Transformations - Rotations

What is the difference of rotating a figure 180 counterclockwise or clockwise?

We turn our papers when rotating because it will give us a better understanding or idea of where our rotated figure is going to be. This is predicting where the rotation will turn out because it is telling you how many degrees to go. A rotated figure does not change its size and its shape it only changes its location depending on how many degrees and if it is going clockwise or counterclockwise. Rotated figure is different from a reflected figure because the reflected figure either reflects over the x-axis or y-axis and rotation just rotates clockwise or counterclockwise. If you rotate and figure 90 degrees clockwise then 90 degrees counterclock wise one of the figures will be in quadrant two and another in quadrant three. If yo rotate a figure 360 degrees counterclockwise it will be back where it started. The difference between 180 degrees clockwise and counterclockwiseis that it is going to be on opposite location

"Transformations - Reflections"

When looking at the two figures, how do we know which one is the transformation?

Reflection is like an mirror image because it is the same figure and it has he same distances from each other the only the us that it is in a different location. The way you can reflect an image over the x-axis or the y-axis with out knowing the exact rule is that if you know that the figure is over the x-axis the y coordinate is changing and if the figure is over the y-axis the x coordinate will change. The original figure an its reflection has an exact equal distance from the line of symmetry its like looking in a mirror its the same figure but the distance stays the same. If we were given the points of the original figure and the image we could determined the line of symmetry because its going to be the exact same figure but in a different quadrant. The way you know which figure is the translation is because the original figure has nothing on it like the translational figure as "apostrophes".

"Transformations - Dilations"

The dilated figure does not change it's shape but it does change its size, and location. When you zoom into the photo the scale factor is greater than one. This zooming relates to dilation because if the scale factor is less than one the figure is smaller and if the scale factor is greater that one the figure is bigger.If a figure has a scale factor of 1.5 the figure gets bigger because its like add a whole and a half. If we have a figure with the scale factor of 0.5 you are dividing the number by 2. The difference between dilation and translation is that translation the shape only changes its location and dilation is that it changes it location, and its size. Multiplying by 1/3 the same as dividing by 3 because you need to just divided by three the same thing as 0.5 you need to divde it by 2.

"Transformations - Translations"

The way you know when a figure is the original and transformation is that the original figure has everything the same and the transformation figure has a little 'apostrophe'. For example, A,G,H is the original figure and A',G',H' is the transformation figure because it has apostrophes. The new points are called transformations. Different words you could use to describe translation are move, location, number of units. A translated figure with never change it's shape. It will only change its location. The way you translate a figure without a coordinate plane is by subtracting it by the number that's not the same and if the numbers are both not the same you would subtract both and if we get negative you need to get it's absolute value.