Skills Practice Workbook - Glencoe
Skills Practice Workbook - Glencoe Skills Practice Workbook - 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
- 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 45 and 46: 7-3 NAME DATE PERIOD Skills Practic
- Page 47 and 48: 8-1 Quadrilaterals NAME DATE PERIOD
- Page 49 and 50: 8-3 NAME DATE PERIOD Skills Practic
- 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 75 and 76: 12-4 NAME DATE PERIOD Skills Practi
- Page 77 and 78: 12-6 Spheres NAME DATE PERIOD Skill
- Page 79 and 80: 13-1 NAME DATE PERIOD Skills Practi
- 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 87 and 88: 14-4 NAME DATE PERIOD Skills Practi
- 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
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- Page 99 and 100: 16-4 Reflections NAME DATE PERIOD S
- Page 101: 16-6 Dilations Skills Practice Find
15–2<br />
Deductive Reasoning<br />
NAME DATE PERIOD<br />
<strong>Skills</strong> <strong>Practice</strong><br />
Use the Law of Detachment to determine a conclusion that follows from statements<br />
(1) and (2). If a valid conclusion does not follow, write no valid conclusion.<br />
1. (1) If a figure is a triangle, then it is a polygon.<br />
(2) The figure is a triangle.<br />
The figure is a polygon.<br />
2. (1) If I sell my skis, then I will not be able to go skiing.<br />
(2) I did not sell my skis.<br />
no valid conclusion<br />
3. (1) If two angles are complementary, then the sum of their measures is 90.<br />
(2) Angle A and B are complementary.<br />
The sum of the measures of angles A and B is 90.<br />
4. (1) If the measures of the lengths of two sides of a triangle are equal, then the triangle is<br />
isosceles.<br />
(2) Triangle ABC has two sides with lengths of equal measure.<br />
Triangle ABC is isosceles.<br />
5. (1) If it rains, we will not go on a picnic.<br />
(2) We do not go on a picnic.<br />
no valid conclusion<br />
Use the Law of Syllogism to determine a conclusion that follows from statements<br />
(1) and (2). If a valid conclusion does not follow, write no valid conclusion.<br />
6. (1) If my dog does not bark all night, I will give him a treat.<br />
(2) If I give my dog a treat, then he will wag his tail.<br />
If my dog does not bark all night, then he will wag his tail.<br />
7. (1) If a polygon has three sides, then the figure is a triangle.<br />
(2) If a figure is a triangle, then the sum of the measures of the interior angles is 180.<br />
If a polygon has three sides, then the sum of the measures of the<br />
interior angles is 180.<br />
8. (1) If the concert is postponed, then I will be out of town.<br />
(2) If the concert is postponed, then it will be held in the gym.<br />
no valid conclusion<br />
9. (1) All whole numbers are rational numbers.<br />
(2) All whole numbers are real numbers.<br />
no valid conclusion<br />
10. (1) If the temperature reaches 70°, then the swimming pool will open.<br />
(2) If the swimming pool opens, then we will not go to the beach.<br />
If the temperature reaches 70°, then we will not go to the beach.<br />
© <strong>Glencoe</strong>/McGraw-Hill 86 Geometry: Concepts and Applications
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