Section 1-2
A plane is represented by a flat surface that extends without end and has no thickness.
Section 1-5
Complimentary angles are two angles whose measures have a sum of 90.
Supplementary=180 (linear pair)
Section 1-6
Segment Addition Postulate
If three points A,B, and C are collinear and B is between A and C, then AB+BC=AC
Section 1-8
Angle Addition Postulate
Ex: (4x-20)+(3x+14)=155
Combine like terms: 7x-6=155
Add 6 to each side: 7x=161
Divide each side by 7: x=23
Chapter 2
Hypothesis follows if; conclusion follows then
Converse- exchange hypothesis and conclusion; Inverse- Negate the hypothesis and conclusion; Contrapositive- Negate the hypothesis and conclusion of the converse
Biconditional uses if and only if
Law of detachment – If the hypo. Of a true conditional is true, then the conclusion is true.
Law of Syllogism- allows you to state a conclusion from 2 true conditional statements when the conclusion of 1 statement is the hypo. Of the other statement.
Reflexive prop. – a=a
Symmetric prop. – If a=b, then b=a
Transitive prop. – If a=b, and b=c then a=c
Chapter 3
You can write an equation of a line when you know its slope and at least one point on the line. Write a linear equation in slope intercept form when you know the slope and y-intercept.
Chapter 5
When three or more lines intersect at one point, they’re concurrent.
In an Acute triangle, the circumcenter is inside. In a right triangle, it is on the triangle. In an obtuse
This project had many steps and challenges. It helped me learn mathematical equations and about my daily life. The best part about this project is that it fits my curriculum. I will use these components all throughout geometry. It will also help me for later mathematical course that I will take. The first step in making this project was to record everything I did for a full twenty-four hours. After I had recorded what all I did I had to calculate how many minutes I spent doing each item and organize…
Learning About Environmental Geometry: An Associative Model Noam Y. Miller and Sara J. Shettleworth University of Toronto K. Cheng (1986) suggested that learning the geometry of enclosing surfaces takes place in a geometric module blind to other spatial information. Failures to find blocking or overshadowing of geometry learning by features near a goal seem consistent with this view. The authors present an operant model in which learning spatial features competes with geometry learning, as in the Rescorla–Wagner…
indicated is made of 4ksi concrete and carries three #9 rebars of fy=60ksi. Note that geometry offers itself for calculations regarding the Compression, the lever-arm, and the depth of a. ^å~äóëáë=çÑ=oÉáåÑçêÅÉÇ= `çåÅêÉíÉ=_É~ãë Calculation of a beam’s moment capacity: The triangular beam indicated is made of f`c=4ksi concrete and carries three (3) #9 rebars of fy=60ksi. Note that geometry offers itself for calculations regarding the Compression, the lever-arm, and the…
A. Aquino VI° GME.Tr. Generally speaking, some of these angles were taken from Pythagoras, who talked in terms of the significance of 'numbers" rather than "angles. From my readings on the subject, I am convinced that Plato's discourses upon geometry and the significance of the various "Platonic solids" are essentially taken from Pythagoras' work, just as Pythagoras came up with these notions following his lengthy stay in Egypt as a priesthood initiate. Fascinating how these "trails" just…
Chem 220 Notes Page 1 Ch. 01 and 02: Structure and Bonding of Organic Molecules I. Types of Chemical Bonds A. Why do atoms forms bonds? Atoms want to have the same number of electrons as the nearest noble gas atom (noble gas configuration). This requires having a completely full or completely empty valence shell of electrons. Most main groups atoms will try to have eight valence electrons to completely fill their valence shell; this is the octet rule. There are some exceptions: hydrogen…
When it comes to Euclidean Geometry, Spherical Geometry and Hyperbolic Geometry there are many similarities and differences among them. For example, what may be true for Euclidean Geometry may not be true for Spherical or Hyperbolic Geometry. Many instances exist where something is true for one or two geometries but not the other geometry. However, sometimes a property is true for all three geometries. These points bring us to the purpose of this paper. This paper is an opportunity for me to…
division work in the major. For more information regarding this major and UCLA's transfer selection process, visit www.psych.ucla.edu and www.admissions. ucla.edu. NOTE _____: If your college does not offer a two semester sequence in calculus-based physics, it is recommended that you complete Physics 6ABC at UCLA after you transfer. PLEASE NOTE: The community college courses listed below have been approved to satisfy the preparation requirements for this major at UCLA, but they ___ not be exact equivalents…
(As long as you used the hydrocarbons mw you got for part d you should get full credit) f) the CO2 reacts with H2O to form H+ and HCO3-, pH < 7 3) a) products - reactants = 127.2 b) bonds broken (reactants) - bonds formed (products) = 49 (note that some students do this in reverse and get -49, the answer is definitely +49) c) temp goes down because + delta H means endothermic (if you got -49 for part b you should get the credit if you put temp goes up because - delta H means exothermic)…
C H A PT E R 1 Calculator Notes for the TI-Nspire and TI-Nspire CAS Note 1A: Reentry If you are not currently in the Calculator application, press c and choose Calculator. Evaluate an expression. To perform an operation on the result of the expression you just evaluated, press any mathematical operation key and type an expression. The result of the previously evaluated expression will appear as “Ans” until you press ·. You can enter the previous line into an expression by pressing /-…
authentic originals, including 'The Elements'. ‘The Elements’ was finished around 300BCE in Alexandria. The historical significance of the epoch-making masterpiece is, in geometry, it sets an earliest model of the method using axiomatic deductive mathematical system. In ‘The Elements’, Euclid apply logical chain to expand whole geometry. At first, he made the appropriate selection of axioms and postulates, which are very difficult tasks, requiring extraordinary judgment and insight, and no one have…