Question and answer
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 ]
Expert answered|marissa-sarol|Points 81|
Question
Asked 6/19/2013 9:47:44 AM
0 Answers/Comments
Get an answer
New answers
Rating

There are no new answers.

Comments

There are no comments.

Add an answer or comment
Log in or sign up first.
18,785,250 questions answered
Popular Conversations
Write the quadratic equation in general form. What is the value of b ...
Weegy: 8x + 3 = 7x - 2 8x - 7x = -2 - 3 x = -5 User: If (x + 1)(x - 3) = 5, then which of the following statements ...
12/18/2014 12:37:17 PM| 4 Answers
Which ordered pairs is the solution for the given system. x + 3y = ...
Weegy: A. (-1, 3) User: Solve the system, using substitution. 4x + y = 4 and y = 4 - 4x A. no ...
12/18/2014 11:09:21 AM| 3 Answers
Evaluate 0! + 1!.
Weegy: A number can not be divided by zero. The answer to 8/0 is undefined. User: Evaluate. 5!/5!2! Weegy: ...
12/18/2014 12:21:23 PM| 3 Answers
Which of the following does not provide evidence that continents ...
Weegy: B. The existence of glacial grooves does not provide evidence that continents move. User: The most ...
12/18/2014 12:29:01 PM| 3 Answers
Robert E. Lee
Weegy: Robert E. Lee was an American career military officer who is best known for having commanded the Confederate ...
12/18/2014 6:07:56 AM| 2 Answers
Stress is __________. A. positive or negative, depending on ...
Weegy: Stress is the body's automatic physical reaction to real or imagined forces. User: High blood pressure is a ...
12/18/2014 7:37:36 AM| 2 Answers
Which personal pronoun best completes the sentence? How is it used? ...
Weegy: The correct pronoun is: Us; predicate nominative. At first they wouldn't admit to the deed, but later they said, ...
12/18/2014 8:01:31 AM| 2 Answers
Find x if f(x) = 2x + 7 and f(x) = -1. -4 -3 5
Weegy: Substituting the x in the equation for -1 turns it into 2(-1) + 7, which equals -2 + 7 = 5. The answer is c. 5. ...
12/18/2014 9:14:15 AM| 2 Answers
Weegy Stuff
S
L
P
Points 1071 [Total 4915]| Ratings 0| Comments 1071| Invitations 0|Offline
S
L
Points 663 [Total 1354]| Ratings 1| Comments 653| Invitations 0|Offline
S
1
L
1
L
P
P
L
P
Points 641 [Total 14826]| Ratings 0| Comments 641| Invitations 0|Offline
S
Points 634 [Total 634]| Ratings 1| Comments 624| Invitations 0|Offline
S
P
C
L
P
L
1
Points 88 [Total 6407]| Ratings 1| Comments 78| Invitations 0|Offline
S
L
Points 64 [Total 1524]| Ratings 1| Comments 54| Invitations 0|Offline
S
1
L
L
Points 33 [Total 6700]| Ratings 0| Comments 33| Invitations 0|Offline
S
Points 30 [Total 30]| Ratings 0| Comments 0| Invitations 3|Offline
S
Points 23 [Total 29]| Ratings 0| Comments 23| Invitations 0|Offline
S
Points 22 [Total 22]| Ratings 0| Comments 2| Invitations 2|Offline
Home | Contact | Blog | About | Terms | Privacy | Social | ©2014 Purple Inc.