Angle is the figure formed by two rays‚ called the sides of the angle‚ sharing a common endpoint‚ called the vertex of the angle. Angles are usually presumed to be in a Euclidean plane‚ but are also defined in non-Euclidean geometry. Angle is also used to designate the measure of an angle or of a rotation. This measure is the ratio of the length of a circular arc to its radius. In the case of an angle (figure)‚ the arc is centered at the vertex and delimited by the sides. In the case of a rotation
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“There are no absolute distinctions between what is true and what is false”. Discuss this claim. Theory of Knowledge Name: XXXXXXX Instructor: XXXXXXX IB Candidate Number: XXXX-XXX May 2011 Word count: 1407 There is a small shudder that crawls through my spine whenever someone claims that they are in the search of an “absolute truth”; If the claim is not confined within the realm of mathematics‚ it makes even less sense to be able to claim such truth. An absolute is a statement that claims to
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Performance Task in GEOMETRY * Computation of the surface area‚ amount and type of needed material and the volume of the package. Volume V= L x H x W = (23 cm) (4 cm) (12cm) = (276) (4) = 1 104 cm Area A= L x W = (23cm) (12cm) = 276cm Surface Area A= 2(Lh) + 2(Lw) + 2(Wh) / 2( lh + lw + wh) = 2(23*4) + 2(23*12) + 2(12*4) = 2(92) + 2(276) + 2(48)
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Throughout The secret lives of Sgt. John Wilson‚ the main character John is a very manipulative person. He lies to everyone around him to cover up previous lies that he’s told. John may not intentionally lie‚ but since he constantly lies it comes naturally to him. From the beginning of Wilsons first marriage to Polly‚ Polly’s family figures out what kind of man Wilson really is. Polly never caught on to Johns lying‚ “Polly’s family noticed Jack’s [John’s] tendency to lie when it suited his purposes
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The Handmaid’s Tale by Margaret Atwood Gloria Majka Just because life seems simpler‚ does not mean it is in any way easier. The manipulative changes in society and culture that Offred‚ the main character‚ had to adjust to did not‚ for some‚ do the justice it was intended to perform. Lives were simplified in the view of society. Women were designated to either be a handmaid‚ designated child bearers‚ Marthas‚ household servers‚ or the wives of commanders. Offred was a handmaid‚ and for her position
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Geometry Definitions‚ Postulates and Theorems Definitions Name Complementary Angles Supplementary Angles Theorem Vertical Angles Transversal Corresponding angles Same-side 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
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The Bronx Science Geometry Teachers Proudly Present… THE (ULTIMATE) GEOMETRY REVIEW SHEET (2012 Edition) Some General Information The Regents Exam Basics: Time: 3 hours Problems: 38 ● Part I: 28 multiple choice problems (2 pts each) = 56 pts ● Part II: 6 short answer problems (2 pts each) = 12 pts ● Part III: 3 short answer problems (4 pts each) = 12 pts ● Part IV: 1 long answer problem (6 pts each) = 6 pts ● Total: 86 pts
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ACKNOWLEDGEMENT subcontinent is the Indus Valley Civilization that flourished between 2600 and 1900 BC in the Indus river basin. Their cities were laid out with geometric regularity‚ but no known mathematical documents survive from this civilization. The oldest extant mathematical records from India are the Sulba Sutras (dated variously between the 8th century BC and the 2nd century AD)‚ appendices to religious texts which give simple rules for constructing altars of various shapes‚
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Geometry Final Exam Review #1 Semester 2 Name:________________________ Hour:_______ GEOMETRY SEMESTER 2 FINAL REVIEW #1 1. The ratio of the side lengths of ΔOMN to ΔHGI is 4:3. Find x and y. 2. Find f. 3. The triangles are similar. Which choice below is NOT a correct statement? (A) B F (B) ΔBAC~ΔFDE BA FE (C) BC FD AC BC (D) DE FE (E) A D 4. Which of the following statements is not true? (A) ΔABC ~ ΔEDC by SAS~ (B) ΔABC ~ ΔEDC by AA~ (C) ΔABC ~ ΔEDC by SSS~ (D) ΔCDE ~ ΔCBA by SAS~
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Geometry Notes Second Semester I. Area‚ Surface Area and Volume & Circumference Circumference is the linear distance around the outside of a circular object. • C = π • d or π • 2r. • d = diamater or (radius • 2) • r = radius II. Perimeter Perimeter is the distance around a figure. * It is found by adding the lengths of all the sides. * Finding perimeter on the coordinate plane may require the use of the distance formula: (2 x width) + (2 x height) III. Regular Polygon • A regular
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