PPT-2.5 Proving Statements about Line Segments

Theorems are statements that can be proved Theorem 21 Properties of Segment Congruence Reflexive AB AB All shapes are to them self Symmetric If AB CD then CD AB. 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 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 (. Prof. Andy Mirzaian. Intersections. TOPICS. Line Segments Intersections. Planar Subdivision. Thematic Map Overlay. Line Segments Intersections. . Thematic Map Overlay. Photos courtesy of . ScienceGL. : . Digital . convexity and digital segments. p. q. G. oddess . of fortune . smiles again. Problem. We are in the digital world, and digital geometry is important. How to formally consider “convexity” in digital world. Prof. Andy Mirzaian. More Geometric. Data Structures:. Windowing. References. :. . [M. de Berge et al] chapter 10. Applications. : . Windowing Queries. Vehicle navigation systems. Geographic Information Systems. If . it is noon in Georgia. ,. then . it is . 9. . A.M.. in California. .. hypothesis. conclusion. In this lesson you will study a type of logical statement called a . conditional statement. . A conditional statement has two parts, a . 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. 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. Postulates. Postulate: a rule that is accepted without proof. Theorem: a rule that can be proved. Postulate 1 – Ruler Postulate. . The points on a line can be matched one to one with the real numbers. The real number that corresponds to a point is he coordinate of the point.. Line. Line- a straight path that goes in two directions without ending.. A. B. AB. Read: “Line AB”. Ray. A ray has one end point and goes on forever in only one direction.. CD. Read: “Ray CD”. Look for the similar Triangles. Parallel Lines and Transversal. Alternate interior angles are congruent if the lines are parallel. Corresponding angles are congruent if the lines are parallel. Could use SSI to prove lines parallel. Measuring Segments. Students will be able . to:. Measure . and compare lengths of . segments using ruler. . . . Key Vocabulary. Line Segment. Distance/length. congruent segments. Segment bisector. Wenk. Line Segment Intersection. Michael Goodrich. Univ. of California, Irvine. 2. Geometric Intersections. Important problem in Computational Geometry. Solid modeling: Build shapes by applying set operations (intersection, union)..