Supplementary Angles that do not Form a Linear Pair

           This is a picture of a chair in my kitchen. The cross in the back was put their for decoration, comfort, and support. If there was no cross in the back the chair would not look very good, your back would not feel as comfortable, and the wood would not be as sturdy. Line A and B are perpendicular to each other. Since they are perpendicular to each other they form right angle. Angle C and angle D are both right angles so they have a measure of 90 degrees. Supplementary angles equal 180 degrees when combined; angle C and angle D are supplementary. Angle C and angle D do not form a linear pair because they are not adjacent to each other.

Non-congruent Alternate Interior Angles

This is a picture of a polar coordinates board that I took during study hall. This board is very useful for math. Line A and B appear parallel at first sight but are really not not parallel. The pink line is a transversal. Angle x and angle y are alternate interior angles.  These two angles are not congruent becaue line A and B are not parallel.

This second picture is a picture of a very loopey polar graph.

Skew Lines

Skew lines are found all over the world. The photograph above is a real world example of a picture of a water fountain with skew lines in it. The two skew lines displayed above are skew because they are not parallel and lie in two different planes so they wil never intersect each other. The water fountain froze because it got too cold. When the water fountain froze the water created a bunch of parallel lines all around it. Although this water fountain is not vital to this town it makes it look much better. The bricks in this picture are put together in a pattern creating a bunch of lines. If these bricks were not put together in this way then the sidewalk would not be able to be built.

Congruent Isosceles Triangles

These are two congruent isosceles triangles that were found above the pool in the Severna Park Comminity Center and are found above all pools. These triangles are congruent by SAS. These flags are important for swimming because they help you while doing back stroke, give you spaciel awareness of where you are in the pool, and allow you to do stroke counts for your flip turn.