non-congruent alternate interior angles

This is a game of pick up sticks. Pick up sticks is a fun game to play with yourself, or others. It is where sticks are placed on the ground and someone has to pick one up without making the other sticks move. In this image there are only three sticks left. The way the sticks are placed creates non-congruent alternate interior angles. The yellow and blue stick create angle one which is an alternate interior angle to angle number two which is created by the blue and green stick. The yellow and green sticks are clearly not parallel so according to the alternate interior angles theorem the interior angles are not congruent. This is an image I took myself.

supplementary angles that are not a linear pair

This is a picture of an uneven cut pizza. This pizza was made with the food industry. It can be used for dinner, lunch, and some people even like it for breakfast. When people cut their pizza the pieces are not always evenly sliced. Lets say someone wanted a bigger piece than another. In this image there are two pieces cut on opposite sides of the pizza. They create supplementary angles that are not a linear pair. One angle is 70 while the other is 110. When you add these two angles together it is 180, meaning the two angles are supplementary. This is an image I took myself.

adjacent non supplementary angles

This is an image of fingers that could be stuck on a scare crow. Scare crows are often seen on farms or sometimes in yards. They are used to scare off birds because they think it's a human. The fingers on the scare crow act like adjacent non supplementary angles. Adjacent non supplementary angles are angles that share a common vertex and a side. The three sticks creating the scare crow's fingers make two adjacent angles. This is an image I took myself.

line perpendicular to a plane

This is a picture of a ceiling and a wall meeting. This is something people see almost every day. It will be in most rooms. It represents a line perpendicular to a plane. The ceiling is the plane and the wall shows the perpendicular line. When the wall meets the ceiling a 90 degree angle is formed. It is important to have that 90 degree angle or else the ceiling will be off balance. This is a picture that I took myself, it is not from the internet.

three coplanar parallel lines

This is a picture of the pencils placed on a desk. Pencils and desks are used very often by students, workers, and almost anyone who just needs to write something down. The pencils are laid out so that each is parallel to the other. The pencils represent lines and the desk represents a plane. This image is a real life example of three coplanar parallel lines. This is an image I took myself.

segment bisector

This is a picture of a bridge. Parts of this bridge were made using the help of the metal fabrication industry. There are metal supports in the bridge and the side rails are also made of metal. This image shows an example of a segment bisector in real life. A segment bisector is another segment that cuts through a segment at its midpoint. This bridge is something many people will use daily. It is crossed all the time. It was probably very important for the safety of the cars crossing it that the pole was exactly in the middle, creating the segment bisector. This image was found on the internet.http://www.stpete.org/images/041400.jpg

skew lines

This picture represents skew lines. Skew lines are similar to parallel lines in the way that they don't ever touch. They are different in the way that their slope is not the same, so they are going in different directions. This is a picture of a street sign. It is made from metal so it relates to the metal fabrication industry. Many poeple use this in the real world to find their way. It can be used so that people dont get lost and know where they are going. This is where the picture was found: http://www.google.com/imgres?hl=en&safe=active&client=firefox-a&hs=nK&tbo=d&rls=org.mozilla:en-US:official&biw=986&bih=867&tbm=isch&tbnid=0cIjFyFQ5v00eM:&imgrefurl=http://geometryislife.blogspot.com/2011/05/skew-lines-are-represented-by-street.html&docid=raXUHs6yNKWCrM&imgurl=https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi0XvAyC5k3ZLy_5AA1n7jWpyWeB6MI9vvpicG7aqJ5FTv16CsC2Rj2qbnQ3J0BxM-RMOliuk8-Z0rsYUiZL570k-IKbDyimb5stKPbHExqWvZIQ5QJmD1NHxSaIUWvvw5sarbvr5QciEQ/s1600/DSC_0426.jpg&w=1600&h=1063&ei=QpSaUPmsG-XV0QGctYHoAg&zoom=1&iact=rc&dur=303&sig=100080535403071393968&page=1&tbnh=145&tbnw=194&start=0&ndsp=24&ved=1t:429,r:2,s:0,i:77&tx=101&ty=51

Vertical Angles

Vertical angles are a set of lines that cross each other to create two congruent angles. The image above shows a pair of skis. Skis can be found at a sport shop or winter store. Any person who lives somewhere in the mountains normally has a pair of skis, or people who are going on vacation to go skiing. When the skis are crossed like this it creates a vertical angle. As it shows in the picture, the measure of angle A is equal to the measure of angle B. This image was from the internet.http://math8reviewpd5.wikispaces.com/file/view/4261451730_beeecbe471.jpg/225467862/249x187/4261451730_beeecbe471.jpg

Angle Bisector

This is a leaf that can be found on trees outside. The veins on the leaf represent lines. The two lines that connect in the middle and are drawn in black create an angle. The line that comes between the angle is the angle bisector. Leafs can be used in the real world for art projects, they get raked up in the fall, and some can be eaten. Regular people can see and use leaves everyday. Scientist can study them. Leaves are parts of plants which are studied in the biotechnology industry.This image is from the internet.https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgiiS3QVDuLgTHU4xBWGfvccH15MKEjSz5yHQzrCMTdiCmeoBonrw-1gxUwO9HKIq9CdCKePYOGDYGX4GXyry8Tjl0oqUKsziljO18Oj7cP4RzZftH5BD3EMeSgHhDw4_EuR2Aur0L7F7M/s1600/LEAF+VEIN.JPG

Congruent Angle

This image is of a pumpkin pie that is being cut up into even pieces. Pies can be found at a local grocery store. This item is made from the food industry. When a pie is cut evenly it is a lot like congruent angles. Congruent angles are when two angles have the same measure. Because each piece of pie should be the same size they act like congruent angles. This is an example of how geometry can be used in the outside world. Many people around the world buy pies and cut them into pieced everyday. Now readers know that when they are trying to make even pieces they are actually using congruent angles. This is a photo from the internet.http://mrwadeturner.pbworks.com/f/1294372300/images-1.jpeg