Congruent Obtuse or Acute Angles

 

On this purse I drew two congruent acute angles that were formed by the pattern. These two angles are classified as congruent acute angles because they have the same shape and size, and are both less than 90 degrees. These two angles are drawn in green. Purses are a very big fashion statement today. They are used to hold wallets, papers, and other objects one needs to carry around places. Many brands such as coach, Marc Jacobs, Kate Spade, and more create purses. I took this picture.

Line Perpendicular To A Plane

An example of a line perpendicular to a plane is a straight pogo stick on the ground. This is because the pogo stick is at an angle of 90 degrees to the given plane (which is the ground). The line that creates the 90 degree angle is drawn in the green, and the plane is represented by the blue dashed box. Pogo sticks are often used as toys, exercise equipment, or extreme sports instrument. Many kids and adults enjoy using pogo sticks.

Adjacent Non-Supplementary Angles

An example of adjacent non-supplementary angles is two pieces of pie that touch each other. The two angles drawn are adjacent because they have a common vertex and share a common side. They are also not supplementary because their angle measures do not add up to 180 degrees. The angles are represented in green and pink. Pie is a baked dessert, which is usually made of a pastry dough that covers a filling. Some examples of fillings are blueberry, apple, and pumpkin. Many people it pie around the world.

Non-congruent Alternate Interior Angles

Non-congruent alternate interior angles are shown in the picture above. Alternate interior angles are created when a transversal crosses two parallel lines. Each pair of these angles are inside the parallel lines, and on opposite sides of the transversal. Angles one and two marked in this picture are considered non-congruent alternate interior angles because the two lines that the transversal crosses are not parallel. The two lines that the transversal crosses are both green. The transversal is black. Windows allow the passage of light and, if not closed, air and sound. Windows are held by frames and houses from inclement weather. Most homes have windows.

Three or more coplanar parallel lines

 

A drawer is an example of an object that has three or more coplanar parallel lines. The drawer contains three coplanar lines because all the points of all three lines lie in the same geometric plane. This is shown in the image by three lines in the color green. Drawers are important in everyday life. Drawers are used to stole objects, organize objects, or to keep objects safe. I took this picture.

Skew Lines

A street sign is an example of skew lines in real life. The sign contains a pair of skew lines because the two lines do not intersect and are not parallel or coplanar (one line is in blue and one line is in green). Street signs are very important to drivers. Street signs give people sense of direction and where one is located.

Supplementary angles that are not a linear pair

An example of supplementary angles that are not a linear pair is shown in the picture above. The corners of this phone box are ninety degree angles, which add up to 180 degrees. Two angles that add up to 180 degrees is called a supplementary angle. The reason why this example is not a linear pair is because they are not adjacent angles formed by two intersecting lines. The two angles that are supplementary are in pink. Phones are very important in the way humans communicate today. Phones offer a lot today including text messaging, email, internet access, business applications, gaming, photography, and much more. I took this photo.

Segment Biscetor

A five-string violin’s middle string is an example of a segment bisector. This is because the middle string of the violin intersects the violin's bridge at its midpoint. This is shown by the yellow line, which is the segment bisector, and red line, which is the bridge that is being bisected. The violin is a very important part of our culture today. The violin most closely related to what we play today, was recognized in Italy around the sixteenth century. It creates beautiful music and is a very famous instrument.

Angle Bisector

In a kite there are many different angle bisectors due to its structure and outline. This is an example of a real life example of an angle bisector. The kite contains an angle bisector because the line straight down the kite divides the line going across the kite into two equal or congruent parts. This is shown in the image with the white and green line. Flying kites is a very common recreational activity. Kites are also used in activities such a kite surfing, kite land boarding, and kite fishing. Kites are even used for more serious applications such as military use and science and meteorology experiments.

Vertical Angles

A railroad crossing sign is an example of vertical angles in real life. This sign contains two pairs of vertical angles because the two angles both form a linear pair with the same angle (one pair in red and one pair on purple). Railroad crossing signs are very important for drivers. The sign indicates that there are railroad tracks ahead of them, and that they should be cautious.