Reflection Transformation
Reflection Transformation - 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...
10:50
Single Phase Transformers
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2023
Source: Ali Bazzi, Department of Electrical Engineering, University of Connecticut, Storrs, CT. Transformers are stationary electric machines that step up or down AC voltage. They are typically formed of primary and secondary coils or windings, where the voltage on the primary is stepped up or down at the secondary, or the other way around. When a voltage is applied to one of the windings and current flows in that winding, flux is induced in the magnetic core, coupling both windings. With an AC...
04:33
Bacterial Transformation - Concepts
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2019
Background In early 20th century, pneumonia was accountable for a large portion of infectious disease deaths1. In order to develop an effective vaccine against pneumonia, Frederick Griffith set out to study two different strains of the Streptococcus pneumoniae: a non-virulent strain with a rough appearance (R-strain) and a virulent strain with a smooth appearance (S-strain) due to an outer polysaccharide capsule2. This outer layer of the S-strain bacteria enabled them to withstand the host...
05:21
Bacterial Transformation - Student Protocol
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2019
Bacterial Transformation ExpandIMPORTANT: In addition to wearing the appropriate personal protective equipment, be sure to take care to keep your face away from suspension cultures, and to avoid inhaling reagents. Do not touch your face while performing the experiment. Always wash your hands before and after every experiment. When you are ready to safely begin, check to make sure you have a tube or tubes of competent E. coli cells in your ice bucket. Then, transfer 50 µL from one of these tubes...
12:19
Bacterial Transformation: Electroporation
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2023
The term “transformation” refers cellular ingestion of foreign DNA. In nature, transformation can occur in certain types of bacteria. In molecular biology, however, transformation is artificially induced through the creation of pores in the bacterial cell walls. Bacterial cells that are able to take up DNA from the environment are called competent cells. Electrocompetent cells can be produced in the laboratory and transformation of these cells can be achieve via the application of an...
FAQs
A reflection across the x-axis keeps the horizontal coordinate unchanged and reverses the sign of the vertical coordinate, mapping (x, y) to (x, -y). Reflection across the y-axis reverses the horizontal coordinate while preserving the vertical one, mapping (x, y) to (-x, y). These rules provide an efficient way to transform coordinate figures.
A reflection transformation preserves lengths, angle measures, and overall shape, so the original and image figures are congruent. It does not preserve orientation: clockwise order becomes counterclockwise order, or vice versa. This combination of preserved measurements and reversed orientation distinguishes reflection from transformations that maintain handedness while still allowing geometric comparison.
The line of reflection controls every image location. For each original point, the segment joining it to its image meets the reflection line at a right angle, and that line divides the segment into two equal parts. Consequently, points on the reflection line remain fixed, while points farther away appear at matching perpendicular distances on the opposite side.
First, identify the specified reflection line and mark each important vertex of the original figure. From every vertex, draw or imagine a perpendicular path to that line, then place the image point the same distance beyond the line. Finally, connect corresponding image points in their original sequence. The resulting figure preserves the original side lengths and angle measures.
Reflection transformation is useful when a figure appears to have matching parts on opposite sides of a line. Reflecting one part across that line tests whether corresponding points align and whether the line acts as an axis of symmetry. The same process can construct a congruent copy of a figure without changing its distances or angle measures.
In coordinate geometry, reflections describe how a figure or point changes position relative to a reference line, including the coordinate axes. In geometry, they help represent rigid motions and compare original and image figures. In applied mathematics, repeated reflected forms can also help model visual patterns whose structure depends on mirror-like arrangement.