Engineer
The craft of mechanics can prove to be very difficult and it can consume many trials. Like scientists, they record data and use graphs for the perfect timing, movement, and the fewest errors possible.
Also this topic covers the things that engineers use on a normal basis, when developing technology.
LT 1A: Vocabulary
BASICS
Point: an exact position or location on a plane surface.
Line: a geometrical object that is straight, infinitely long and infinitely thin.
Plane: a flat surface that infinitely large and with zero thickness
LT 1A: Specifics
Angle: the figure formed by two rays
Segment: a part of a line contained by two endpoints
Ray: a part of a line has one fixed endpoint and extends infinitely
Perpendicular Lines: two lines that intersect to form a right angle
Parallel Lines:two lines on the same plane that never intersect
Artist
CAREERS
In many medias of art, artists use measurements and line work to plot out their projects and there is a basic graph that artists use to set up an outline from a reference to set it up proportionally.
Also, many artists are very particular with their art and will lose it if an angle or line is off. Just saying.
Biologist/ Scientist
From our personal experiences in Biology Honors, we know for a fact that we use all of the material within this topic to graph and analyze the data that we have recorded in the various labs performed.
Like Biology Honors, scientist can make mistakes in data and graphing is essential in analyzing the data to further advance in science.
TOPIC 1: INTRODUCTION, ANGLES AND LINES
LT 1E: The Angles of Parallel Lines
Proving Corresponding Angles and Alternate Interior Angles Congruent
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2
Corresponding Angles:
4
3
Alternate Interior Angles:
Continuing from the corresponding angles proof, alternate angles can be found from setting angle 3 and 4 congruent by vertical angle and by the transitive property, angle 4 and 2 are congruent, making them alternate interior angles.
Corresponding:the angles that occupy the same relative position at each intersection where a straight line crosses two others.
Same Side Interior: two angles that are on the same side of the transversal and on the interior of the two lines.
Alternate Interior: two interior angles which lie on different parallel lines and on opposite sides of a transversal.
Proving Same Side Interior Angles Supplementary
5. < 4 and < 3 are supplementary
6. < 3 and < 2 are congruent.
7.< 4 and < 2 are supplementary
5. def. of linear pair
6. corresponding angle post.
7. SS post.
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2
4
3
LOL
BRIAN HONG //AMANUEL ADANE
PERIOD 2
Here is a real life situation.
You are a neurosurgeon, developing a device that you spent months of research on and it is hypothesized to remove dopamine to a normal amount in rehabilitation patients. The neurons run parallel and cannot be too close or it can trigger a negative response. You have a test subject and in order to test on him, you have to check if his neurons run parallel and if they are at a safe distance of 10 or more picometers, or pm. On a graph the two neurons are mapped out and it is your job to find out if he qualifies.
LT 1D: Relationships of Angles
Complementary: two or more angles having a sum of exactly 90 degrees
Supplementary: two or more angles having a sum of 180 degrees
Adjacent: two angles sharing one side
Linear Pairs: two adjacent angles that are supplementary
LT 1C: Formulas.
Vertical Angles
Distance:
Vertical Angles are the angles opposite each other when two lines cross. They are always equal.
Midpoint
LT 1B : The P Lines
Parallels lines have same slope and perpendicular lines' slopes are opposite reciprocals of each other.
EQUATION:
Proving Lines Parallel
*TO FIND PERPENDICULAR LINES: use the opposite recipocal of the given slope in the problem.
WORKS CITED
Mrs. Burkhard
Ms. Lange
Google Images
http://undsci.berkeley.edu/teaching/
http://www.cobanengineering.com/GeometricDimensioningAndTolerancing/TechnicalDrawingLines.asp