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.