ACTIVITY I. Determine whether deductive or inductive reasoning was used on each statement below. Write D for DEDUCTIVE and ID for INDUCTIVE REASONING. 1. 10, 20, 30, 40, 50...The next term is 60. 2. ABCD is a square. A square has four congruent sides. Therefore, AB ВС CD AD. 3. An obtuse triangle has one obtuse angel. Angle B is an obtuse angle in triangle ABC. Therefore, triangle ABC is an obtuse triangle. 4. An eighteen year-old FILIPINO can cast his/her vote in the national election. Julia is 18 years old. Therefore, Julia can cast her vote in the national election. 5. By observing several individual cases, Hailey concluded that dengue was caused by a certain mosquito bite. _6. By using definitions of opposite rays and linear pair, Howard concluded that opposite rays form a linear pair. _7. The product of two odd numbers is an odd number. The numbers 7 and 11 are odd. Therefore, their product is odd. 8. After measuring 10 pairs of vertical angles, Paul concluded that all vertical angles are congruent. 9. Today is April 29, 2021.Tomorrow is April 30, 2021. 10. All acute triangles have 3 acute angles. Triangle PJO is an acute triangle. Therefore, PJ0 has 3 acute angles.

ACTIVITY I. Determine whether deductive or inductive reasoning was used on each statement below. Write D for DEDUCTIVE and ID for INDUCTIVE REASONING. 1. 10, 20, 30, 40, 50...The next term is 60. 2. ABCD is a square. A square has four congruent sides. Therefore, AB ВС CD AD. 3. An obtuse triangle has one obtuse angel. Angle B is an obtuse angle in triangle ABC. Therefore, triangle ABC is an obtuse triangle. 4. An eighteen year-old FILIPINO can cast his/her vote in the national election. Julia is 18 years old. Therefore, Julia can cast her vote in the national election. 5. By observing several individual cases, Hailey concluded that dengue was caused by a certain mosquito bite. _6. By using definitions of opposite rays and linear pair, Howard concluded that opposite rays form a linear pair. _7. The product of two odd numbers is an odd number. The numbers 7 and 11 are odd. Therefore, their product is odd. 8. After measuring 10 pairs of vertical angles, Paul concluded that all vertical angles are congruent. 9. Today is April 29, 2021.Tomorrow is April 30, 2021. 10. All acute triangles have 3 acute angles. Triangle PJO is an acute triangle. Therefore, PJ0 has 3 acute angles.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter2: Parallel Lines

Section2.2: Indirect Proof

Problem 11E: Which of the following statements would you prove by the indirect method? a In triangle ABC, if...

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