TN "Mirrored Clock" 2018 |
Hello and welcome to my Geometry workshop's first AP. In this class, we discussed mathematic proofs, symmetry, and process of elimination. For this AP, we are going in depth on reflections. As an example our teacher Will took the game pong and traced out where the ball was going. You can find his AP here.
I decided to look for reflections and angles in clocks. Why? Well, angles are the sole focus of wall clocks and if you are looking at a clock in a mirror you will see a completely different time and end up late to your meeting!
In the picture below you will see the angle of the clock measured and reflected with a website called GeoGebra and I will be using slope in order to measure the reflections.
TN "Angles" 2018 |
Line CF (5,12) (9,11) 11-12/9-5 -1/4 -0.25
Line EF (9,11) (6,6) 11-6/9-6 5/3 1.6
Point slope Form
Line CF Y-12= -0.25(x-5)
Line EG Y-6=1.6(x-6)
In conclusion, mathematically proving that there were reflections in the clock was challenging. As was figuring out the correct math equations to use. This AP was very intriguing and fun to do.
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