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Q: What type of reasoning that is based on definitions postulates and theorems?
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Why do you do proofs in geometry?

You start out with things that you know and use them to make logical arguments about what you want to prove. The things you know may be axioms, or may be things you already proved and can use. The practice of doing Geometry proofs inspires logical thinking, organization, and reasoning based on facts. Each statement must be supported with a valid reason, which could be a given fact, definitions, postulates, or theorems.


Based only on the information given in the diagram, which congruence theorems or postulates could be given as reasons why HIJ KLM (Apex)?

HA AAS


Which type of reasoning is usually based on laws rules principles generalizations or definitions?

Deductive Reasoning


The Method allows you to prove or disprove conjectures by using logic based on definitions and postulates?

axiomatic method


Based only on the information given in the diagram, which congruence theorems or postulates could be given as reasons why LMN OPQ (Apex)?

LA AAS [APEX]


Based only on the information given in the diagram, which congruence theorems or postulates could be given as reasons why DEF KLM (Apex)?

LA and SAS [APEX]


Based only on the information given in the diagram, which congruence theorems or postulates could be given as reasons why DEF JKL (Apex)?

LA ASA AAS [APEX]


Based only on the information given in the diagram, which congruence theorems or postulates could be given as reasons why JKL QRS (Apex)?

LA and SAS [APEX]


When are you ever going to use theorems from geometry?

Geometry has a variety of applications from engineering to the physical sciences. It is also used in construction and art. However, most would probably never use a theorem from geometry directly. So why do we study the theorems of geometry? It has to do with learning to think clearly and critically. Theorems are deduced based on axioms and rules of logic. Learning to prove the theorems or even just understand them can do much to increase your reasoning skills. With better reasoning skills you can distinguish good arguments from bad ones and increase your problem solving ability.


what kind of reasoning can lead to stereotyping if based on too few examples?

Inductive reasoning. :)


What type of scientific reasoning relies on gathering and evaluating evidence?

objective means that you make decisions and draw conclusions based on evidence, subjective means that personal feelings have entered into a decison or conclusion.


What is type of reasoning where conclusions are based on patterns you observe called?

inductive reasoning