How do you prove postulates are true?

Question

Geometry

Three pairs of corresponding sides are congruent if s.s.s (side.side.side) is congruent to s.s.s (side.side.side).,Are the triangles are congruent?

Answer 1

you don't have to prove postulates because they are already true without any proves.

for ex:
if A besect BC, then AB = AC.

This is already true.

Answer 2

You cannot prove a true Postulate. A true postulate is accepted as true without proof because it is self evident. it would be nice if there were no postulates, because there is always the chance that the postulate you have accepyted as true without proof could. in some cases, befound to be untrue.

The primary Geometry postulates are:
(1) It is possible to draw a straight line, and only one straight line, between two points.
(2) It is possible to extend a finite straight line in a continuous straight line.
(3) It is possible to draw a circle with a given center and a given radius.
(4) If a line falls on two other lines such that the sum of the interior angles on the same side of the line are less than 180 degrees, then the two lines will eventually intersect on the side of the line where the sum of the interior angles is less than 180 degrees.

These are the only postulates accepted as true without proof.

However, many geometry text books state postulates that are really theorems that have bee proven thousands of years ago. Examples are SSS, ASA, SAS theorems for triangle congruence, The sum of any two sides of a triangle must be greater than the third side, the radius drawn to the point of tangency is perpendicular to the tangent at that point, etc,etc,etc.

So many Postulates in today's Geometry text books are not postulates at all. They are theorems that can be and have been proven years and years ago.

Suggest you look up Euclid's Elements on internet.

Answer 3

Postulates are true for any data in geometry because if you do with any example it is proved without the help of postulate as with A+B= B+A and A*B=B*A. So finally they have taken some set of standards and they are called as postulates which doesnt require any proof which also shortens in prooving other examples with the help of these postulates.

Answer 4

Trick question?

Postulates are true by definition. You do not prove them. If a statement can be proven from other true statements, then it is a theorem, not a postulate.

Answer 5

beware! Technically, a theorem is a fact that HAS BEEN shown utilising postulates, definitions, and different theorems. till it is shown, you may no longer use it to instruct different theorems. If it is not yet shown, it is a hypothesis or a proposition.

Answer 6

Postulates are statements that are given to us as true, and we accept them as fact, but cannot be proven.

Answer 7

Postulates are certain asumptions in mathamatics and therfore cannot be proven.