By Jacqueline Lelong-Ferrand
Approche axiomatique de l. a. géométrie
* through l. a. constitution vectorielle
* comme constitution d'incidence (à los angeles façon de Veblen & younger)
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Extra resources for Les Fondements de la géométrie
New Vocabulary adjacent angles vertical angles linear pair complementary angles supplementary angles perpendicular Angle Pairs Adjacent angles are two angles that lie in the same plane, have a common vertex and a common side, but no common interior points. Examples Nonexamples ∠ABC and ∠CBD ∠ABC and ∠ABD ∠ABC and ∠BCD Words C D A A C C C D D D B B A B B A shared interior no common vertex Vertical angles are two nonadjacent angles formed by two intersecting lines. Examples Nonexample " ∠AEB and ∠CED ∠AED and ∠BEC ∠AED and ∠BEC % Words A !
AFD 30. ∠EFB 36 Chapter 1 Tools of Geometry ! & " % # $ and YZ are opposite rays. YU bisects ∠ZYW, ALGEBRA In the figure, YX bisects ∠XYW. and YT 31. If m∠ZYU = 8p ‒ 10 and m∠UYW = 10p ‒ 20, find m∠ZYU. Y 12 X 32. If m∠1 = 5x + 10 and m∠2 = 8x ‒ 23, find m∠2. 33. If m∠1 = y and m∠XYW = 6y ‒ 24, find y. T 34. If m∠WYZ = 82 and m∠ZYU = 4r + 25, find r. 35. If m∠WYX = 2(12b + 7) and m∠ZYU = 9b ‒ 1, find m∠UYW. 36. If ∠ZYW is a right angle and m∠ZYU = 13a ‒ 7, find a. Z U W 37. PATTERN BLOCKS Pattern blocks can be arranged to fit in a circular pattern without leaving spaces.
H 7 ft 5 in. J 7 ft 6 in. Refer to the figure at the right. (Lesson 1-1) D 62. Name three collinear points. C 63. Name two planes that contain points B and C. 64. Name another point in plane DFA. F A 65. How many planes are shown? E G B TRAVEL The Hernandez family is driving from Portland, Oregon, to Seattle, Washington. They are using maps to navigate a route. Name the geometric term modeled by each object. (Lesson 1-1) 66. map 67. highway 68. city PREREQUISITE SKILL Evaluate each expression if a = 3, b = 8, and c = 2.
Les Fondements de la géométrie by Jacqueline Lelong-Ferrand