 ## CCSS.MATH.CONTENT.8.G.A.3

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## VIDEO: Geometry Applications: Transformations

### In this program we look at applications of transformations. We do this in the context of three real-world applications. In the first, we look at translations and rotations in the context of roller coaster rides. In the second example we look at translations in three-dimensional space in the context of cargo ships. In the third example, we look at the design of observatories to look at rotations, reflections, and symmetry. This video includes a video transcript: https://media4math.com/library/video-transcript-geometry-applications-transformations ## VIDEO: Geometry Applications: Transformations, Segment 1: Translations and Rotations.

### Roller coasters provide an ideal opportunity to explore translations and rotations. Displacement vectors are also introduced. This video includes a video transcript: https://media4math.com/library/video-transcript-geometry-applications-transformations-segment-1-translations-and-rotations This video includes a Promethean Flipchart: https://www.media4math.com/library/promethean-flipchart-geometry-applications-transformations-1 ## VIDEO: Geometry Applications: Transformations, Segment 2: 3D Translations.

### Cargo ships transport tons of merchandise from one country to another and accounts for most of the global economy. Loading and unloading these ships requires a great deal of organization and provides an ideal example of three-dimensional translations. This video includes a video transcript: https://media4math.com/library/video-transcript-geometry-applications-transformations-segment-2-3d-translations This video includes a Promethean Flipchart: https://www.media4math.com/library/promethean-flipchart-geometry-applications-transformations-2 ## VIDEO: Geometry Applications: Transformations, Segment 3: Rotations, Reflections, and Symmetry.

### The Gemini telescope in Hawaii is an example of architecture that moves. All observatories rotate in order to follow objects in the sky. This also provides an opportunity to explore rotations, reflections, and symmetry. This video includes a video transcript: https://media4math.com/library/video-transcript-geometry-applications-transformations-segment-3-rotations-reflections-and This video includes a Promethean Flipchart: https://www.media4math.com/library/promethean-flipchart-geometry-applications-transformations-3 ## MATH EXAMPLE: Transformations: Example 01

### Transformations: Example 1. In this example, the Letter "T" is translated. ## MATH EXAMPLE: Transformations: Example 02

### Transformations: Example 2. In this example, the Letter "T" is translated and rotated. ## MATH EXAMPLE: Transformations: Example 03

### Transformations: Example 3. In this example, the Letter "T" is translated and flipped. ## MATH EXAMPLE: Transformations: Example 04

### Transformations: Example 4. In this example, the Letter "T" is rotated. ## MATH EXAMPLE: Transformations: Example 05

### Transformations: Example 5. In this example, the Letter "T" is rotated and flipped. ## MATH EXAMPLE: Transformations: Example 06

### Transformations: Example 6. In this example, the Letter "T" is flipped. ## MATH EXAMPLE: Transformations: Example 07

### Transformations: Example 7. In this example, the Letter "T" is translated, rotated, and flipped. ## MATH EXAMPLE: Transformations: Example 08

### Transformations: Example 8. In this example, the Letter "O" is translated. ## MATH EXAMPLE: Transformations: Example 09

### Transformations: Example 9. In this example, the Letter "O" is translated and rotated. ## MATH EXAMPLE: Transformations: Example 10

### Transformations: Example 10. In this example, the Letter "O" is translated and flipped. ## MATH EXAMPLE: Transformations: Example 11

### Transformations: Example 11. In this example, the Letter "O" is rotated. ## MATH EXAMPLE: Transformations: Example 12

### Transformations: Example 12. In this example, the Letter "O" is rotated and flipped. ## MATH EXAMPLE: Transformations: Example 13

### Transformations: Example 13. In this example, the Letter "O" is flipped. ## MATH EXAMPLE: Transformations: Example 14

### Transformations: Example 14. In this example, the Letter "O" is translated, rotated, and flipped. ## MATH EXAMPLE: Transformations: Example 15

### Transformations: Example 15. In this example, the Letter "F" is translated. ## MATH EXAMPLE: Transformations: Example 16

### Transformations: Example 16. In this example, the Letter "F" is translated and rotated. ## MATH EXAMPLE: Transformations: Example 17

### Transformations: Example 17. In this example, the Letter "F" is translated and flipped. ## MATH EXAMPLE: Transformations: Example 18

### Transformations: Example 18. In this example, the Letter "F" is rotated. ## MATH EXAMPLE: Transformations: Example 19

### Transformations: Example 19. In this example, the Letter "F" is rotated and flipped. ## MATH EXAMPLE: Transformations: Example 20

### Transformations: Example 20. In this example, the Letter "F" is flipped. ## MATH EXAMPLE: Transformations: Example 21

### Transformations: Example 21. In this example, the Letter "F" is translated, rotated, and flipped. 