Skills Practice Workbook - Glencoe

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$Math Handbook - Glencoe$

15–1 Skills Practice Logic and Truth Tables For Exercises 1–16, use conditionals a, b, c and d. a: A triangle has three sides. b: January is a day of the week. c: 5 � 5 � 20 d: Parallel lines do not intersect. Write the statements for each negation. 1. �a A triangle does not have three sides. 2. �b January is not a day of the week. 3. �c 5 � 5 � 20 NAME DATE PERIOD 4. �d Parallel lines intersect. Write a statement for each conjunction or disjunction. Then find the truth value. 5. a � b A triangle has three sides or January is a day of the week; true. 6. a � b A triangle has three sides and January is a day of the week; false. 7. a � c A triangle has three sides or 5 � 5 � 20; true. 8. a � c A triangle has three sides and 5 � 5 � 20; false. 9. a � d A triangle has three sides or parallel lines do not intersect; true. 10. a � d A triangle has three sides and parallel lines do not intersect; true. 11. b � c January is a day of the week or 5 � 5 � 20; false. 12. b � c January is a day of the week and 5 � 5 � 20; false. 13. b � d January is a day of the week or parallel lines do not intersect; true. 14. b � d January is a day of the week and parallel lines do not intersect; false 15. c � d 5 � 5 � 20 or parallel lines do not intersect; true. 16. c � d 5 � 5 � 20 and parallel lines do not intersect; false. © Glencoe/McGraw-Hill 85 Geometry: Concepts and Applications
15–2 Deductive Reasoning NAME DATE PERIOD Skills Practice Use the Law of Detachment to determine a conclusion that follows from statements (1) and (2). If a valid conclusion does not follow, write no valid conclusion. 1. (1) If a figure is a triangle, then it is a polygon. (2) The figure is a triangle. The figure is a polygon. 2. (1) If I sell my skis, then I will not be able to go skiing. (2) I did not sell my skis. no valid conclusion 3. (1) If two angles are complementary, then the sum of their measures is 90. (2) Angle A and B are complementary. The sum of the measures of angles A and B is 90. 4. (1) If the measures of the lengths of two sides of a triangle are equal, then the triangle is isosceles. (2) Triangle ABC has two sides with lengths of equal measure. Triangle ABC is isosceles. 5. (1) If it rains, we will not go on a picnic. (2) We do not go on a picnic. no valid conclusion Use the Law of Syllogism to determine a conclusion that follows from statements (1) and (2). If a valid conclusion does not follow, write no valid conclusion. 6. (1) If my dog does not bark all night, I will give him a treat. (2) If I give my dog a treat, then he will wag his tail. If my dog does not bark all night, then he will wag his tail. 7. (1) If a polygon has three sides, then the figure is a triangle. (2) If a figure is a triangle, then the sum of the measures of the interior angles is 180. If a polygon has three sides, then the sum of the measures of the interior angles is 180. 8. (1) If the concert is postponed, then I will be out of town. (2) If the concert is postponed, then it will be held in the gym. no valid conclusion 9. (1) All whole numbers are rational numbers. (2) All whole numbers are real numbers. no valid conclusion 10. (1) If the temperature reaches 70°, then the swimming pool will open. (2) If the swimming pool opens, then we will not go to the beach. If the temperature reaches 70°, then we will not go to the beach. © Glencoe/McGraw-Hill 86 Geometry: Concepts and Applications
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Skills Practice Workbook Contents I
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To The Student: This Skills Practic
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Lesson Title Page Lesson Title Page
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1-2 NAME DATE PERIOD Skills Practic
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Page 11 and 12:
Page 13 and 14:
Segments and Properties of Real Num
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Page 23 and 24:
3-7 Perpendicular Lines NAME DATE P
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Page 27 and 28:
4-4 Proving Lines Parallel Find x s
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Page 31 and 32:
5-2 Angles of a Triangle Find the v
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Page 37 and 38:
Page 39 and 40: 6-4 Isosceles Triangles NAME DATE P
Page 41 and 42: 6-6 Skills Practice The Pythagorean
Page 43 and 44: 7-1 NAME DATE PERIOD Skills Practic
Page 47 and 48: 8-1 Quadrilaterals NAME DATE PERIOD
Page 51 and 52: 8-5 Trapezoids NAME DATE PERIOD Ski
Page 53 and 54: 9-2 Similar Polygons Skills Practic
Page 55 and 56: 9-4 Complete each proportion. Skill
Page 57 and 58: 9-6 Skills Practice Complete each p
Page 59 and 60: 10-1 Naming Polygons Identify each
Page 61 and 62: 10-3 Areas of Polygons NAME _______
Page 63 and 64: 10-5 24 in. 12 cm 18 cm 4 ft 2.5 cm
Page 65 and 66: 10-7 Tessellations NAME ___________
Page 67 and 68: 11-2 NAME DATE PERIOD Skills Practi
Page 69 and 70: 11-4 Inscribed Polygons Use �O to
Page 71 and 72: 11-6 Area of a Circle NAME DATE PER
Page 73 and 74: 12-2 Skills Practice Surface Areas
Page 77 and 78: 12-6 Spheres NAME DATE PERIOD Skill
Page 81 and 82: 13-3 Skills Practice 30°-60°-90°
Page 83 and 84: 13-5 Skills Practice Sine and Cosin
Page 85 and 86: 14-2 Skills Practice Tangents to a
Page 89: 14-6 NAME DATE PERIOD Skills Practi
Page 93 and 94: 15-4 Complete each proof. 1. If m
Page 95 and 96: 15-6 Coordinate Proofs Skills Pract
Page 99 and 100: 16-4 Reflections NAME DATE PERIOD S
Page 101: 16-6 Dilations Skills Practice Find
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Skills Practice Workbook - Glencoe

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