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Topic: Congruence

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	Congruence - Wikipedia, the free encyclopedia
		Congruence, as opposed to equivalence or approximation, is a relation which implies a kind of equivalence, though not complete equivalence.
		An alternative definition of congruence in the work of Virginia Satir, one of the sources of NLP, is the balance between self, other and context.
		In cladistics, congruence is a test of homology, or shared, derived character states, in which the distributions of supposed homologies among taxa are compared for consistency.
	en.wikipedia.org /wiki/Congruence (270 words)

	Alfred North Whitehead: The Concept of Nature: Chapter 6: Congruence (Site not responding. Last check: 2007-10-15)
		The equality of the numerical measures and the congruence of the two segments are not always clearly discriminated, and are lumped together under the term equality.
		Thus immediate judgments of congruence are presupposed in measurement, and the process of measurement is merely a procedure to extend the recognition of congruence to cases where these immediate judgments are not available.
		Congruence depends on motion, and thereby is generated the connexion between spatial congruence and temporal congruence.
	spartan.ac.brocku.ca /~lward/Whitehead/Whitehead_1920/White1_06.html (6039 words)

	Congruence Theory Explained--CSD, UC Irvine
		This theory may be called "congruence theory." It has been elaborated several times, in numerous ways, since its first statement, but has not changed in essentials.1 I do not want to explain and justify the theory in all its ramifications here; for this, readers can consult the publications cited in the references.
		Thus Norway, as it should have, displayed congruence in almost an ideal way for the functioning of democracy: high similarity of authority patterns, the general existence of balanced disparities and of similarly balanced disparities in authority patterns, and a particular mix of democratic and nondemocratic traits that was bound to limit perceptions of dissonance.
		Congruence theory implies that new institutions must be designed at least in a way that does not dramatically violate the congruence condition--in other words, that adapts in some degree to the preestablished order.
	www.democ.uci.edu /publications/papersseriespre2001/harry2.htm (11581 words)

	SparkNotes: Congruence: Terms
		Congruent Triangles - Triangles whose corresponding angles and sides are all congruent.
		SAS - A method for proving congruence or similarity of triangles: if two sides are congruent or proportional and their included angle is congruent to their corresponding parts of another triangle, then the triangles are congruent or similar, respectively.
		Similar Triangles - Triangles whose corresponding angles are congruent and whose corresponding sides are proportional.
	www.sparknotes.com /math/geometry2/congruence/terms.html (330 words)

	Congruence \| Vocational and Rehabilitation Psychologists \| Home
		Congruence Pty Ltd is a consultancy specialising in the development of psychological assessment tools for use in the career development and life transition of individuals and groups in counselling, educational organisational and rehabilitation contexts.
		Dr Robert Pryor is the Director of Congruence.
		At the most recent Australian Association of Career Counsellors Conference Dr Robert Pryor, the Director of CONGRUENCE was an Invited Keynote Speaker...
	www.congruence.com.au (219 words)

	Proofs Using Congruence
		If all the angles of one triangle are congruent to the corresponding angles of another triangle and the same can be said of the sides, then the triangles are congruent.
		But congruence is used for figures, that is sets of points such as: angles, segments, triangles, and circles with the same shape and size.
		For example, in proving base angles of an isosceles triangle are congruent, we draw a segment extending from the vertex to the base such that the angles formed are congruent (vertex angle bisector) so that we can use SAS in proving the base angles are congruent.
	www.andrews.edu /~calkins/math/webtexts/geom05.htm (2213 words)

	Congruence
		In Mathematics, if two figures are congruent and you cut one figure out with a pair of scissors, it would fit perfectly on top of the other figure.
		When you are looking at congruent figures, be sure to find the sides and the angles that "match up" (are in the same place) in each figure.
		In congruent figures, these corresponding parts are also congruent.
	regentsprep.org /Regents/math/congruen/Lcongruent.htm (234 words)

