Thursday, November 1, 2012


 The tracks on this train track show three or more coplanar parallel lines. These lines do not meet but are on the same plane, and have equal distances apart from each other. Train tracks are long tracks located on the ground that trains run on to get people from one place to another. They can be found in many places and are used all over the world. http://www.google.com/imgres?q=train+track&um=1&hl=en&client=safari&tbo=d&rls=en&authuser=0&biw=1280&bih=628&tbm=isch&tbnid=5JNiphzvZm_9tM:&imgrefurl=http://globalcitizenblog.com/railroad-tracks/&docid=5iG6TRmsZysj6M&imgurl=http://globalcitizenblog.com/wp-content/uploads/globalcitizen/railroad_tracks414.jpg&w=1129&h=751&ei=Q8m2ULzVOaaJ0QGChoCgBw&zoom=1&iact=hc&vpx=181&vpy=334&dur=937&hovh=183&hovw=275&tx=174&ty=135&sig=116175168298521942163&page=1&tbnh=144&tbnw=206&start=0&ndsp=19&ved=1t:429,r:7,s:0,i:184




These windows are an example of congruent angles. All these angles have the same angle measurement allowing them to be congruent to each other. Windows are used in all sorts of buildings such as schools, homes, offices, churches, etc. They are used to keep the warm, cold, rain, and everything else out of the buildings but made so that you can still see out of them. They have been around for a very long time and are used frequently pretty much everywhere. I took this picture myself to demonstrate congruent angles.




This water bottle placed on the table forms a line perpendicular to a plane. Since the bottle is stood upright on the table it forms a right angle, the bottle representing the line and the table representing the plane. This is just an ordinary water bottle that I found in my refrigerator and I used it to demonstrate a line perpendicular to a plane. Water bottles can be found at any stores such as a grocery store, a gas station, a market, or a restaurant etc.  They are used for drinking water out of when you are thirsty and rehydrating. I took this picture myself to demonstrate a line perpendicular to a plane.



My tile floor is filled with angles, so in this picture I chose one of them and measured the angle. It was 90 degrees so to find the angle bisector I split it in half which was 45 degrees. The blue lines represent the actual angle and the yellow line represents the angle bisector. The yellow line acts as an angle bisector because it divides the angle into two congruent parts. These tiles are all over my home. Many people have tile floors because it is a popular style of flooring that is used frequently worldwide not only in homes but in all sorts of buildings and structures. I took this picture myself to demonstrate an angle bisector.





A ceiling fan is a perfect example of vertical angles. Vertical angles are formed when two lines intersect to make pairs of opposite angles. The two angles are always congruent, so in this case the angle to the left showed by the blue is congruent to the angle to the right which is also in blue. The fan forms the letter "X" which is just two lines that intersect to make opposite angles also known as vertical angles. Ceiling fans are found in many types of buildings such as houses, offices, schools and many other structures. They are used to keep the room cooler and get the air circulated and moving around. http://www.google.com/imgres?q=ceiling+fan+with+4+blades&start=517&um=1&hl=en&client=safari&sa=X&tbo=d&rls=en&authuser=0&biw=1280&bih=628&tbm=isch&tbnid=0W3ObUTQuGriuM:&imgrefurl=http://www.novalightingstore.com/Fanimation-Ceiling-Fans.asp%3Fid%3D67600&docid=kiXb_S1uNcRQcM&imgurl=http://www.novalightingstore.com/Fanimation/Images/FPS7880OB_WA.jpg&w=300&h=149&ei=Ysy2ULKiDYyM0QGAyYCQBA&zoom=1&iact=rc&dur=483&sig=116175168298521942163&page=20&tbnh=116&tbnw=233&ndsp=29&ved=1t:429,r:24,s:500,i:76&tx=66&ty=67





I set up these spoons so that they would form angles that are adjacent, but are not supplementary. Together these angles add up to 90 degrees, while supplementary angle would add up to 180 degrees. These spoons came from my utensil drawer. I put two together so that they formed a right angle and then I put one directly in between the two to divide the angle into two parts. Spoons are a type of utensil that is used for eating and is used in most households all over the world. I took this picture myself to demonstrate adjacent non-supplementary angles.




A triangle always adds up to 180 degrees, but do not have any linear pairs. A supplementary angle means that it adds up to 180 degrees. I used three markers to form a triangle. Markers are used for drawing and to make markings on paper or other objects. Lots of people have markers because drawing is a popular activity for people of all ages in places all over. I took this picture myself to demonstrate a supplementary but not a linear pair.




These two paths form skew lines. A skew line is two lines that may intersect but are not parallel. The two yellow lines represent the paths and their relationship with each other, and if extended, the lines would then intersect with each other. Paths like these can be found in many places. There are paths in the woods such as this picture, but they can also be found in neighborhoods, parks, and many other areas of the world. They are used for direction to show where people should walk and usually directs them to where they are going. http://www.google.com/imgres?q=2+paths&um=1&hl=en&client=safari&tbo=d&rls=en&authuser=0&biw=1280&bih=628&tbm=isch&tbnid=9NgVVUDAlJA03M:&imgrefurl=http://jmarieravenshaw.wordpress.com/2012/10/16/taking-the-path-less-traveled/&docid=jKvNG90m1R5IiM&imgurl=http://jmarieravenshaw.files.wordpress.com/2012/10/path-less-traveled.jpg&w=500&h=375&ei=78y2UJ3TCtGB0QHwrIDgAg&zoom=1&iact=hc&vpx=611&vpy=191&dur=351&hovh=141&hovw=190&tx=98&ty=110&sig=116175168298521942163&page=1&tbnh=130&tbnw=176&start=0&ndsp=18&ved=1t:429,r:3,s:0,i:159








This tennis court is a good example of non congruent alternate interior angles. The alternate interior angles are both inside each of the angles, but also alternate to each other. Tennis courts are used to play the sport tennis on. Tennis courts can be owned by households, communities, neighborhoods, community pools, and other places. Tennis is played in many places which means that tennis courts can also be found in many places around the world. http://www.google.com/imgres?q=tennis+court&num=10&um=1&hl=en&client=safari&tbo=d&rls=en&authuser=0&biw=1280&bih=628&tbm=isch&tbnid=JEXXgYu0OgVDdM:&imgrefurl=http://www.photo-dictionary.com/phrase/10094/tennis-court-grass.html&docid=s3h5ehQQfZ6ijM&imgurl=http://www.photo-dictionary.com/photofiles/list/10094/13663tennis_court_grass.jpg&w=700&h=354&ei=6M22UJ2MEJGo0AHp74HYAg&zoom=1&iact=hc&vpx=306&vpy=298&dur=256&hovh=133&hovw=264&tx=197&ty=28&sig=116175168298521942163&sqi=2&page=1&tbnh=133&tbnw=264&start=0&ndsp=20&ved=1t:429,r:16,s:0,i:198