= JK A is the midpoint of IK . Name: ________________________ ____ ID: A 9. Find the center of the circle that you can circumscribe about the triangle. a. 1 (− ‚ –4) 2 b. (–3‚ −2) c. 1 (− ‚ −2) 2 ____ 10. Where can the bisectors of the angles of an obtuse triangle intersect? I. inside the triangle II. on the triangle III. outside the triangle a. I only b. III only c. I or III only ____ 11. In ∆ACE‚ G is the centroid and BE = 12. Find BG and GE. a. b. BG = 4‚ GE = 8 BG = 3‚ GE = 9 c.
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terms by shweta101 Pythagorean Theorem In a right triangle‚ the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs. (a^2 + b^2 = c^2 (Page 433) Pythagorean Triple A set of 3 positive integers A‚ B‚ and C that satisfy the equation A^2 + B^2 = C^2 [Ex. (3‚4‚5) (5‚12‚13) (8‚ 15‚17) and (7‚24‚25)] (Page 435) Converse of the Pythagorean Theorem If the square of the length of the longest side of a triangle (hypotenuse) is equal to the sum of the squares of the lengths of the
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In mathematics‚ the Pythagorean Theorem — or Pythagoras’ theorem — is a relation in Euclidean geometry among the three sides of a right triangle (right-angled triangle). In terms of areas‚ it states: In any right-angled triangle‚ the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares whose sides are the two legs (the two sides that meet at a right angle). The theorem can be written as an equation relating the lengths
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Conjecture - If a point is on the bisector of an angle‚ then it is equidistant from the sides of the angle. C9- Angle Bisector Concurrency Conjecture - The three angle bisectors of a triangle are concurrent (meet at a point). C10- Perpendicular Bisector Concurrency Conjecture - The three perpendicular bisectors of a triangle are concurrent. C11- Altitude Concurrency Conjecture
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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 that can be proven Two angles formed
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Bethlehem‚ Tennessee on June 23‚ 1940 (Streissguth 4). Wilma was born a sick baby weighing only 4.5 pounds and struggling to breathe. In her early years she also caught many sicknesses for example‚ measles‚ mumps‚ double pneumonia‚ scarlet fever‚ and chickenpox (Streissguth 6 - 8). She also lived in a segregated town so her family was looked down upon and criticized for being black. As a result of this they were poor (Streissguth 4 - 5‚ 6). She also had other difficult hardships. Body Paragraph: Wilma
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American Pandemic In the early years of 1918 through 1920‚ influenza stormed around the world in the worst pandemic in recorded history‚ killing at least fifty million people‚ and more than half a million of them were Americans. Yet‚ despite the devastation‚ many groups of people within the United States handed this epidemic very differently from each other. There were differences between “men as well as women‚ whites as well as people of color‚ middle and upper classes‚ as well as the working
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disappearance is the beginning of realization of the existence of Bermuda Triangle. Over the years‚ there are several theories explaining the disappearances of planes and ships at the Bermuda Triangle. The mystery behind the disappearance of planes and ships at Bermuda Triangle can be cleared explained by the myth of Bermuda Triangle from the locals‚ the natural phenomena that is seldom but possible to occur at Bermuda Triangle and the scientific perspectives that includes the facts and evidences from
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HARMFUL AND DETRIMENTAL EFFECTS IN CELLPHONE USAGE In recent years‚ mobile telecommunication systems have grown significantly‚ to the point where more than a sixth of the world’s population uses mobile phones. By the end of 2004‚ more than a billion subscribers across more than 200 countries were estimated to be using mobile phones The development of mobile communications has moved rapidly. In the 1980s‚ first generation mobile phones‚ using analogue technology‚ allowed the transmission of
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thereafter. He wanted to make sure that he had the evidence that he needed to publish his findings and have them withstand the scrutiny of other scientific minds. When he returned to Africa‚ he conducted an epidemiological study to complete and solidify his findings. Dr. Allison conducted an epidemiological study because in order to find the incidence of sickle cell in Africa‚ he needed to gather data from the actual base of his scientific studies. Only after gathering results from thousands of African Americans
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