Question 201034This question is from textbook discovering geometry an investigative approach
: 1) Complete the statement of the Overlapping Segments Conjucture: If segment AD has points A,B,C,andD in that order with segment ABcongruent to segment CD, then-----------.
2) Describe a situation inside or outside school in which deductive reasoning was used correctly.
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This question is from textbook discovering geometry an investigative approach
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website!
1) If segment AD has points A,B,C,andD in that order with segment AB congruent to segment CD, then 
2) The cookie jar is empty. Mom says, "Who ate the cookies?" All three kids say, "I didn't." Kid #2 has cookie crumbs on his hands, t-shirt, and around the corners of his mouth. Mom deduces that at least Kid #2 is guilty, but that either one or both of the other two could be guilty as well because they might have had time to wash their faces and hands.
Another example:
Three men are on a train from London to Edinburgh, and the train has just crossed the border between England and Scotland. One man sees a cow out the window. He says, "Look, the cows in Scotland are brown." The second man says, "No, you can't say that. All you can say is that there are cows in Scotland at least one of which is brown." And the third says, "No, you can't say that either. All you can say is that there is at least one cow in Scotland at least one side of which is brown."
The third man is the only one who is using purely deductive reasoning. The first man inferred from the fact that he saw one cow that there must be others and that since the one cow he saw was brown that not only must the other side of the cow be brown but that all other cows in Scotland must be brown. The second man eliminated the inference of one brown cow meaning all cows are brown, but he was still inferring that there must be more cows than the one that can be seen and inferring that because the side that can be seen is brown, that the other side must be brown as well. Only the third guy's assertion is based solely on direct evidence eliminating all inferences.
John
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