What is an example of deductive reasoning in geometry?
Deductive reasoning in geometry is much like the situation described above, except it relates to geometric terms. For example, given that a certain quadrilateral is a rectangle, and that all rectangles have equal diagonals, what can you deduce about the diagonals of this specific rectangle? They are equal, of course.
* Every time you eat peanuts, you start to cough. You are allergic to peanuts.
* Every cat that you've observed purrs. Therefore, all cats must purr.
* Michael just moved here from Chicago. Michael has red hair. Therefore, all people from Chicago have red hair.
* The children in that house yell loudly when they play in their bedroom. I can hear children yelling in that house. Therefore, the children must be playing in their bedroom.
* Every chicken we've seen has been brown. All chickens in this area must be brown.
Answers & Comments
Explanation:
What is an example of deductive reasoning in geometry?
Deductive reasoning in geometry is much like the situation described above, except it relates to geometric terms. For example, given that a certain quadrilateral is a rectangle, and that all rectangles have equal diagonals, what can you deduce about the diagonals of this specific rectangle? They are equal, of course.
Answer:
* Every time you eat peanuts, you start to cough. You are allergic to peanuts.
* Every cat that you've observed purrs. Therefore, all cats must purr.
* Michael just moved here from Chicago. Michael has red hair. Therefore, all people from Chicago have red hair.
* The children in that house yell loudly when they play in their bedroom. I can hear children yelling in that house. Therefore, the children must be playing in their bedroom.
* Every chicken we've seen has been brown. All chickens in this area must be brown.