Rotations

We turn our papers when drawing rotations to help us get an idea of what the new figure will look like.This helps to predict where and how the rotation will turn out because if for example, a triangle was in quadrant one and I had to rotate it clockwise 90 degrees, I would just turn my paper clockwise so that the figure would appear to be in quadrant four.A rotated figure does not change in size nor shape.It just changes in location.A rotated figure is different from a reflected one because when you reflect a figure it is just flipped over the x or y-axis.But when you rotate a figure, your turning the figure either clockwise or counterclockwise, and draw it in another quadrant.If we rotate a figure 90 degrees clockwise and then rotate it again 90 degrees counterclockwise, the figure will end up in the same place it was in in the first place.If we rotate a figure 360 degrees counterclockwise, the figure will also end up in the same place as it first began.There is no difference when you rotate a figure 180 degrees counterclockwise or clockwise.

Reflections

A reflection is like a mirror image because the figure does not change in size or shape, just location.You can reflect an image over the x-axis or y-axis without knowing the exact rules by counting how many squares are in between the original figure and the axis in which you are flipping it over.Then you count that exact number of squares from the axis and plot your point.The original figure and it's reflection are exactly equal distance from the line of symmetry because the reflected figure has to be the exact same thing as the original (mirror image).I think we could find the line of symmetry if we were given the points of the original figure and the reflection.When I look at two figures, I know which is the transformation because the transformation will allways have an aphostrophe ( A' ) at the top of each letter or point.

Dilations

A dilated figure changes in size, and location.When we zoom into a photo the image becomes either clearer or blury.Zooming relates to dilation because when you dilate a figure you are either making the figure larger or smaller.When a figure undergoes a dilation with ascale factor of 1.5, becomes larger.The figure becomes larger because when you multiply a figure by a number greater than 1, the figure becomes lager.However, when you multiply a figure by a number less than 1, the figure becomes smaller.Dilations differ from Translations because when you dilate a figure, you are changing the size of the figure.When you find the translation of figure, you are finding the new location of the figure (or it's prime).Multiplying by 1/3 is the same as dividing by 3 because when you multiply a number by 1/3 you have to divide the numerator by the denominator.For example, if you wanted to find 1/3 of 16, you just multiply 1/3and 16/1.Which gives you 16/3, which is also the same as 16 divided by 3.

Transformations-Translations

1. When I look at two figures on a coordinate plane, I now which one is the transformation because the transformation always has a comma above it.The new points are called translations.A word that I would use when describing a translation would be sliding.I would use sliding because when you identify a figure on a coordinate plane you might notice that the transformation is congruent to the original, its just moved across the coordinate plane.A translated figure will never change in size or shape because the figure was just moved across.You can translate a figure without a coordinate plane by subtracting the coordinates.