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Q: Which congruence theorems or postulates could be given as reasons why hel and pme?
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Continue Learning about Geometry

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.


Why is goal congruence important to an organization?

so that both the employee and the organization could work efficiently and effectively


What is proven with a geometric proof?

Theorems is what is proven with the geometric proof.


What has been the impact of euclid work?

Euclid is best known for his work titled Elements, a thirteen-volume textbook on the principles of mathematics. They include treatises on plane geometry (a branch of geometry dealing with plane figures), proportion (the relationship among parts), Astronomy (the study of stars, planets, and heavenly bodies), and music. Although no one knows if all of the work in Elements was Euclid's or if he compiled the mathematical knowledge of his colleagues, the work formed an important part of mathematics for 2,000 years. It constituted the simplest of all geometry definitions, theorems and axioms which could be understood by all. Although the definitions, axioms and theorems were very easy, they were very important for the daily use of mathematics.


If two triangles have three pairs of congruent angles the the triangle is congruent?

Yes they are. Or they could have three pairs of congruent sides, or they could have one pair of congruent angles and two pairs of sides. As far as a triangle goes, if you have at least three pairs of congruent sides or angles they are congruent. This answer is wrong. The triangles are only similar. For congruent trisngles we have the following theorems = Side - side - side, Side - Angle - side , Angle - angle - side, Right triangle - hypotenuse - side.

Related questions

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


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]


Does a postulate need to be proved?

yes no. ( a second opinion) A postulate is assumed without proof. Postulate is a word used mostly in geometry. At one time, I think people believed that postulates were self-evident . In other systems, statements that are assumed without proof are called axioms. Although postulates are assumed when you make mathematical proofs, if you doing applied math. That is, you are trying to prove theorems about real-world systems, then you have to have strong evidence that your postulates are true in the system to which you plan to apply your theorems. You could then say that your postulates must be "proved" but this is a different sense of the word than is used in mathematical proving.


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.


Why is goal congruence important to an organization?

so that both the employee and the organization could work efficiently and effectively


What could be the problem when a teenager is not attentive and in his own world and gets angry for simple reasons?

There could be many reasons for this, one is this teenager could be using drugs another could be the teenager has depression.


Unemployment in Texas reasons for denial?

There are a number of reasons why you could be denied for unemployment in Texas. You could for example not qualify because you had a backup job.


Why are women so grouchy?

Hey now, this is a stereotype. Women could be grouchy for many reasons. They might not feel well, they could be angry, frustrated, the reasons could be limitless.


What is proven with a geometric proof?

Theorems is what is proven with the geometric proof.