Translations Rotations Reflections
Translations Rotations Reflections - Related Videos
13:59
Reflection and Refraction
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2023
Source: Derek Wilson, Asantha Cooray, PhD, Department of Physics & Astronomy, School of Physical Sciences, University of California, Irvine, CA Light travels at different speeds depending on the material through which it is propagating. When light travels from one material to another, it will either slow down or speed up. In order to conserve energy and momentum, the light must change the direction in which it propagates. This bending of light is known as refraction. Some fraction of the...
08:45
A Novel and Translational Rat Model of Concussion Combining Force and Rotation with In Vivo Cerebral Microdialysis
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Cited by 8 •
2019
Neurotransmitter alteration is a mechanism of neural dysfunction that occurs after concussion and contributes to the sometimes-catastrophic long-term consequences. This rat model combines microdialysis, allowing in vivo neurotransmitter quantification, with a weight-drop technique exerting rapid acceleration and deceleration of the head and torso, an important factor of human craniocerebral trauma.
05:56
Mental Rotation
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2023
Source: Laboratory of Jonathan Flombaum—Johns Hopkins University Visual mental imagery refers to the ability to conjure images in one’s mind’s eye. This allows people to process visual material above and beyond the constraints of a current point-of-view; for example, a person could imagine, using their mind’s eye, how something might look in a different color, or what it would look like if it were made from a different material or rotated and seen from a different perspective. Mental imagery...
02:33
Initiation of Translation
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2020
Initiating translation is complex because it involves multiple molecules. Initiator tRNA, ribosomal subunits, and eukaryotic initiation factors (eIFs) are all required to assemble on the initiation codon of mRNA. This process consists of several steps that are mediated by different eIFs. First, the initiator tRNA must be selected from the pool of elongator tRNAs by eukaryotic initiation factor 2 (eIF2). The initiator tRNA (Met-tRNAi) has conserved sequence elements including modified bases at...
01:44
Termination of Translation
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2020
The large ribosomal subunit has several important structures essential to translation. These include the peptidyl transferase center (PTC) - which is the site where the peptide bond is formed - and a large, internal, water-filled tube through which the nascent polypeptide moves. This latter structure is called the Peptide Exit Tunnel, and it begins at the PTC and spans the body of the large ribosomal subunit. During translation, as the nascent polypeptide chain is synthesized, it passes through...
FAQs
Each transformation preserves the essential measurements that determine a figure’s geometric identity: size, shape, distances, and angles. Because these properties remain unchanged, the original figure and its transformed image are congruent even though their positions or orientations may differ. This makes the transformations useful for comparing figures and analyzing whether two geometric arrangements represent the same structure.
A translation changes a figure’s location by shifting all points equally, while a rotation changes orientation by turning points around a fixed center. A reflection reverses the figure across a line of symmetry. These distinct motions help distinguish ordinary displacement from turning and flipping when analyzing spatial relationships or describing how one figure corresponds to another.
A reflection uses a line of symmetry as the reference for flipping a figure, so corresponding points are positioned in a balanced relationship across that line. Rotations and translations can also reveal repeated or organized structure, although they use a center or direction rather than a symmetry line. Examining these relationships helps identify regularity within figures and spatial arrangements.
Begin by identifying the figure’s original position, orientation, and relevant reference feature, such as a direction, center, or symmetry line. Then determine which transformation best describes the observed change: equal displacement, turning about a center, or flipping across a line. Finally, compare distances, angles, size, and shape to verify that the transformation preserves the expected properties.
They provide a systematic way to describe how figures relate without changing their essential measurements. In coordinate geometry, the transformations organize spatial relationships by specifying how a figure’s position or orientation changes. In congruence problems, preserving size, shape, distances, and angles supplies the basis for recognizing when two figures are equivalent despite appearing in different locations or orientations.
These transformations support practical descriptions of motion, structure, and visual arrangement. Computer graphics and design use them to reposition or reorient figures, while robotics relies on them to describe spatial movement. Crystallography uses transformation-based relationships to analyze organized structure. Together, these applications show how geometric ideas connect mathematical reasoning with modeled physical and designed systems.