Proof Sheet
Reflexive Property A quantity is congruent (equal) to itself. a = a  Symmetric Property If a = b, then b = a.
Transitive Property If a = b and b = c, then a = c.
Addition Postulate If equal quantities are added to equal quantities, the sums are equal. Subtraction Postulate If equal quantities are subtracted from equal quantities, the differences are equal. Multiplication Postulate If equal quantities are multiplied by equal quantities, the products are equal. (also Doubles of equal quantities are equal.) Division Postulate If equal quantities are divided by equal nonzero quantities, the quotients are equal. (also Halves of equal quantities are equal.) Substitution Postulate A quantity may be substituted for its equal in any expression. Partition Postulate The whole is equal to the sum of its parts. Also: Betweeness of Points: AB + BC = AC
Angle Addition Postulate: m<ABC + m<CBD = m<ABD Construction Two points determine a straight line.

Construction From a given point on (or not on) a line, one and only one perpendicular can be drawn to the line. Right Angles All right angles are congruent.

Straight Angles All straight angles are congruent.

Congruent Supplements Supplements of the same angle, or congruent angles, are congruent. Congruent Complements Complements of the same angle, or congruent angles, are congruent.  Linear Pair If two angles form a linear pair, they are supplementary. 
Vertical Angles Vertical angles are congruent.

