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What rotates or flips a figure over a line to a new position?
a transformation.
What is a type of transformation where an original figure is flipped over a line onto its image?
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.
What is the result of figure being flipped over a line?
When a figure is flipped over a line, it undergoes a transformation known as reflection. The result is a mirror image of the original figure, where each point on the figure is mapped to a corresponding point on the opposite side of the line at an equal distance. This transformation preserves the shape and size of the figure but reverses its orientation. For example, if the original figure is oriented to the right, the reflected figure will be oriented to the left.
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.
What single transformation is equivalent to a reflection in the line yx followed by a reflection in the line y-x?
The single transformation equivalent to a reflection in the line ( y = x ) followed by a reflection in the line ( y = -x ) is a rotation of 180 degrees about the origin. This is because reflecting over these two lines effectively flips the coordinates of a point, resulting in a point that is diametrically opposite to the original with respect to the origin.
What is a transformation that flips a figure over a line?
A reflection.
What rotates or flips a figure over a line to a new position?
a transformation.
What is a type of transformation where an original figure is flipped over a line onto its image?
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.
What is the result of figure being flipped over a line?
When a figure is flipped over a line, it undergoes a transformation known as reflection. The result is a mirror image of the original figure, where each point on the figure is mapped to a corresponding point on the opposite side of the line at an equal distance. This transformation preserves the shape and size of the figure but reverses its orientation. For example, if the original figure is oriented to the right, the reflected figure will be oriented to the left.
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.
What is axial reflection?
Axial reflection is a type of transformation in geometry where a figure is reflected over an axis. The axis of reflection is a line that remains fixed while the rest of the figure is mirrored across it. This transformation preserves the size and shape of the figure.
What single transformation is equivalent to a reflection in the line yx followed by a reflection in the line y-x?
The single transformation equivalent to a reflection in the line ( y = x ) followed by a reflection in the line ( y = -x ) is a rotation of 180 degrees about the origin. This is because reflecting over these two lines effectively flips the coordinates of a point, resulting in a point that is diametrically opposite to the original with respect to the origin.
To flip a figure over a line?
To flip a figure over a line is a reflection.
When a line is reflected over the Y Axis the result is?
When a line is reflected over the Y-axis, the x-coordinates of all points on the line change sign, while the y-coordinates remain the same. For example, a point (x, y) would become (-x, y) after reflection. This transformation effectively flips the line horizontally, maintaining its slope but altering its position in the Cartesian plane.
Is a reflection and glide the same thing?
No, a reflection and a glide are not the same thing. A reflection is a transformation that flips a shape over a line, creating a mirror image. In contrast, a glide involves two transformations: a reflection over a line and a translation along that line. Thus, while both involve flipping, a glide also includes a movement, making them distinct concepts in geometry.
What transformation occurs when a shape is flipped over a line?
reflection
What transformation is the same as rotating a figure 90 counterclockwise?
Rotating a figure 90 degrees counterclockwise is equivalent to reflecting the figure over the line ( y = x ) and then reflecting it over the x-axis. This combination of reflections results in the same final position as a 90-degree counterclockwise rotation. Both transformations effectively reposition the figure in the same orientation.
