Xavier's Room

I used GeoGebra to make a scale model for an extra credit assignment for math class. I used it to plot out the room and the furniture. I used the measurements of my room, 112.5 in x 131.75 in (width x length), plus a very oddly placed square coming out in the south-west corner of the room to make a rough rectangle out of line segments using the input bar at the bottom of the screen that is for coordinates. Once I put the first point I used quite a cool function to make the other points. In the input bar, I typed in: A(first point) plus (0,131.75) to make a point 131.75 units up from point B. The doors were the coolest though. I took out a segment in the wall that was as long as the door,made a circle with a radius of the door, placed it in the empty spot on the wall, made a line segment to represent the door, used a very nifty tool to hide the circle, and I had an opening and closing door. The furniture were basically all polygons, except for my trash can. So, to make the furniture I made a point, made a circle with the radius of the width of the furniture, and put a point at the end of the circle parallel to the first point to make two point directly in line with each other and connected them with a line segment. I used a tool to make a perpendicular line at my first point and did the circle-radius thing only this time with the length. I put a point exactly where the circle and line intersected to make the third corner of the piece of furniture. Then I put another perpendicular line at the second point I made, south from the first one. Did the circle thing with the width again for the last point, and then used the awesome polygon tool to make the inside, and lines around it. The best part to the furniture was that I could control how to rotate and use the furniture by the two adjacent points on the end. The one point I customized to be an empty circle rotates the piece of furniture and the diamond moves it. (Try it out!) Every thing else was furniture, the sliding door and the trash. Wouldn't be a bedroom without it! I am very pleased that the functions on geogebra can make fold in doors and opening doors in the plane. I recommend this tool for many teachers and students for plotting out graphs, animating and moving objects and shapes, studying geometry and more math and science. I really only did my GeoGebra model instead of the scale drawing, and I think it's better because you can be more accurate, and do cooler things to make it more efficient. For example, move furniture, open doors, etc. Xavier Golden, Grade 7