Sunday, January 12, 2014

Segment bisector

This street sign has a segment bisector colored black on it (also numbered 1 in green).  A segment bisector is a line or segment that splits another segment in half. This sign has a vertical segment being bisected by a horizontal segment to show that a left turn is approaching on the left of the main road you're traveling on. The equal segments are shown by the two blue dashes. Road signs are used on all roads to help warn and direct cars preventing accidents. Drivers all over the world use road signs everyday.  State and county workers are responsible for placing road signs in their proper positions. Civil engineers decide where roads should be built and road signs placed.

This was taken when I was driving in my car, on Old County, Rd. in Severna Park, MD.






Skew Lines

This is a picture of three lacrosse sticks that are considered skew lines. For lines to be skew they must never intersect with one another. These line extend on for ever or infinity. All three lacrosse sticks numbered one, two, and three don't intersect at any point, they never touch, so they are all skew lines. Lacrosse sticks are used to play the game lacrosse or to throw a ball for your dog to fetch. Lacrosse sticks are used by professional, collegiate, high school, and club lacrosse players. Dog owners can play catch with their dog using lacrosse sticks as well.
This photo was taken in my kitchen.


Supplementary angles that are not a linear pair

In this photo of a movable stair case there are two angles that are supplementary but not linear pairs. For two angles to be supplementary their measure must add up to 180 degrees. For the the two angles not to be a linear pair they must not share the same vertex and cannot share a side. Angle 1 and angle 2 are supplementary because of the Consecutive Interior Angle Theorem. Consecutive Interior Angle Theorem can apply in this case because lines 3 and 4 or the vertical pipe supports are parallel and a diagonal pipe or transversal (colored red) connects lines 3 and 4. Moveable staircases are used by individuals to complete tasks at a higher level than the base of the stair case.  Moveable stairs are used at Home Depot, libraries, airports and sailing venues to place objects at high levels.



This picture was taken at Annapolis Yacth Club when I was sailing on Sunday.






Adjacent non supplementary angles

This is a picture of a roller coaster which has adjacent non supplementary angles. Adjacent angles are angles that share a vertex and a side, and non supplementary means that the sum of the angle measures can't add up to 180 degrees. In the picture angle 1 and 2 are adjacent because they are next to each other but are both acute angles so they can't add up to 180 degrees. Roller coasters are found usually in amusement parks and either scare people or give them a rush of fun. Constructual engineers, physicists, and amusement park ride control people work with roller coasters.


This can be found on: https://www.cedarpoint.com/images/rides/dragster_tower1.jpg


Vertical Angles

Vertical angles are opposite angles formed by two intersecting lines. The cross found in St. John's church in Severna Park is an example of vertical angles. For vertical angles to occur you must have two lines that intersect but they can't be on the same line. the two angles that are across from one another are vertical angles. The cross has a long line going slightly down to the right and is being intersected by a smaller line pointing diagonally up to the right. From the diagram angle 1 and angle 4 are vertical angles and angle 2 and 3 are vertical angles. The vertical angles are also congruent to one another. The cross is found in Christian churches and is used to worship and remember the suffering Jesus went through when he was crucified. Christians and others use crosses in worship.  Masons and steel workers create crosses for cemeteries and churches. 
Tis photo was taken in my church St. John the Evanglist.

Congruent acute or obtuse angles

The image of my roof has two congruent acute angles(angles 1 and 2). The two base angles are acute which means they are less than 90 degrees. The two base angles are congruent which means that there angle measures are equal to each other. The base angles must be congruent so the weight of the roof is split evenly. Roofs are used on most buildings in the world to give shelter from rain, sleet, snow, wind, hail and other elements. Carpenters, roofers, architects and engineers use this design in constructing buildings.



This photo was taken from my driveway viewing my room's window.


Line perpendicular to a plane


The telephone pole is perpendicular to a plane, which in this case is the ground. In order to have a line that is perpendicular to a plane you need a line to intersect a plane at 90 degrees. The definition of perpendicular is the measure of 90 degrees when two objects intersect. In this case the telephone pole intersects the ground at 90 degrees, so it is a line perpendicular to a plane. Telephone poles are used to connect people using phones to communicate with one another and for transporting electricity. Telephone repairmen, communication engineers, and electrical workers work with telephone poles.

This can be found on: http://fineartamerica.com/featured/a-line-of-telephone-poles-travels-george-grall.html


Three or more coplanar parallel

On the American flag there are 13 parallel coplanar lines and fifty stars. A line is a geometric term that means an undefined object goes through two points forever. I have put arrows on all the stripes top and bottom. For lines to be parallel they must never intersect and coplanar means the parallel lines are on one plane. The lines will never intersect in the photo of the flag making them parallel lines. The American flag has stripes that never intersect on one sheet of fabric. For parallel lines to be coplanar they must be on the same plane or the fabric of the flag in this case. The American Flag is found in all government buildings, schools, and in popular locations in cities to honor our nation.  Military men and women, government workers and school kids must hoist and retrieve the American flag every day.



You can find this on: http://fineartamerica.com/featured/a-line-of-telephone-poles-travels-george-grall.html


Angle bisector

Father Profits robe contains an angle bisector. An angle bisector is a segment that bisects(splits in half) any given angle. An acute angle is formed in the shape of a "V" on the back of his robe. A line comes up the back of the robe and bisects the acute angle or splitting the acute angle in half on the back of Father Profit's Robe, making angles 1 and 2 congruent. Lines and Angles are used in clothing, apparel, linen, and fashion designs.  Many professions use lines and angles, fashion designers, t-shirt makers and clergy in the Catholic Church are a few.


This photo was taken at my church in the greeting area.

Non-Congruent alternate interior angles


This sailboat has a pair of interior angles that aren't congruent. For two angles to be interior angles and to not be congruent they must be on two different lines that aren't parallel, and are cut by a tansversal. the sum of the angle measures also can't equal one another. This sailboat has a mast, boom and sprit  poles (which hold up the sail) all of these combine to form non congruent alternate interior angles. The top sprit pole (colored green)and bottom boom (colored red) are not parallel and the mast (colored blue) cuts through both of these up and down as a transversal. The angles on the interior of the boom and sprit pole that alternate across the mast aren't equal. As you can tell angle 1 and angle 2 are not congruent, they are alternate interior angles. A mast, boom and sprit pole are needed to make a small dinghy sail.  Larger sailboats need just a mast and boom, but some are designed to use sprit poles as well.  Professional sailors, collegiate sailors, club sailors, sailboat designors all use mast, boom and sprit poles in the sport of sailing.

This image can be found on: http://intheboatshed.net/2007/06/03/jims-canoe-gets-new-sails/