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# I'm Back with some Geo/Theory Questions!

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Sorry I left if you noticed.

I was just reeling under homework and stress and stuff.

But my (Math) question is simple:

What is the difference between a theorem and a Corollary?

Like what's the relationship?

According to my teachers:

A corollary is a theorem ++...

IN THEIR OWN WORDS!!!

And I was like:

What is the difference between a theorem and a Corollary?

And they SAID

Like, which way?

Advanced like as a postulate or are they trying to sound fancy?

Could somebody explain it more clearly ???

\(tommarvoloriddle\)

Nov 28, 2019
edited by tommarvoloriddle  Nov 28, 2019
edited by tommarvoloriddle  Nov 28, 2019

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Theorem — a mathematical statement that is proved using rigorous mathematical reasoning.  In a mathematical paper, the term theorem is often reserved for the most important results.

2)Corollary — a result in which the (usually short) proof relies heavily on a given theorem (we often say that “this is a corollary of Theorem A”).

2)Corollary: A statement that follows with little or no proof required from an already proven statement. For example, it is a theorem in geometry that the angles opposite two congruent sides of a triangle are also congruent. A corollary to that statement is that an equilateral triangle is also equiangular.

Nov 28, 2019
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Thank you!!!

But what is your definition of short proof?

Less than 4 steps?

tommarvoloriddle  Nov 28, 2019
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I.E, Corollary comes from Theorems (1 theorem could have more than 5 corollaries) (you could say, corollary is derived from theorem but not the verse)

Corollary is noticed from the theorem , theorem is noticed from a problem (You need a lot of proof for a theorem but no proof or just little for corollary)

Guest Nov 28, 2019
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Yes, just few steps, not hard.

Guest Nov 28, 2019
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Thank you!!!!!!

I get it now!!!

Time to start my finals prep...

T-T

tommarvoloriddle  Nov 28, 2019
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Hi Tom

Nov 28, 2019
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Hi Melody!!!!!!!!!!

tommarvoloriddle  Nov 29, 2019