The new Background is not mine! It belongs to an amazing artist on tumblr. Here is the link to her page
http://askmandecaiandrigboy.tumblr.com/

Ho do we solve Rotations?

Rotations are pretty easy. Hey, it's me back at you with fun mathy excitement.
A rotation is when you flip an image either 90, 180, or 270 degrees around the grid depending where it originally was and where it is going. Now t gets confusing because the numbers of the coordinates flip and change and it all depends where it started out at. Rotations will always go counterclockwise, meaning the opposite way a clock normally ticks. For those of you who no longer remember what an analog clock looks like, that means that it will always go to the right unless specified in the question. 
There's an easy way to remember what goes where for each rotation. 
90 degrees.......(x,y)--->(-y,x)
180 degrees......(x,y)--->(-x,-y)
270 degrees....(x,y)--->(y,-x) 


Now this rule will change and become the reverse if you are going counterclockwise. 

And those are the rules to the rotation. I am pretty sure you know how to graph this right? I hope so. 

How Do We Graph a Dilation.

Hey, Nebbii here back with more geometric fun. So from my last few posts I explained the different types of transformations there are. Today we'll be learning how graph a dilation, and lucky for you it isn't that hard. A dilation is the change of a shapes size, but not its orientation.

So how do we put that onto a graph?

You first have to find the scale factor, that's the ration which the image is being enhanced or shortened by. So let's say if your coordinates are (2,4) and your dilation scale factor is 3, that would look like D3 (normally the 3 would be smaller beside the D. Your answer would be (6,12). You multiply the scale factor by the coordinates and sometimes you divide it. The question will normally make it clear whether you'll be dividing or multiplying but what is mainly asked is the scale factor.

Once you have your new points you plot it on the graph and ta-da! You have a cool new image.

I hope this helped, Later days. 

How do we graph transformations that are reflections?

Reflections. Simple term right? You look in any mirror and you've got your answers right there.

In all seriousness, reflections are pretty easy to graph. First of all, you need to know what a reflection is. Another easy term that you should know if you were paying attention in Geometry class.
A reflection is a figure flipped over a line of symmetry, and what is a line of symmetry you ask?
It is the line that can cut a figure or shape equally in two or more pieces. Think of a pizza pie being cut into eight slices, or a pie. You just got hungry didn't you?
Next a reflection will have a line of reflection, meaning that it will be the same number spaces away from what ever line is dividing it. Reflections are calculated by the terminology ry=x
"r" is the term for reflection, "y" indicates that the image is being flipped over the y-axis, and "x" is the variable.
So a shape like this would be flipped three spaces away over the y-axis from its original space.

Pretty easy huh? And I thought I was going to have to give you a whole lecture about it.

Later Days. 

How do we identify transformations?

Geometry has been my weakest subject since I first entered high-school. The shapes and numbers along with letter that have no meaning behind them are annoying, and it's probably with that attitude why I am sitting here in Geometry class writing this blog. 

So lets get down to it so that I can get a good grade for this class. 

What is a transformation?

The best explanation I can give you about a transformation is that it's a movement or dilation (changing the size of) any shape on a coordinate plane. 

There are different ways to identify transformations, whether they be visually based off of an example, or mathematically where you have to go through the trouble of actually working the problem out. There are different types of transformations like reflections, rotations, translations and dilation. What exactly are these types of transformations?

Translations are the easiest of all the transformations, every point is moved a certain distance in a specific direction based on the coordinates given. This would be the kind of problem that would involve two triangles and one is a few inches away from the other. What you need to find is how far the triangle was moved from its original place on the coordinate plane and mark it. 

If you're one of the lucky high-school students you'll be given the translation change already and just have to make a new triangle using that distance given. 

Reflections are flipped figures that have a line of symmetry, meaning that they are (like the name states) reflections of the original. Easy peasy right?

The last two, rotations and dilation are a little harder to remember, mainly because they are as important in the geometric hierarchy. Sad. 

Rotations are turned around a single point while dilation is the change in size of a figure. 

With that said, we can now identify transformations and come up with one single definition for what a transformation is. Its the change of triangles using different methods that can be identified by their placement and symmetrical change on a plane. 

That wasn't so hard right? Right.