Transformations By:Kseniya Poberezhnaya & Kyra Reed

For this project, we have decided to use 14 images to demonstrate translations, rotations, and reflections. The photos you see below will be the 6 we found on the internet, followed by the 6 we took ourselves.

Reflection: It is basically a 'flip' of a shape over the line of reflection.

In my photo there are flamingo's that are eating something underwater and the water isn't moving to much so that causes are perfect reflection. -Kseniya
This is my first photo found on the internet... This image represents both a reflection and symmetry. If you were to fold the image in half horizontally, it would be as if the reflection wasn't even there. Of course, this is true with all reflections, but I felt it was very easy to see with this one. -Kyra

Dilations: A dilation stretches or shrinks the original figure. • A description of a dilation includes the scale factor (or ratio)

These 2 pictures represent diolations-Kseniya
This a Min Pin with a Doberman Pincer they are a dilation of each other, but also a transformation of each other. It's either a transformation left or right.

Rotation: Is rotating a figure about a point

This is the second image I found online. The yellow flower-like part of the playground demonstrates rotation. Using a protractor, I found that the angle of rotation is 60° all the way around, using the red hexagon in the center for a center of rotation. -Kyra

Translation: is a term used in geometry to describe a function that moves an object a certain distance. The object is not altered in any other way. It is not rotated, reflected or re-sized

Here is my final image found on the internet, the Colosseum in Rome. Each individual "window" is evenly spaced and evenly sized, making the entire building filled with translations. -Kyra
So that was it for the images we found online, and here are the images we took ourselves.
In my mandala there is a 180° turn clock wise, and it also has 4 lines of Symmatry. Also it has translations like : (0,-1) , (1,0), (1,1) just to name a few.-Kseniya
This is a cat eye I drew in my sketchbook. There is a reflection in the image. If you were to fold the eye over horizontally, it would be as if the top half of the image disappeared. -Kyra
In these picture's my mom was hanging a peice of art she found. When she was hanging the painting she tried 2 different spots, and when she was was changing spots she did a translation to the left and up.-Kseniya
The acropolis in Athens is a historic site, and this building holds the same character as it did, many years ago. The Greek have many extremely beautiful buildings, and this is one of them. The tall arches are like the Roman cathedral, they repeat consistently to both hold up the building, and let in light, creating a translation. -Kyra
In this picture I was having fun with pattern blocks and made this pattern. It also contains Reflections, Lines of Symmetry, and rotations.-Kseniya
Though it may be hard to see, the curtain behind the door is a tessellation. The pattern, repeats in both a downward and sideways fashion, as beside every dark square, there is a lighter one with a pattern and beside that, another dark square. -Kyra

That concludes our presentation, with a total of 14 photos, 7 our own, and 7 found online.

Thank you for watching.

Credits:

Created with images by ___rei - "02/24/14 | 200/365 | taking a shower"

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