	Congruence Main (Site not responding. Last check: 2007-10-15)
		As specialists in soft skills (non-technical) Training, the Congruence Group has established partnerships with leading South African and international organisations since 1995.
		Congruence Training (Pty) Ltd is accredited through the Service Seta, #0552/04/04/05 and has a team of qualified subject-specialist facilitators, assessors and moderators.
		Congruence Consulting (Pty) Ltd provides human resources Consulting Services and Executive Coaching, corporate team building and a sophisticated online organisational climate audit called the Attitude Barometric Survey.
	www.congruence.co.za /main.asp (190 words)

	Lesson 5.2: Congruence Classes (Site not responding. Last check: 2007-10-15)
		We denote the congruence class modulo a as [a].
		Note also that the congruence class [0] could also be represented by [3] or [6] since these integers also appear in the set.
		In general, there are m congruence classes modulo m: [0], [1], [2],..., [m-1].
	math.usask.ca /encryption/lessons/lesson05/page2.html (330 words)

	Congruentie - Congruence
		Congruence arithmetic is perhaps most familiar as a generalization of the arithmetic of the clock.
		Congruences satisfy a number of important properties, and are extremely useful in many areas of
		Hardy, G. and Wright, E. "Congruences and Classes of Residues," "Elementary Properties of Congruences," "Linear Congruences," "General Properties of Congruences," and "Congruences to Composite Moduli." §5.2-5.4 and Chs.
	users.skynet.be /fa956617/math/topics/Congruence.html (445 words)

	Math 252: Congruence Subgroups
		This is the so-called "congruence subgroup problem." According to this MathSciNet review, if p is a prime, then every finite index subgroup of SL [1/p]) is a congruence subgroup, and for any n>2, all finite index subgroups of SL) are congruence subgroups.
		This paper by Hsu contains an algorithm to decide if a finite index subgroup is a congruence subgroup, and gives an example of a subgroup of index 12 that it is not a congruence subgroup.
		The missing cusps are in bijection with the orbits of the action of the congruence subgroup on P
	modular.fas.harvard.edu /edu/Fall2003/252/lectures/09-19-03 (839 words)

	Congruence (geometry) - Wikipedia, the free encyclopedia
		Usually it is sufficient to establish the equality of three corresponding parts and use one of the following results to conclude the congruence of the two triangles.
		The shape of a triangle is determined up to congruence by specifying two sides and the angle between them (SAS), two angles and the side between them (ASA) or two angles and an adjacent side (AAS).
		It is often said that to remember that the "SSA" does not work, all you have to do is spell it backward.
	en.wikipedia.org /wiki/Congruence_(geometry) (613 words)

	The Congruence Model (Site not responding. Last check: 2007-10-15)
		The Congruence Model is a brief therapy model based on the Framework of Systemic Organization for families who have a member in substance abuse treatment.
		The goal is to strengthen the family and get it ready to receive the rehabilitated member back into the family.
		The Manual "Enhancing Families with the Congruence Model: A Counseling/Education Approach" includes a step-by-step description of the therapeutic process, the content of all sessions, the assessment instruments with scoring instructions and the treatment record forms.
	www.fiu.edu /~friedemm/congruencemodel.htm (230 words)

	Congruence, Inc > Home
		Congruence, Inc. is a LEADERSHIP ADVISORY FIRM dedicated to advancing the selection, readiness and results of Professional Service Firms.
		We listen, question, affirm, and challenge leaders to grow themselves, their people, and their business results.
		When it’s a question of finding, retaining and advancing leadership in your organization, contact Congruence to discuss how we can help you.
	www.congruence-inc.com (201 words)

	Triangle Congruence Theorems
		The Triangle Inequality and the Side-Side-Side Triangle Congruence Theorem.
		If two triangles have two sides and the included angles equal, respectively, then the triangles are congruent.
		So two triangles with two sides and a non-included angle equal may or may not be congruent.
	www.math.csusb.edu /courses/m129/tri_congr.html (1000 words)

