Notice: Payments for answers will end 4/10/2017. Click for more info.
You have new items in your feed. Click to view.
Question and answer
Q: 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.
A: 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.
25,774,249 questions answered
Popular Conversations
The evolution of agricultural practices ultimately led to the ...
Weegy: The evolution of agricultural practices ultimately led to the development of towns and cities.
6/23/2017 10:56:18 AM| 1 Answers
Dinosaurs became extinct due to the A. breakup of Pangaea. ...
Weegy: Dinosaurs became extinct due to the: Cretaceous extinction event. User: Which type of preservation is made ...
6/27/2017 10:01:19 AM| 1 Answers
A batholith is a mass of rock that forms when a large body of magma ...
Weegy: A batholith is a mass of rock that forms when a large body of magma cools inside the crust. TRUE.
6/25/2017 1:54:48 AM| 0 Answers
Earth’s lithosphere is composed of a. the crust only. b. the mantle ...
Weegy: The LITHOSPHERE is the part of the Earth composed of the crust and upper mantle.
6/25/2017 1:50:09 AM| 0 Answers
Radioactive isotopes are used to a. determine the absolute age of ...
Weegy: Radioactive isotopes are used to determine the absolute age of rocks.
6/25/2017 1:43:13 AM| 0 Answers
Magma that hardens vertically underneath the surface will form a ...
Weegy: Magma that hardens vertically underneath the surface will form a sill. FALSE.
6/25/2017 1:22:58 AM| 0 Answers
The ADA states that a service animal can be any animal that the ...
Weegy: The ADA states that a service animal can be any animal that the passenger deems a service animal and must be ...
6/25/2017 12:55:37 AM| 0 Answers
Waves that cause the most damage during an earthquake are waves.
Weegy: Waves that cause the most damage during an earthquake are surface waves.
6/25/2017 12:53:18 AM| 0 Answers
Which of the following would be considered a negative side effect of ...
Weegy: Threats of dangerous flooding would be considered a negative side effect of settling near a river bed.
6/23/2017 11:35:22 AM| 0 Answers
Most scientists and anthropologists agree that early humans first ...
Weegy: Most scientists and anthropologists agree that early humans first emerged in AFRICA.
6/23/2017 10:53:42 AM| 0 Answers
A paragraph that has its topic sentence first is _____. a rectangle ...
Weegy: A paragraph that has its topic sentence first is an inverted triangle.
6/23/2017 10:25:31 AM| 0 Answers
Weegy Stuff
S
L
Points 40 [Total 1371] Ratings 0 Comments 0 Invitations 4 Offline
S
Points 17 [Total 17] Ratings 0 Comments 7 Invitations 1 Offline
S
Points 14 [Total 14] Ratings 1 Comments 4 Invitations 0 Offline
S
Points 10 [Total 10] Ratings 0 Comments 0 Invitations 1 Offline
S
Points 10 [Total 10] Ratings 1 Comments 0 Invitations 0 Offline
S
Points 4 [Total 4] Ratings 0 Comments 4 Invitations 0 Online
S
R
Points 3 [Total 19] Ratings 0 Comments 3 Invitations 0 Offline
S
Points 3 [Total 3] Ratings 0 Comments 3 Invitations 0 Offline
S
Points 2 [Total 2] Ratings 0 Comments 2 Invitations 0 Offline
S
Points 2 [Total 72] Ratings 0 Comments 2 Invitations 0 Offline
* Excludes moderators and previous
winners (Include)
Home | Contact | Blog | About | Terms | Privacy | © Purple Inc.