Which answers are examples of deductive reasoning? Select each correct answer. [ ] The fair charges $5 for admission. Tom is going to the fair today. Therefore, Tom will spend $5 for admission to the fair today. [ ] Cathy is a good singer. Therefore, Cathy's sister is a good singer. D For the past 2 years, 6 inches of snow fell in December. Therefore, 6 inches of snow will fall this December. The radius of a circle is one-half the length of the diameter of a circle. The diameter of a circle is 10 ft. Therefore, the radius of the circle is 5 ft. Use the law of syllogism to form a conclusion from the given premises. Premise 1: If a polygon undergoes a rigid transformation, then the image is congruent to its pre-image. Premise 2: If an image is congruent to its pre-image, then the image and pre-image have equal perimeters. Select from the drop-down menus to correctly complete the conclusion. Conclusion: It Choose... v , then Choose... v . Conclusion: If Choose... Choose... a polygon undergoes a rigid transformation an image and pre-image have equal perimeters an image is congruent to its pre-image a figure is a polygonthen Choose... Choose... a polygon undergoes a rigid transformation the image and pre-image have equal perimeters the image is congruent to its pre-image the figure is a polygonWhich statement about the argument is true? Argument: If Susan does not get enough sleep, she will be tired. Susan did not get enough sleep. She will be tired. O The argument is valid by the Law of Detachment. O The argument is valid, but does not follow the Law of Syllogism or the Law of Detachment. O The argument is invalid. O The argument is valid by the Law of Syllogism.Which answers are examples of the Law of Syllogism? Select each correct answer. I will meet my friends at the park if I complete my chores. If I meet my friends at the park, we will go to the duck pond. O Therefore, if I complete my chores, we will go to the duck pond. O All mammals have kidneys. A dog is a mammal. Therefore, a dog has kidneys. O If a book is a biography, it is nonfiction. Bill is reading a biography. Therefore, the book that he is reading is nonfiction. If Bob reads the book, then he will be prepared for the test. If Bob is prepared for the test, then he will get a good grade. O Therefore, if Bob reads the book, he will get a good grade.Which answers are examples of the Law of Detachment? Select each correct answer. i i If an object is a square, it is a parallelogram. The object is a square. The object is a parallelogram. If two angles are linear pairs, the angles are supplementary. The two angles are linear pairs. Therefore, the angles are supplementary. If it is snowing, the play will be cancelled. lfthe play is cancelled, the theater will refund the cost of admission. Therefore, if it is snowing, the theater will refund the cost of admission to the play. i i If it is snowing, the play will be cancelled. It is snowing. Therefore, the play is cancelled