Which property of a rigid transformation is exclusive to rotations? The measures of the angles and sides in the preimage are preserved. A line segment connecting the image to the preimage forms a
90° angle with the center of rotation. The distance from each point on the image to the center of rotation is preserved. All the points on the image move along a parallel line when the preimage is transformed.
Answer: A rigid transformation is a geometrical term for the pre-image and the image both having the exact same size and shape. n mathematics, [ a rigid transformation (isometry) of a vector space preserves distances between every pair of points.[1] [2] Rigid transformations of the plane R2, space R3, or real n-dimensional space Rn are termed a Euclidean transformation because they form the
basis of Euclidean geometry.[3] The Rigid transformations include rotations, translations, reflections, or their combination. Sometimes reflections are excluded from the definition of a rigid transformation by imposing that the transformation also preserve the handedness of figures in the Euclidean space (a reflection would not preserve handedness; for instance, it would transform a left hand into a right hand). To avoid ambiguity, this smaller class of transformations is known as proper rigid transformations (informally, also known as roto-translations). In general, any proper rigid transformation can be decomposed as a rotation followed by a translation, while any rigid transformation can be decomposed as an improper rotation followed by a translation (or as a sequence of reflections). Any object will keep the same shape and size after a proper rigid transformation, but not after an improper one. All rigid transformations are affine transformations. Rigid transformations which involve a translation are not linear transformations. Not all transformations are rigid transformations. An example is a shear, which changes two axes in different ways, or a similarity transformation, which preserves angles but not lengths. The set of all (proper and improper) rigid transformations is a group called the Euclidean group, denoted E(n) for n-dimensional Euclidean spaces). The set of proper rigid transformation is called special Euclidean group, denoted SE(n). In mechanics, proper rigid transformations in a 3-dimensional Euclidean space, denoted SE(3), are used to represent the linear and angular displacement of rigid bodies. From Wikipedia, the free encyclopedia ]
Question
Rating

Popular Conversations
Which side of this debate do you support? Is it possible to strike an ...
Weegy: Personally I support that there should be laws on piracy protection.. Intellectual property is defined as being ...
Weegy: x = 2 if the function h(x) = 5 and h(x) = 2x + 1. User: Find f(6) if f(x) = x 2 ÷ 3 + x. 4 10 18 Weegy: ...
Which of the following sums would be under the radical symbol to find ...
Weegy: Where are the sums? User: What is the center of the circle that has a diameter whose endpoints are (-3, -5) ...
Find the midpoint of the line segment whose endpoints are (7, 5) and ...
Weegy: The midpoint of the line segment whose endpoints are (2.6, 5.1) and (3, 4.7) is (2.8, 4.9) User: What is ...
The distance formula can be derived from the Pythagorean ...
Weegy: The Pythagorean Theorem is one of the oldest, most well-known, and widely used mathematical relationship in ...
Unified Command:
Weegy: UNIFIED COMMAND enables all agencies with responsibility to manage an incident together by establishing a common ...
Why do you think some teachers are better loved by students than ...
Weegy: I can totally relate to you because i have teachers who are my favorite and i treat her as my mom. [ Every time ...
Which of the following equations has no solution? 3x + 1 = 2x + ...
Weegy: 4/5x - 3 3/4 = 2 1/2 4/5x = 2 1/2 + 3 3/4 4/5x = 5/2 + 15/4 4/5x = 10/4 + 15/4 4/5x = 25/4 x = (25/4) / ...
The most widely used index for magazine articles is? the Periodical ...
Weegy: The most widely used index for magazine articles is Guide to Periodical Literature
Which of the following is a true statement regarding Soviet ...
Weegy: Communist party members made up a privileged group. This is a true statement regarding Soviet society. User: ...
Then felt I like some watcher of the skies When a new planet swims ...
Weegy: Ah, this is the real turn of the poem. 'Member when we said that this poem was a sonnet? Well, more ...
Select the product of (9x + 1)(9x - 1)
Weegy: (9x + 2)(9x - 2) = 81x^2 - 4 User: Select the product of (8x + 7)(x2 - 6x + 4).
Weegy Stuff
S
R
L
1
1
P
C
1
P
1
1
L
P
C
P
C
1
P
C
L
P
C
1
P
C
Points 1883 [Total 20883]| Ratings 1| Comments 1873| Invitations 0|Online
S
L
P
C
P
C
1
L
P
C
L
P
C
P
C
P
C
Points 1880 [Total 17009]| Ratings 0| Comments 1880| Invitations 0|Offline
S
L
P
C
L
P
C
P
C
L
P
C
P
C
Points 1533 [Total 14088]| Ratings 1| Comments 1523| Invitations 0|Offline
S
L
1
Points 1403 [Total 3586]| Ratings 2| Comments 1383| Invitations 0|Offline
S
L
1
1
1
1
L
1
Points 1094 [Total 7271]| Ratings 2| Comments 1074| Invitations 0|Offline
S
1
L
Points 907 [Total 3043]| Ratings 5| Comments 857| Invitations 0|Online
S
1
L
1
L
P
P
L
Points 842 [Total 10450]| Ratings 0| Comments 842| Invitations 0|Offline
S
1
L
Points 746 [Total 4422]| Ratings 2| Comments 726| Invitations 0|Online
S
P
C
L
P
L
1
Points 700 [Total 5754]| Ratings 4| Comments 660| Invitations 0|Offline
S
Points 258 [Total 406]| Ratings 2| Comments 238| Invitations 0|Offline
Home | Contact | Archive | Blog | About | Terms | Privacy | Social | ©2014 Purple Inc.