PPT-Proving Statements in Geometry

What is a Proof A written account of the complete thought process that is used to reach a conclusion Each step is supported by a theorem postulate or definition What is in a Proof A statement of the original problem. These three techniques are used to prove statements of the form If then As we know most theorems and propositions have this conditional form or they can be reworded to have this form Thus the three main techniques are quite important But some theo The algorithm is an improved version of the bakery algorithm It is specified and proved correct without being decomposed into indivisible atomic operations This allows two different implementations for a conventional nondistributed system Moreover t We particularly focus on types of processes that might be induced by certain uses of tools available in Cabri Building on the work of Arzarello Arzarello et al 1998 and Olivero 1999 2002 we have conceived a model describing some cognitive processes com Abstract This paper describes some results of a research stu dy on conjecturing and proving in a dynamic geometry environment DGE and it focuses on parti cular cognitive processes that seem to be induced by certain uses of tools available in Cabr Jeff Craven, Marcia Cronce, and Steve Davis. NOAA/NWS Milwaukee-Sullivan WI. 7. th. GOES Users’ Conference (GUC. ) Oct 20. th. 2011. 2010 CIMSS MKX GOES-R Proving Ground. May to August 2010. 27 CIMSS GRPG shifts scheduled (. Maria alessandra Mariotti!! Universitˆ degli Studi di Siena & University of New Hampshire !! Research has shown that the tools provided by dynamic geometry systems impact students 1 This research was supported by NSF Grant 9720359. P. Brusilovsky et al. (Eds.): UM2003, LNAI 2702, pp.373-377, 2003 Drawings 1 - 2. #1. Perpendicular to a line. #2. Skew lines and transversal. Drawings 3 - 4. #3. Parallel lines and transversal. #4. Marking congruent angles. Drawings 5 - 6. #5. Acute angles. #6. Obtuse angles. Ms. Andrejko. Vocabulary. Included side-. the side located between two consecutive interior angles of a polygon. Real-World. Postulates/Theorems/Corollaries. P 4.3:. If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent. Reflections, Rotations , Oh My!. Janet Bryson & Elizabeth Drouillard. CMC 2013. What does CCSS want from us in High School Geometry?. The expectation . in Geometry . is to understand that . rigid . Theorems are statements that can be proved. Theorem 2.1 Properties of Segment Congruence. Reflexive AB . ≌. AB . All shapes are . ≌. to them self. Symmetric If AB . ≌. CD, then CD . ≌. AB. Geometry in Nature is Everywhere. Proportions of the human body. In the shape of a shell. .. .. . .. . The bees make their hives into regular hexagons. Honeycomb. The following slides are some more examples of geometry in nature. x. .. 1. 2.. 3. 4.. February 6, 2017. Geometry . 8.2 Proving Triangle Similarity by . AA. 1. 8.2 Warmup. Find the indicated measure in . . JKLM. .. 1.. . ML . . . 2. .. MJ . 3. .. JN . L OF SCIENTIFIC & TE CHNOLOGY RESEARCH VO LUME 6, ISSUE 03, MA RCH 2017 ISSN 2277 - 8616 129 IJSTR