Sunday, January 12, 2014

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/