	Illuminations: Congruence Theorems
		In this investigation, you can explore the conditions that guarantee uniqueness of a triangle, quadrilateral, or pentagon regardless of location or orientation.
		Knowing all three sides of a triangle determines the triangle uniquely, yet knowing all four sides of a quadrilateral does not.
		Side-Side-Side is an example of a congruence theorem for triangles.
	illuminations.nctm.org /tools/tool_detail.aspx?id=4 (421 words)

	Math Forum - Ask Dr. Math Archives: Triangle Congruence
		I don't understand how to tell if two triangles are congruent.
		Why can't you conclude that two triangles are congruent when side-side-angle are congruent?
		The Math Forum is a research and educational enterprise of the Drexel School of Education.
	mathforum.org /library/drmath/sets/select/dm_tri_congruence.html (169 words)

	Definition of congruence - Merriam-Webster Online Dictionary
		1 : the quality or state of agreeing, coinciding, or being congruent
		2 : a statement that two numbers or geometric figures are congruent
		Get the Top 10 Search Results for "congruence"
	www.m-w.com /cgi-bin/dictionary?congruence (32 words)

	AMCA: Congruence-preserving extensions of lattices by E. Tamas Schmidt
		If L is a sublattice of K, we call K an extension of L. If K is an extension of L, \Theta is a congruence of L, and \phi is a congruence of K, then \Phi is an extension of \Theta to K iff the restriction of \Phi to L equals \Theta.
		A lattice L is sectionally complemented if for every b >= a in L, there is an element c that is the complement of a in the interval [0, b].
		The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Mathematical Conference Abstracts.
	at.yorku.ca /c/a/g/l/09.htm (510 words)

	cong (Site not responding. Last check: 2007-10-15)
		Geometrical figures are said to be congruent if they are the same in shape and size.
		Two triangles are congruent if they have the relations listed below.
		Two pairs of congruent sides and one pair of congruent angles (angle between sides)
	www.ies.co.jp /math/products/geo1/applets/cong/cong.html (131 words)

	Congruence modulo n
		Rather than say the integers i and j are equivalent we say that they are congruent modulo n which, symbollically, is written as
		The set of class representatives is called a
		(mod 5) (since 13 is congruent to 3 mod 5 as is 73; 3 added to 3 is 6 which is congruent to 1 mod 5).
	www.math.csusb.edu /notes/rel/node4.html (571 words)

	Relations and sizes - Congruent figures - First Glance (Site not responding. Last check: 2007-10-15)
		Relations and sizes - Congruent figures - First Glance
		Two polygons are congruent if they are the same size and shape - that is, if their corresponding angles and sides are equal.
		Move your mouse cursor over the parts of each figure on the left to see the corresponding parts of the congruent figure on the right.
	www.math.com /school/subject3/lessons/S3U3L1GL.html (57 words)

	Zeller's congruence (Site not responding. Last check: 2007-10-15)
		Definition: An algorithm to find the day of the week for any date.
		Dr J R Stockton's Zeller's congruence, for day-of-week (Pascal, JavaScript).
		Paul E. Black, "Zeller's congruence", in Dictionary of Algorithms and Data Structures [online], Paul E. Black, ed., U.S. National Institute of Standards and Technology.
	www.nist.gov /dads/HTML/zellersCongruence.html (121 words)

	Geometry: The Complete Course - Lesson 9: Congruence of Triangles (Site not responding. Last check: 2007-10-15)
		Currently, there are no user reviews for Geometry: The Complete Course - Lesson 9: Congruence of Triangles.
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	www.rottentomatoes.com /m/geometry_the_complete_course_lesson_9_congruence_of_triangles/reviews_users.php (340 words)

	Geometry: The Complete Course - Lesson 9: Congruence of Triangles DVD Features (Site not responding. Last check: 2007-10-15)
		Geometry: The Complete Course - Lesson 9: Congruence of Triangles DVD Features
		Geometry: The Complete Course - Lesson 9: Congruence of Triangles (2000)
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