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Raquel is the best, she is so beautiful , she is so nice to people and she is a very good Basketball player. i would love to meet or be Raquel one day
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What is the composition of two isometries?
Preservation of Length
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
Is reflection always an isometry?
No. While it is true for reflection in a straight line, it is not true for other reflections.
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.
Explain why a glide reflection is an isometry?
Because the glide reflection is a combination of two isometries, it is also an isometry.
Is a composition of any two isometries always is an isometry?
Yes, that is correct.
What is isometries rigid transformations?
I think "isometries" and "rigid transformation" are two different names for the same thing. Look for "isometry" on wikipedia.
What is the composition of two isometries?
Preservation of Length
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.
Which type of isometry is the equivalent of two reflections across intersecting lines?
Rotation
How did Luigi Bianchi shape geometry?
In 1898, Bianchi worked out the Bianchi classification of nine possible isometry classes of three-dimensional Lie groups of isometries of a (sufficiently symmetric) Riemannian manifold. Bianchi knew this is essentially the same thing as classifying, up to isomorphism, the three-dimensional real Lie algebras.
A preimage and an image are congruent in an isometry?
Yes. Being congruent is part of the definition of an isometry.
What is theorem 5.12?
Theorem 5.12- A rotation is a composition of two reflections, and hence is an invertible 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.
