## TransformationsBy Morgan Eastwood, And Matthew Cutten

In this presentation, we will be talking about translations, reflections, dilations, and rotations. We hope you realize how often these transformations occur in the real world.

This is an example of a dilation. In the first picture, the coffee crisp is the normal size but when you dilate it by 0.5 it gets smaller by half as you can see in the second picture . A dilation is where it is doubled or more and can be half it or more. (higher or lower).
This photo demonstrates 4 different real life rotations. The first rotation, is the rotation of the far ankle. The batter rotates his or her ankle to generate power through the legs. The second rotation is the rotation of the hips. The batter will rotate their hips to square their body up to where they want the ball to go. This rotation of the hips also generates power. The third rotation, is the rotation of the wrists. The batter rotates their wrists to bring the bat around in flat swing. Without the rotation of the wrists, The bat would be unsteady, and could direct the ball to the wrong place. The fourth and final rotation is the rotation of the ball. When the ball is hit, it rotates in the air, as soon as it comes off the bat. This rotation of the ball depends on the rotation of the ankle, hips, and wrists. There are many different examples of rotations in this sport and other sports.
This is another example of a transformation in baseball. This in particular, is a slide. As you can see in the photo, the baseball player is sliding into a base. This action is performed by not only baseball players, but swimmers, soccer players, and luge.
This an example of a flip. This represents a real life movement because this action is performed daily by many citizens who explore extreme boundaries. In this photo, the man is flipping "around" the moon which is clearly just a creative illusion produced by the photographer. But if we look at the moon as the origin on a co-ordinate grid, this man could also be rotating around the origin like a shape.
This is an example of a flip. This demonstrate a flip because in the first picture the snowboard is getting ready to do a back flip. In the second picture he is starting to rotate to do the flip, But in the third picture the momentum of the rotation starts to die down and not go as fast so he back flops. He starts straight up, then much like a flip on a quadrant grid, he flips into an entirely new position.
This an example of slide. For instance we take the red and the yellow and we drop them from the top, it later slides down to the very bottom of the game board. This is a demonstration of a slide, A slide like this is used in checkers, chess, connect four, and any board game that consists on moving a peace.
This is an example of symmetry and reflection in nature, and all around you. These are water reflections. The line of symmetry is where the water meets the land. These water reflections create a perfect line of symmetry. This occurs all over the world, in ponds, river, and even pools.
This is an example of a rotation. It is a rotation because the lock rotates around, to get the correct passcode of the lock. A rotation is formed when you physically spin the lock to form the proper code which unlocks the lock.
This is an example of a reflection. In the picture it represents a reflection because the sticks on the back are a reflection on the sticks on the other side. The bench is completely symmetrical.
This is a slide. As you can see, matthew is walking up the stairs, he is demonstrating how when he makes such a movement, and goes from one place to another, it is equivalent to a slide on a cordinate grid.
This is an example of a dilation. In the first picture the recycling bin is not a normal size but when you double it you can see that it gets bigger and that it is a normal size now in the second picture. A dilation is where it is doubled or mote and half or more.
This is an example of a rotation. This is a rotation because when you put a key in the lock it has to rotate to unlock. A rotation is where something spins. the key would act as the line drawn from the point of origin to the cordinate
This is an example of a dilation. It represents a dilation because the first shoe is obviously bigger. But when you dilate it by half it gets way smaller as you can see in the second shoe. A dilation is where you double it more or or half it or more.
This is an example of a slide. In this photo, Morgan is throwing the ball toward me, and the ball is performing a slide movement. This action is performed in many sports, such as Baseball, Hockey, Soccer, Volleyball, and Basketball. If you have played any of these sports, you have performed this action.

This video is a great example of a real life rotation. We chose this video because it properly displays just how many time a rotation is performed, probably more than you would think.

### THANKS FOR WATCHING

Credits:

Created with images by Pexels - "abstract ball colorful" • pheezy - "Nestle Coffee Crisp" • miguelb - "Kids don’t like coffee crisp." • skeeze - "baseball player batter hitter" • JanFortyTwo - "Darwin Barney sliding" • Michaelmode - "flip jump gymnastics" • Ludovic_P - "_DSC3726" • Ludovic_P - "_DSC3727" • Ludovic_P - "_DSC3740" • rossandzane - "games friends activity" • james_nagarbaul - "sunset saskatoon landscape" • skeeze - "sunrise landscape scenic" • tpsdave - "lake irene colorado water" • Pexels - "abstract ball colorful"