Supplementary angles that are not a linear pair

This demonstrates supplementary angles because they are consecutive interior angles on to parallel lines. (The angle lines that are drawn are not meant to mean that the angles are equal, rather to indicate which angles I am talking about). Supplementary angles are two angles that add up to 180*. This design is used for keeping the sign up and without these angles it would be slanted.

Composite Solids

For the final blog of the year the theme is composite solids. A composite solid is when two solids are combined to make 1 solid. In the example shown 4 cylinders are stacked on top of each other to create the actual bottle, and then a smaller cylinder is stack to create the top. This design is used for style but also to create more space within the solid.

A 36-gon?

The line that is traced in the picture is actually a line within the object. It represents where the two pieces were combined, plus it also shows the line in which the pattern of the nozzles follow. Without this line to arrange the nozzles the water pressure would not be spread out, and then the shower would not be as useful. Also this is the way the pieces were attached. This shape is a 36 sided polygon, since it has 36 sides and is a closed shape without curves.

Non-congruent alternate interior angles

Congruent alternate interior angles occur when a pair of parallel lines are cut by a transversal. In this situation the blue and the green crayon are clearly not parallel and are cut by the red crayon, or the transversal. This means that the alternate interior angles are not congruent. I found these crayons ontop of my counter and I thought that this was the perfect example for this blog.

Skew lines

This is an example of skew lines because they are on seperate planes and will never touch. These skew lines are located in the severn hallway in between the lockers and the ceiling. These two lines may not look it from the picture but they are in different planes. They help us because they support the building and provide style for the room. 

Congruent isosceles triangles... In my house?

Outlined in red are 2 congruent isosceles triangles. As you can see from the picture the curtains do not cover 2 triangular spaces on either side of them. I figured that if each side of the curtain was congruent than so where the space they don't cover.  The curtains allow a certain amount of light to come on and that space happens to be congruent isoslese triangles.