false
sss similarity
The SAS theorem is used to prove that two triangles are congruent. If the triangles have a side-angle-side that are congruent (it must be in that order), then the two triangles can be proved congruent. Using this theorem can in the future help prove corresponding parts are congruent among other things.
The Pythagorean Theorem applies only to right triangles. (But they don't prove it.)
to prove two triangles are similar, get 2 angles congruent
false
You would use the AA Similarity Postulate to prove that the following two triangles are similar. True or false?
sss similarity
Here guys Thanks :D Congruent triangles are similar figures with a ratio of similarity of 1, that is 1 1 . One way to prove triangles congruent is to prove they are similar first, and then prove that the ratio of similarity is 1. In these sections of the text the students find short cuts that enable them to prove triangles congruent in fewer steps, by developing five triangle congruence conjectures. They are SSS! , ASA! , AAS! , SAS! , and HL ! , illustrated below.
The SAS theorem is used to prove that two triangles are congruent. If the triangles have a side-angle-side that are congruent (it must be in that order), then the two triangles can be proved congruent. Using this theorem can in the future help prove corresponding parts are congruent among other things.
LEGS
When trying to prove two triangles congruent, you can use SSS, SAS, ASA, AAS, HL, and HA patterns. However, the pattern A S S doesn't work. Instead of spelling or saying this word in class, you can refer to it as "the donkey theorem". You can look at the pattern in the two triangles and say "these two triangles are not congruent because of the donkey theorem." You CANNOT prove triangles incongruent with 'the donkey theorem', nor can you prove them congruent. It's mostly sort of a joke, you could say, but it's never useful. The reason is that if the two triangles ARE congruent, then of course there will be an unincluded congruent angle as well as two congruent sides. The theorem doesn't do anything left, right, forward or backward. It's not even really a theorem. :P
The two legs must be corresponding sides.
The Pythagorean Theorem applies only to right triangles. (But they don't prove it.)
to prove two triangles are similar, get 2 angles congruent
You can't use AAA to prove two triangles congruent because triangles can have the same measures of all its angles but be bigger or smaller, AAA could probably be used to prove two triangles are similar not congruent.
No. You can know all three angles of both and all you can say is that the triangles are similar. Or with any pair of congruent sides you can have an acute angle between them or an obtuse angle.