Transformations - Conclusion

The unit of transformation was intersecting to me because there were a lot of different kinds of transformation for example, there is translation which is when the figure only changes it's location. There is also reflection which is when the figure is exactly the same like a mirror there is also dilation which is that the figure gets bigger or smaller based on its scale factor then the last one is reflection which is when the figure either rotates 90 degrees clockwise or counter clockwise and 180 degrees clockwise and counter clockwise. The way you can apply translation in real life is by for example, you need to know which one is the original and which one is prime and you need to know what kind of translation it is.

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.

Journal Entry 10: "Angles part 2"

When they give you the word one is twice as large as the other we know the first angel is two divided than the number because when they say twice as much you multiply by two. If the directions said one is five degrees bigger than the other is saying that the next angel you need to add five degrees to it. The way we know when to assign a variable to something is when you see no letter next to the angel unless they are vertical angels you need to put a variable to represent it. Corresponding angels are congruent angels but that does not mean that they are also vertical because corresponding angels are in he same location but they are on different parallel lines. The word congruent means the same. For example, vertical angels are congruent. Supplementary angels are not congruent because supplementary angels are angels that equal up to 180 degrees. There can be two angels that are both corresponding and supplementary because they could be the same angel and on different parallel lines and the could equal 180. There also could be angels that are vertical and corresponding. The four angels that form around a line is equaled to 360 degrees.

Journal Entry 9: "Angles part 1"

The way you set your equation to equal to 90 or 180 is by determining whether your angel is 180 by seeing if the angel has a straight line in it. Or if it equaled to 90 it will show you either a box with mean that the angel your looking at equals 90 or it will look like a line from the middle of the 180 degree angel. If we set angels equal to each other it means that they vertical to each other or congruent. No we are not correctly solving these problems if we only solve for x because once you solve for x you need to plug in what u got for x to know what your missing angels equal. The word congruent mean the same. Complementary angels are congruent because they are the same angels and they equal the same. Supplementary angels are not congruent because they are next to each other. Other congruent angels are vertical angels, and alternate exterior angels.