a non congruent alternate interior angle.



This is an logo for Blue H Technologies. In the H, there are 2 parrallel lines and one diagonal line crossing through making a non congruent alternate interior angle. An alternate interior angle is two no adjacent angles that  lie of opposite sides of a transversal between two lines that a transversal intersects; alternate interior angles are congruent if the lines intersected by the transversal are parrallel. This logo is from the advertisement industry.

I got this picture from: http://gids.maritiemnieuws.nl/img/logos/3300/Blue%20H%20Technologies.png

Supplementary angles that are not a linear pair

 Its a little hard to see, but i took this screenshot from my computer, and in the safari logo, there is a supplementary angle. There is a horizontal line and a diagonal line not crossing through it, but going under it. The safari icon iss a shortcut to get to the internet on a Macintosh computer. I click on it everyday to use the internet. A supplementary agnle is equal to 180 degrees.

I took this picture myself.

Adjacent Non- supplementary angles

A ski is narrow strip of wood, plastic, metal or combination thereof worn underfoot to glide over snow. Substantially longer than wide and characteristically employed in pairs, skis are attached to boots with bindings, either with a free, lockable, or permanently secured heel. Originally intended as an aid to travel over snow they are now mainly used recreationally in the sport of skiing. The two skis that are lying on top of each other make adjacent supplmentay angles. Two Angles are Supplementary if they add up to 180 degrees. This object can be found in ski lodges, or the slopes. People who ski use skis.

I got my picture from: http://en.wikipedia.org/wiki/Ski

I found my information about skis from: http://en.wikipedia.org/wiki/Ski

Congruent Acute Angles

A file folder is a kind of folder that holds loose papers together for organization and protection. File folders usually consist of a sheet of heavy paper stock or other thin, but stiff, material which is folded in half, and are used to keep paper documents. They are often used in conjunction with a filing cabinet for storage. File folders can easily be purchased at office supply stores. Angles smaller than a right angle, less than 90°, are called acute angles. The angle highlighted in green is acute and the angle highlighted in yellow and green is also acute. 

I got my information about folders from: http://en.wikipedia.org/wiki/File_folder

I took this picture myself. The folder is from office depot.

Line perpendicular to a plane

this is a window blind. A window blind is a type of window covering. There are many different kinds of window blinds, using different systems and materials. A typical window blind is made with slats of fabric, wood, plastic or metal that adjust by rotating from an open position to a closed position by allowing slats to overlap. There are also window blinds that use a single piece of material instead of slats. The three lines highlighted in pink, gray, and green symbolize lines, and they are the blinds . The window is the plane. The blinds are perpendicular to the window. This picture is from the advertising/ marketing industry for Next Day Blinds®.



I got my picture from Google Images
I got my information about blinds from: http://en.wikipedia.org/wiki/Window_blind

Three or more coplanar parallel lines

This is a keyboard cover for Macbooks. It helps protect the keyboard from spills, scratches, and dust from entering the internal equipment. It also makes my keyboard look pretty. As you can see, the separation from the keyboard makes a line. The lines outlined in pink, yellow, and blue are the three parallel lines. The three lines are parallel to one another and are coplanar. I like to use this object, and so do a lot of other people who want to give their laptop a bit of personality.

I took this picture myself. It is located on my laptop as I am typing.

Angle Bisector

This is an analog clock, which is used for telling time. The longer smaller in width line signifies the mintues while the shorter wider in width line signifies the hours. The skinny long red line signifies the number of seconds. The clock shown in the picture is mounted on a wall. An angle bisector is a line which cuts an angle into two equal halves. As you can see in the picture of the clock, the yellow line is bisecting the purple angle.


I got this image from: http://www.biglearning.org/photo-clock11.jpg

Segment Bisector

The segment bisector bisects the segment at the midpoint and divides the segment. This is a railroad sign that signifies a railroad track is not coming up. This particular one is used in the United States. As you can see, the railroad (outlined in blue) is the segment, and the line (outlined in yellow) bisects the railroad. People who drive in older parts of areas often will see these signs. Although the sign is still intact, there might not be a railroad. I believe that this sign is from the metal fabrication industry.

I got this picture from google images.

A Pair of Skew Lines

In this picture, my arms symbolize two skew lines. The lines do not intersect, as they will never intersect. Roy's smile is the geometric idea of beauty. Skew lines are not parallel. They are also not coplanar. Skew lines exist only in three or more dimensions.

I took this image myself! :)

A Pair of Vertical Angles

• These chopsticks overlapping each other contains two vertical angles (one pair in teal, the other in purple) because two angles both form a linear pair with the same angle. These vertical anfles are congruent. Chopsticks are short, frequently tapered sticks used in pairs of equal length, which are used as the traditional eating utensils of China, Japan, Korea and Vietnam. i believe that this picture is from the food industry.
• I found this picture online at: http://www.bigceramicstore.com/supplies/ChopstickMah.gif
• I found my information about Chopsticks at: http://en.wikipedia.org/wiki/Chopsticks