An equivalent transformation to rotating a figure 90 degrees counterclockwise can be achieved by reflecting the figure across the line (y = x) and then reflecting it across the x-axis. This combination of reflections results in the same final orientation as the 90-degree counterclockwise rotation.
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 angles have the same measure. In the reflection the order of the angles are changed from clockwise to counterclockwise.
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.
The transformation you're referring to is called rotation. In a rotation, each point of a figure is turned around a specific point, known as the center of rotation, through a specified angle and direction (clockwise or counterclockwise). This transformation preserves the shape and size of the figure while changing its orientation.
A figure resulting from a transformation is called an IMAGE
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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.
A rotation of 270 degrees counterclockwise is a transformation that turns a figure around a fixed point by 270 degrees in the counterclockwise direction. This rotation can be visualized as a quarter turn in the counterclockwise direction. It is equivalent to rotating the figure three-fourths of a full revolution counterclockwise.
The angles have the same measure. In the reflection the order of the angles are changed from clockwise to counterclockwise.
The transformation you're referring to is called rotation. In a rotation, each point of a figure is turned around a specific point, known as the center of rotation, through a specified angle and direction (clockwise or counterclockwise). This transformation preserves the shape and size of the figure while changing its orientation.
A figure resulting from a transformation is called an IMAGE
It is the figure before any transformation was applied to it.
It is the image from the transformation.
A transformation that slides a figure horizontally is called a translation. A transformation that slides a figure vertically is also called a translation.
transformation
congruent figure
The new resulting figure after transformation depends on the specific type of transformation applied, such as translation, rotation, reflection, or scaling. Each transformation alters the original figure's position, orientation, or size while maintaining its fundamental shape and properties. To determine the exact resulting figure, details about the transformation parameters and the original figure are necessary. Without that information, it's impossible to specify the new figure accurately.