Rotational symmetry.
transformation Displacement
The original figure is called the pre-image. After the transformation it becomes the image.
what 4 turns can put a figure in its original positions
What is a preimage. (The new figure is called the image.)
In a translation, the original figure is called the "preimage." The figure that results after the translation is referred to as the "image." A translation involves moving the preimage to a new location in the coordinate plane without changing its shape or size.
To describe how four turns can return a figure to its original position, you can explain that each turn represents a rotation around a central point, typically 90 degrees. When you rotate a figure four times by 90 degrees, the total rotation amounts to 360 degrees, which is a full circle. Thus, after four turns, the figure aligns perfectly with its initial orientation, effectively returning it to its original position. This concept can be visualized easily with shapes like squares or circles.
a transformation
It has rotational symmetry of order 2 or more.
The resulting figure after a transformation is the new shape or position of a geometric figure following operations such as translation, rotation, reflection, or dilation. This transformation alters the original figure's size, orientation, or position while maintaining its fundamental properties, such as angles and relative distances. For example, a triangle might be rotated 90 degrees, resulting in a triangle that is oriented differently but still congruent to the original.
A type of transformation where an original figure is flipped over a line onto its image is called reflection. In this process, each point of the original figure is mapped to a corresponding point on the opposite side of the line, maintaining equal distance from the line of reflection. This creates a mirror image of the original figure.
it is called a transformation this answer was answered by: Emma Shroades
It is called a reflection.