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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 definition of glide reflection?

A composite transformation which is a translation followed by a reflection in line parallel to the direction of translation


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 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.


The merging of two transformations is called a?

The merging of two transformations is called composition. This involves applying one transformation followed by the other to achieve a single combined transformation.


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 sequence of transformation produces an image that is not congruent to the original figure?

A translation of 4 units to the right followed by a dilation of a factor of 2