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Rotation, in the plane of the grid, through 180 degrees.

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Do rotations preserve or change the orientation of the figure?

They change the orientation.


What changes the position or orientation of a figure on a coordinate plane?

This is a transformation which could be a rotation, translation or reflection.


Displacement rotation of a geometrical figure in maths?

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.


What is a transformation that turns a figure around a given point?

A transformation that turns a figure around a given point is called a rotation. In a rotation, every point of the figure moves in a circular path around the center point, known as the center of rotation, by a specified angle. The distance from each point to the center remains constant, and the orientation of the figure changes according to the direction and degree of rotation. This transformation preserves the shape and size of the figure.


What is the name of the transformation in which each point on a figure is turned through a given angle and direction around a given point?

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.


What does a rotation mean in Geometry?

In geometry, a rotation refers to the movement of a figure around a fixed point, called the center of rotation. The figure remains the same shape and size, but it changes its position, orientation, or both. A rotation can be either clockwise or counterclockwise, and is measured in degrees.


What type of transformation changes the orientation of a figure?

A transformation that changes the orientation of a figure is called a reflection. In a reflection, the figure is flipped over a line, known as the line of reflection, resulting in a mirror image that has a reversed orientation. Other transformations, such as rotations and translations, do not change the orientation of the figure.


When a figure is translated its orientation?

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Which transformation will be equivalent to rotating a figure 90 counterclockwise?

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.


What do you call it when you turn a figure?

Rotation.


How do you find the smallest angle of rotational symmetry for a figure?

To find the smallest angle of rotational symmetry for a figure, divide 360 degrees by the number of rotational symmetries of the figure. The result will give you the smallest angle of rotational symmetry.


Which transformations preserves the lengths of the sides of the figure?

rotation, translation, and reflection