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Is line reflection a direct isometry?
if there is an even number of line reflections then yes. if there is n odd number of line reflections, then no.
Is reflection always an isometry?
No. While it is true for reflection in a straight line, it is not true for other reflections.
Is a rotation a isometry?
Not always
Is reflecting a congruence transformation?
YES ---- Explanation: An isometry is a distance-preserving mapping. . Geometric figures which can be related by an isometry are called congruent. Reflection preserves distance so it is an isometry. It reverses orientation so it is called an indirect orientationl
What term describes a transformation that does not change a figure's size or shape?
The term that describes a transformation that does not change a figure's size or shape is "isometry." Isometric transformations include translations, rotations, and reflections, which maintain the original dimensions and angles of the figure. As a result, the pre-image and image of the transformation are congruent.
Which type of isometry is the equivalent of two reflections across intersecting lines?
Rotation
Is line reflection a direct isometry?
if there is an even number of line reflections then yes. if there is n odd number of line reflections, then no.
What is theorem 5.12?
Theorem 5.12- A rotation is a composition of two reflections, and hence is an invertible isometry.
Is reflection always an isometry?
No. While it is true for reflection in a straight line, it is not true for other reflections.
Is a rotation an isometry?
Yes, a rotation is an 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.
What is Isometry?
An isometry is a transformation in which the original figure and its image are congruent. Shape remains constant as size increases.
Explain why a glide reflection is an isometry?
Because the glide reflection is a combination of two isometries, it is also an isometry.
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.
