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This is Striste-Kega-Oena, my group’s city. We decided to come up with a unique name because, well, no one else would’ve used it. Everything that a town would need, essentially of course, is there. Houses, apartments, a hospital, a doctor’s office, court house, gas station, park, Fire Department, Police Department, a lake, a creek, a school, a restaurant, and a bank. We thought that these would be the most vital structures for a city to have. Most of these things were required, of course, but it would be difficult for a town to survive without some of the things we added, like a Police Department.

We used lots of different angles and measurements to plan out this project. We used parallel lines, the angle at which a road was places, and several different angle types.

We used angles like:

– Vertical Angles (angles that are opposite one another where lines cross that have the same measure)

– Alternate Interior Angles (two angles on the inside of parallel lines on opposite sides of the transversel)

-Corresponding Angles (two angles of the same measure that if moved on top of one another would overlap perfectly)

I really enjoyed getting to help come up with the names for all the individual streets and buildings in our city, since I was the City Planner. Without counting all the buildings, our city has one line of symmetry. It would go straight down the main street in our city, Dreams Boulevard. It runs directly through the center of our city, so in the middle of that street is where that line of symmetry would be. If the line were in any other place, then our city would no longer be symmetrical. I really think that our group did really well on this project, and that we all did our best to make an original city.

Translation:

a) This is a translation. As the squares move, the distances stay the same. If we named the top right corner on a square “point A” and named the bottom right corner “point B”, if you translated it to the right, you would get A’ and B’. Points A and A’ are the same distance apart as points B and B’.

b) As the squares move, the orientation also stays the same. If we named the top right corner on one of these squares “point A” it would become point A’ and point A” and even point A”‘ as it continues to be translated.

c) Special points are not possible for translations.

Rotation:

a) The distances are different. If a point on the tip of the star was A and a point towards the inside of the star was B then A and A’ wouldn’t have the same distances as B and B’

b) The orientation would be the same . The points if named in order either counterclockwise or clockwise will be in the exact same order after rotation.

c) The special point is the center of rotation

d) The center of rotation is the center of the star. I know this because if it were any other point, it wouldn’t rotate the same way.

e) The angle of rotation is 72 degrees. I know this because I divided 360 degrees by 5, which is the number of points on the star.

f) The order of rotation is order 5 because after rotating it each time, it would land on itself 5 times.

Reflection:

a) The distances are different because all the points (i.e. A and A’ and B and B’) would be different lengths apart from one another.

b) The orientation is different, in fact, it is reversed. If you went point A , point B, point C while reading it in a clockwise direction, it would go to point A’, point C’, point B’ when reading it in a clockwise direction.

c) The special points would be any points that lie on the body of the butterfly because that is where the line of reflection is.