Triangle Sum The sum of the interior angles of a triangle is 180º. 
Corresponding Angles If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent. Corresponding Angles Converse If two lines are cut by a transversal and the corresponding angles are congruent, the lines are parallel. Alternate Interior Angles
...a common enough tale; no one would think it a paradox.”
From the very beginning, it is extraordinarily easy to step into the mind of the main character and narrator Manon Guadet and how the world she lives in becomes an eerie reality. Deeper throughout the novel, there are many themes presented through Manon’s eyes. Through the use of many paradoxes, the themes of racism, gender oppression and marriage in Property, by Valerie Martin is ultimately connected with the institution of slavery in America. The aristocratic life of the early 19th century is defined in the use of these themes through the pictures they create. Not only do the themes cause the novel to become so gripping, but the characters help in the suspense as well. Each character is presented to be believable and very developed, adding to the excellent sense of reality that the novel gives off overall. Property captivates its readers and enables them to place themselves within the character and makes it easy to relate to the character’s feelings and emotions.
Valerie Martin’s Novel Property is an immersing and captivating story of Manon Gaudet, the wife of a slave owner and a slave, who is the mistress of the slave owner. The story takes place in the early 19th century deep within slavery, on a sugar plantation in Louisiana. While reading,
the author, Valerie Martin steers you through the lives of both, Manon Guadet and her slave and servant Sarah....
...Step 1
A. EasyBeds is a hotel chain operating in Europe and recently expanded into the Asian market. The last two years it operates a small capacity hotel in Shanghai. The strategy of the business is to provide customers with int’l service standards but at a significantly low cost base. As a result, their competitors are 5* hotels, but the level of their prices are just above 2 to 3* hotels. To manage that they offer their clients only basic services. In addition, their client mix includes both int’l leisure and business travelers.
The purpose of the business is to unveil untapped profit opportunities in the Asian markets. Bill has been recently hired by EasyBeds and his mission is to investigate these opportunities and present them to the Board of Directors at company’s headquarters in London. To do so, he decided to examine closely the situation regarding the hotel in Shanghai, as the company plans to build there a second hotel.
B. Quarterly data provided by the booking system shows that although the hotel was fully booked approx. 50% of each quarter days, it was never actually fully occupied. Apparently, there are a number of customers who book the room but do not show up. Bill thought that by matching demand and supply levels, the hotel could maximize its profits.
He thought the overbooking concept adapted by the airlines industry, as a tool to achieve the goal of profit maximization. He has to analyze the potential implications of the employment of...
...Geometry Definitions, Postulates and Theorems
Definitions Name Complementary Angles Supplementary Angles Theorem Vertical Angles Transversal Corresponding angles Sameside interior angles Alternate interior angles Congruent triangles Similar triangles Angle bisector Segment bisector Legs of an isosceles triangle Base of an isosceles triangle Equiangular Perpendicular bisector Altitude
Definition Two angles whose measures have a sum of 90o Two angles whose measures have a sum of 180o A statement that can be proven Two angles formed by intersecting lines and facing in the opposite direction A line that intersects two lines in the same plane at different points Pairs of angles formed by two lines and a transversal that make an F pattern Pairs of angles formed by two lines and a transversal that make a C pattern Pairs of angles formed by two lines and a transversal that make a Z pattern Triangles in which corresponding parts (sides and angles) are equal in measure Triangles in which corresponding angles are equal in measure and corresponding sides are in proportion (ratios equal) A ray that begins at the vertex of an angle and divides the angle into two angles of equal measure A ray, line or segment that divides a segment into two parts of equal measure The sides of equal measure in an isosceles triangle The third side of an isosceles triangle Having angles that are all equal in measure A line that bisects a segment and is perpendicular to it A segment from...
...Shockley produced a conceptual design based on certain aspects that are considered to have an effect on the auditor’s capability to endure stress. It has been suggested that, given the shut working connection between auditors and customers and the fact that auditors are paid by their customers, it is emotionally impossible for an auditor to be free from prejudice. Numerous aspects of concern have been noted in the literary works for many years.
Shockley’s conceptual design highlighted on recognized mobility because being seen to b impartial is just as essential from the perspective of adding reliability to the subject of the examine as actual mobility. He has given some algebraic equations to explain the functional credibility of the above 8 aspects.
1. Provision of MAS solutions by the auditor:
As the opportunity of the solutions performed for the consumer by the examine organization increases, the connection between control and auditor becomes more close. Shockley’s conceptual design shows both a good and a bad effect of offering these solutions on the auditor’s mobility.
From a good perspective, offering MAS solutions raises the value of the auditor to the consumer because of the valued solutions offered, therefore raising the habit of the consumer on the auditor which in turn creates it much simpler for the auditor to endure stress given by the consumer and prepare mobility.
On the other side, if seen from a bad perspective, supply of MAS solutions raises...
...Koch's Postulates
Introduction
Koch created four guidelines to determine the causal agents of disease in humans, animals, and plants. Koch proved that a diseasecausing agent could be transferred from one organism to another and create the same illness. Isolation of pure cultures and the introduction of the diseasecausing agent to a healthy organism will transmit the disease and infect the inoculated organism. Koch's four guidelines by which one must follow to transmit a disease from an infected organism to a healthy one are as followed:
1. The specific organism should be shown to be present in all cases of animals suffering from a specific disease but should not be found in healthy animals.
2. The specific microorganism should be isolated from the diseased animal and grown in pure culture on artificial laboratory media.
3. This freshly isolated microorganism, when inoculated into a healthy laboratory animal, should cause the same disease seen in the original animal.
4. The microorganism should be reisolated in pure culture from the experimental infection.
In this exercise, Penicillium was utilized, a common, safe, mold. Certain species of Penicillium will spoil fruits, vegetables, grains, and grasses. Other species will ripen various chesses. Still, other species are used in the production of antibiotics. The species of Penicillium, italicum is provided for the lab because of its pronounced hyphae. Penicillium italicum, along with...
...Intellectual Property (IP)
IP as a general term refers to the subject matter of the laws that give rise to proprietary interests in creations of the mind. The various tools of IPR that are used to protect innovations are Copyrights, Industrial Designs, Data Protection, Geographical Indications, Patent and Trademark.
Introduction to Intellectual Property Rights (IPRs)
In earlier times, the concept of property meant something tangible. Man used to be in possession of property and property became a source of wealth and status in society for him. As time went by, property created by the scope of one’s intellect became what is now known as Intellectual property. The problem with Intellectual property was that it was intangible in nature.
The need arose for laws to protect such kind of Intellectual property. Therefore, laws originated to protect the various forms of Intellectual property like trademarks, copyrights, designs, patents and Geographical Indications.
Importance of IPR in current global scenario
It is a wellknown fact that the role of Intellectual Property (IP) protection has expanded at an unprecedented pace during the last two decades. It is the key factor for economic growth and advancement in the high technology sector. They are good for business, benefit the public at large and act as catalysts...
...1 The
Constitution of
2 Liga Filipina
The Constitution of Liga Filipina
Article I: Name of Organization  Liga Filipina
The name Liga Filipina derives its name from the revolutionary group La Liga Filipina, led by Jose Rizal against Spain. It is the Filipino Cultural Organization of the State University of New York at Albany.
Article II: Purpose
A. To promote unity among Filipino students and those interested in Filipino culture.
B. To represent Filipino students in the school and the community through service.
C. To provide members various social activities pertaining to Filipino culture and/or other interests of the members.
D. To promote and encourage interaction and mutual understanding amongst the club’s members.
E. To provide forums for contemporary issues faced by Filipinos and Filipino Americans.
F. To educate and influence the outside community on Filipino culture.
Article III: Membership
A. Any student is eligible for membership including nonFilipinos. The majority of Liga Filipina members will be State University at Albany undergraduate students.
B. Before the first meeting of the academic year, dues for Liga Filipina will be decided by the Executive Board.
Article IV: Organization
A. General Assembly:
1. The General Assembly shall be made up of the members of Liga Filipina.
2. The General Assembly will meet at...
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