Geometry Reflections In Buildings and Structures

This action project is for my course "Prove it or Lose It" and unit on finding reflections in the real world.  We went over what reflections were, how to find reflections, talked about how we can show them in the real world. In this action project, I found reflections and I also found two different ways to measure or quantify the reflection using mathematical terminology. I looked for my geometric reflections in buildings and structures.

The first way to measure the reflections in buildings and structures is using angles.  In the screenshot below, you can see how this building has different angles on its structure. You can also see how I found the angles that the buildings made. To understand this reflection, we can look at the angle of where they are equal. That is an important property of geometric reflections.

O'Neill, McKenna. (2012) Two Buildings. Web: Blogspot 

Another way that you can measure reflections is to measure reflections in buildings and structures is using slope.  In the picture below, you can see window bars. Instead of measuring the angles of the lines, you can find the coordinates of the points on the ends of the triangles on the window bars and calculate the slope of each line.

NL. (2018) Window Bars.

Using the slope formula, we find:
SLOPE of AD: (-6.5+-1.6) / (8 - 2.7) = (4.9) / (5.3) = 0.92
SLOPE of ED:  (-6.5+-1.6) / (13.5-8) = (4.9) / (5.5) = 0.89

My slope is off by a decimal of 0.3 but we can see that the slopes of the two lines are about the same.

This action project was challenging for me because I had a difficult time figuring out how I was going to include some mathematical terminology to show and measure reflections. Overall I enjoyed this action project and I hope that my skills with measuring reflections have increased because of this project.