Question

geometry
unit 2
lesson 2 homework
name_____________________
date_____________________
period___________________
in questions 1-5, determine the type of reasoning for each statement.

1. in order to participate in school sports, students must have a minimum gpa of a 2.0. jim has a gpa of 2.75, therefore he can participate in school sports.
2. every tuesday that yolanda’s family has visited a specific local restaurant, the kids’ meals have been free. when yolanda’s family visits that restaurant next tuesday, the kids’ meals will be free.
3. a new movie director has grossed over 250 million for each of his first three movies. when his fourth movie is released, it will gross over 250 million.
4. any given number multiplied by one equals itself. if 5 is multiplied by one, it will equal itself.
5. the air conditioner is set to keep a particular home at 72°f and runs off the home’s electricity. during a power outage, the home will not stay at 72°f.

Explanation:

Question 1

There's a general rule (min GPA 2.0 for sports), then a specific case (Jim's GPA 2.75 ≥ 2.0), so we deduce he can participate.

Question 2

Past observations (every Tuesday kids’ meals free) are used to predict a future event (next Tuesday meals free), which is inductive.

Question 3

Three past movies grossed over 250M, so we induce the fourth will too, using past instances for a future prediction.

Question 4

Answer:

Deductive Reasoning