. In geometry, this involves rotating the figure about a fixed point, called the center of rotation, by a certain angle. The distance from the center of rotation to any point on the figure remains constant during this transformation. Rotations can occur in both clockwise and counterclockwise directions.
transformation Displacement
Rotation
Reflection
It is called a reflection.
you guys dont know me eitherA translationTranslationA translation is movement of a figure to a new position along a straight line.
In mathematics, displacement rotation refers to moving a geometrical figure from one location to another while simultaneously rotating it around a fixed point. This transformation involves both translation (changing the position of the figure) and rotation (changing the orientation of the figure). The displacement component involves shifting the figure horizontally and vertically, while the rotation component involves turning the figure around a specific point by a certain angle. This combined transformation results in a new position and orientation of the original figure.
Rotating a figure 180 degrees counterclockwise is equivalent to rotating it 180 degrees clockwise. Both transformations result in the figure being turned upside down, placing each point at its diametrically opposite position relative to the center of rotation. This transformation can also be represented as reflecting the figure across both the x-axis and y-axis simultaneously.
Rotating a figure 270 degrees is like rotating the figure to the left 90 degrees. I am not sure what formula or rule you use. *Joe Jonas Rocks*
a sphere
A figure can be transformed through translations, rotations, reflections, and dilations.Translations involve moving the figure in a certain direction without rotating or flipping it. Rotations involve turning the figure around a point. Reflections involve flipping the figure over a line. Dilation involves resizing the figure proportionally.
A point is the only figure that is mapped onto itself by a rotation of any angle. Since a point has no dimensions or orientation, rotating it around any axis or angle does not change its position. Other geometric figures, like lines or shapes, will only map onto themselves at specific angles, not all angles.