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Yes, a rotation is an isometry.
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Is a rotation a isometry?
Not always
Which type of isometry is the equivalent of two reflections across intersecting lines?
Rotation
What is theorem 5.12?
Theorem 5.12- A rotation is a composition of two reflections, and hence is an invertible isometry.
Is a translation an Isometry?
Yes, translation is part of isometry.
What is an isometry?
A isometry is a transformation where distance (aka size) is preserved. In a dilation, the size is being altered, so no, it is not an isometry.
A preimage and an image are congruent in an isometry?
Yes. Being congruent is part of the definition of an isometry.
Explain why a glide reflection is an isometry?
Because the glide reflection is a combination of two isometries, it is also an isometry.
What is Isometry?
An isometry is a transformation in which the original figure and its image are congruent. Shape remains constant as size increases.
An isometry can be illustrated with a graphing calculator. Which function rule matches the isometry?
(x,y) (-x,-y)
Which transformation is not an isometry?
Dilation.
An isometry is a transformation that preserves?
no
An isometry that does not change orientation?
a transformation
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