Angel Lanna Laine M. Burgos 9-Neon GEOMETRIC TRANSFORMATION CATEGORIES OF TRANSFORMATIONS 01 Rigid Transformation Are transformations that do not change the shape or size of the preimage. 02 Non-Rigid Transformation Are transformations that change the size but not the shape of the preimage. DIFFERENT TYPES 01 Translation Moving an object in space without changing its size, shape or orientation. 03 Glide Reflection 02 Reflection Flipping an object across a line without changing its size or shape. 04 Rotation 05 Dilation Translation of an object along Rotating an object about a Expanding or contracting an a line then reflecting the fixed point without changing object without changing its its size or shape. shape or orientation. translated object along a line without changing its size or shape. 01 TRANSLATION In the game, pac-man’s goal is to eat all the peas without getting killed by the ghosts. In this example we can see pacman in the box. This is the preimage. When the game starts, pac-man begins moving and translates his position into the new image. REFLECTION The picture shown on the right is a good example of a reflection transformation. The preimage buildings are being reflected by the water and creates this picturesque scene. Mars Despite being red, Mars is actually a cold place Neptune GLIDE REFLECTIONS The footprints on the sand can be an example of glide reflections because as shows, pre-image footprint 1 is translated along the red line, then reflected on it forming footprint 2 as the image. 2 1 ROTATIONS In the photo, the part of the wheel with the number 1 on it symbolizes the pre-image. Assuming that the center of the wheel is the fixed point of the rotation, the pink shaded part of the wheel is the image when the pre-image is rotated. 1 05 Did you know when we are in conditions of low light, our eyes automatically dilate in order to allow more light to reach the retina? In the picture below, the pupil of the eye is a good example of dilation where the object changes its size but not its position or shape. PRACTICAL EXERCISE The idea was to use one shape to form the pieces of the clock. I used the rotations, reflections, translations and dilations to create the clock. At first I made the circle outline. Then, I made the pre-image oval to represent the 12th hour. I then dilated it to represent the in-betweens of every digit. I then rotated the dilated image by 15º. Then I rotated both the hour and the dilated image through half the clock. Then I reflected it to make the other half of the clock. I then created the hour hand and dilated it and translated the image to form the minute hand. The center in between the two hands was then crated so that the distinction can be seen. THANKS Resources: ● https://ilovemanchester.com/pac-man-inspiredmaze-manchester ● https://sunnemath.files.wordpress.com/2012/10/ reflectionsym22.png ● https://www.pbslearningmedia.org/resource/mu en-math-g-rotation/rotation/ ● https://www.scienceabc.com/wpcontent/uploads/2017/02/Pupil-dilation.jpg ● https://www.walmart.com/ip/Great-BIG-CanvasCREDITS: This presentation template was created Footprints-In-The-Sand-Poster-Print/145840829 by Slidesgo, including icons by Flaticon, and infographics & images by Freepik.