Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN: 9781337614085
Author: Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher: Cengage,
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Euclidean Geometry
Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) ge…
Lines and Angles
In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.
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9. Rectangle ABPQ is drawn with the following conditions. Points A and B are on the x-axis. 10.1 (0,8 ie)-8-x2 Points P and Q are on the graph of y 8-x r.) -x, 8-x Write an expression for each of the following in terms of x: Length (the distance from P to Q: 1 B (x, O X A(-x, 0) 4.24 1 4.24 Width (the distance from P to B: 3.21 Write an expression for the area of the rectangle ABPQ in terms of x. 10. A =L. C-xex 2-X91 Area-2x1 Find the area of the rectangle if the x-coordinate of Point P is 2. No decimal values. 11. x-2h -4592 Find the area of the rectangle if the y-coordinate of Point P is 6. No decimal values. 12. /2x Which rectangle from questions 11 and 12 will have the larger area? Show a mathematical reason for your conclusion. 13. 12 12C)241 Question 12 wilhae 4r the larg Sur dace area + 3 2 44)+32 -10432114
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Transcribed Image Text:9. Rectangle ABPQ is drawn with the following conditions. Points A and B are on the x-axis. 10.1 (0,8 ie)-8-x2 Points P and Q are on the graph of y 8-x r.) -x, 8-x Write an expression for each of the following in terms of x: Length (the distance from P to Q: 1 B (x, O X A(-x, 0) 4.24 1 4.24 Width (the distance from P to B: 3.21 Write an expression for the area of the rectangle ABPQ in terms of x. 10. A =L. C-xex 2-X91 Area-2x1 Find the area of the rectangle if the x-coordinate of Point P is 2. No decimal values. 11. x-2h -4592 Find the area of the rectangle if the y-coordinate of Point P is 6. No decimal values. 12. /2x Which rectangle from questions 11 and 12 will have the larger area? Show a mathematical reason for your conclusion. 13. 12 12C)241 Question 12 wilhae 4r the larg Sur dace area + 3 2 44)+32 -10432114
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