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Is a composition of rotation followed by a glide reflection a congruence transformation?
Wiki User
∙ 7y ago
Yes, it is.
Wiki User
∙ 7y ago
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What transformation gives the same result as a rotation of 180 around the origin followed by a reflection over the x axis?
Reflection in the y-axis.
Translation followed by a reflection in a line parallel to the translation vector?
Glide reflection
Could a reflection followed by a rotation be described as a single rotation?
No. It would be a diagonal.
What is the rule for a reflection across the y-axis followed by a translation 1 unit to the right and 4 units up?
(x' , y') = (-x + 1 , y + 4)
What are the symmetries of a cube?
From the perspective of a symmetry group, a cube has 48 symmetries total. They include:24 rotational symmetries: the identity6 90° rotations about axes through the centers of opposite faces3 180° rotations about the same axes8 120° rotations about the space diagonals connecting opposite vertices6 180° rotations about axes through the centers of opposite edges24 reflection symmetries that involve one of the above rotations, followed (or, equivalently) preceded by the same reflection
What single transformation is equivalant to a reflection in the y axis followed by a reflection in the x axis followed by another reflection in the y axis?
reflection in the x-axis
What is the composition of a translation and a reflection across a line parallel to the direction of translation?
When a translation is followed by a reflection across a line parallel to the direction of translation, the resulting transformation is a glide reflection. This transformation involves moving the shape in a specified direction (translation) and then flipping it over (reflection) across a parallel line. The combination results in the shape being both translated and reflected.
What is the definition of glide reflection?
A composite transformation which is a translation followed by a reflection in line parallel to the direction of translation
What transformation gives the same result as a rotation of 180 around the origin followed by a reflection over the x axis?
Reflection in the y-axis.
What is an affine transformation?
An affine transformation is a linear transformation between vector spaces, followed by a translation.
Translation followed by a reflection in a line parallel to the translation vector?
Glide reflection
The clock shows a rotation of 90°, followed by a rotation of 6°. This transformation could be replaced by which single transformation?
rotation
Could a reflection followed by a rotation be described as a single rotation?
No. It would be a diagonal.
A reflection in the line y equals x followed by a rotation of 90 degrees about the origin is equivalent to what single transformation?
For a rotation, other than of 180 degrees, it is necessary to specify whether it is clockwise or anticlockwise. Since you have not bothered to share that crucial bit of information, I cannot provide a more useful answer.
How do you determine the coordinates of a point after a reflection in the x-axis?
The points after reflection will follow points equal but different direction, to the path followed before the reflection. So, if the line would cover 3.5 on the x and 5 on the y; it will reflect symmetrically giving you the formula to get your answer.
Which diagram shows a composition of transformations that is a rotation around point P, followed by a translation by a given vector?
answer
Which diagram shows a composition of transformations that is a translation by a given vector, followed by a rotation around point P?
answer
