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
...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...
...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....
...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...
...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...
...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...
...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...
...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...
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