I still don't get the SSS, ASA, SAS geometry postulates. Help?

Question

Thanks.

Answer 1

hey its easy sis..just focus on the triangles and u willll get it..

ASA means..2 angles and the incuded side between the angles.
SSS means all threes sides
SAS is means 2 sides and the angle between them.

Answer 2

SSS,ASA,and SAS are used to prove two triangles are congruent to each other.

What you look at is either the three sides of the triangle (SSS), a side and the two angles next to it (ASA), or two sides with the angle in between(SAS).

If the three measurements are congruent to each other than you can state that the triangles are congruent to each other.

For example: triangle 1 has sides A, B, and C.
Triangle 2 has sides X, Y, and Z.
If A is congruent to X, B is congruent to Y, and C is congruent to Z then you may state that triangle 1 is congruent to triangle 2 by SSS postulate.

Answer 3

Well, in the first place, SSS, asa, and AAA are not postulates. They are theorems that were proved by Euclid over 2000 years ago. A postulate is something that is so obvious that it is accepted as true without proof. Perhaps you should look up Euclid's proofs of these theorems in Euclid's Elements on the internet. I think you would then understand them.

They simply state the conditions that are necessary for two triangles to be congruent. Congruent means that the two triangles have their three sides equal to each other AND their three corresponding angles equal to each other. Congruent triangles are the exact same shape and the exact same size.

Answer 4

SAS (side attitude side) postulate really states that if a triangle has 2 adjoining congruent aspects and a million congruent attitude between those 2 aspects, the completed triangle should be congruent to the different. SSS (side side side) postulate states that if a triangle has 3 congruent aspects, it should be congruent. ASA (attitude side attitude) postulate really states that if a triangle has 2 adjoining congruent angles and a million congruent side between those 2 angles, the completed triangle should be congruent to the different.

Answer 5

If you know three sides, or two angles and one side, or two sides and one included angle for a triangle, then the triangle is well defined, which means if two triangles satisfy the same condition, SSS, ASA or SAS, then the two triangles are congruent.

Answer 6

well, i am just getting done with that in my math class, and this is how the teacher described it, SSS- the Side side, side, a triangle that has the marks of the sides of a triangle and no marks for the angles would be side side side, or if the problem talks about the sides and not angles, and the rest of them are kinda like this one, ASA, and SAS, except that they include angles and sides.
Hope that helps and you should ask your teacher.

Answer 7

These are ways of showing that two triangles are congruent. A picture is worth a thousand words, let me see if I can find some good online explanations with good graphics, maybe even an interactive tutorial.
AAA is similarity but not congruence, and SSA doesn't do it although it seems like it would. Trouble with SSA is it leaves an indeterminate side, as you'll run into a little later on with solving triangles using the law of cosines.
http://www.learning-tools-for-kids.com/congruence-game.html
http://powayusd.sdcoe.k12.ca.us/teachers/smiddleton/Geo/geometry.htm

Answer 8

Ok so triangles that have all sides the same are congruent...duh.
If two angle and the side between them are the same then they trianlges are the same.
Also If two identical sides for an identical angle then the triangles are congruent.

Answer 9

Well, they're just what they say.
-SSS is side, side, side; where you have three sides that you know. -ASA is angle, side, angle; where you have two angle and a side. -SAS is side, angle, side; where you have two sides and one angle. It's not really that hard when you finally understand it. :)

Answer 10

if you found the 3 sides, it is SSS postulate
if you found the Angle-side-angle use ASA
if you found the side-angle-side use SAS