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Allyson Moore Tawana Poteet Nancy Morton Taylor Lewis Devin Camp Jesus Rivera !!!Looking for Pythagoras!!! !!!TOPIC!!! Locating Points Finding Areas and Lengths The Pythagorean Theorem Using the Pythagorean Theorem Irrational Numbers Rational and Irrational Slopes !!!VOCABULARY!!! Quadrants- 1/4 sections of the coordinate graph Perpendicular Lines- intersect at right angles Hypotenuse-the longest side of a right triangle//the side of the right triangle that is opposites of the right angle Irrational Number- Numbers that can not be written as fractions with a numerator and denominator Perpendicular- meeting at right angles Pythagorean theorem- a statement about the relationship between the lengths of the sides of a right triangle Rational numbers- a number that can be written as a fraction with a numerator and a denominator Real number- the set of all rational numbers and irrational numbers Repeating decimal- a decimal with a pattern of digits that repeats forever Square root- if A=s2, then s is the square root of A. For example, -3 and 3 are square roots of 9 because 3x3=9 and –3x-3=9. Terminating decimal- a decimal that ends Example Problems: 1. How far is it from point A to point E? 8 inches from point A to point E. 2. (1 pg 12) What are the coordinates of the point half way from city hall to the hospital if you are traveling by taxi? Is there more than one answer to this question? Explain (0,-6) Allyson Moore Tawana Poteet Nancy Morton Taylor Lewis Devin Camp Jesus Rivera 3. (#2) What are the coordinates of the point half way from city hall to the hospital if you are traveling by helicopter is there more than one answer for this question? Explain (0,-3) (#3a) 4. Which landmarks on the map are 7 blocks from city hall by car? (CEMENTERY) (Pg. 13/#6) 5. 11 the points (3,3) and(2,6) are two vertices of the right triangle. (A)list at list 3 points that could be the third vertex (1,1) (4,2) (2,3) . 6. If the distance from HOME to FIRST is 90’ and the distance from FIRST to SECOND is 90’, using Pythagoras theory, how far is it from HOME to SECOND? 180 FEET 7. Scott, a freshman at Michigan state university, needs to walk from his dorm room in Wilson hall to his math class in well hall. Normally he walks 500 meters east and 600 meters north along the sidewalk, but today he is running late. He decides to take the shortcut through the tundra. A.(781.02) 8. At Error’s evergreen farm, the taller trees are braced by a wire extending from 2 feet below the top of the tree to a stake in the ground. What is the tallest tree that can be braced with a 25-food wire staked 15 feet from the base of the tree? (29.1 feet) Allyson Moore Tawana Poteet Nancy Morton Taylor Lewis Devin Camp Jesus Rivera