Question

how can u tell the difference between a sss or aa or sas triangle from each oher?????

Answer 1

im confused on what you are asking

Answer 2

Do you mean how do you know which one to use?

Answer 3

yes

Answer 4

It depends on the info you are given.
The most important thing is to be familiar with all these methods of proving triangles congruent or similar.

Answer 5

Then when you are given a problem in which you need to prove two triangles congruent or similar, having SAS, SSS, ASA, etc. in the back of your mind, you look at what you are given and what you can come up with based on the given. Then you figure out which method you need to use.

Answer 6

For example, let's go back to a problem similar to your last problem.

Answer 7

yeah

Answer 8

You are asked to prove the triangles similar.
First, you need to recall the methods of proving triangles similar.
SSS Similarity
SAS Similarity
AA Similarity

Answer 9

yeah is there asa?

Answer 10

You have the methods in the back of your mind.
Now you look at your problem.
You are given one pair of congruent angles.
You have no info on side lengths.
Since angle B is an angle in both triangles, and angle B is congruent to itself, now you have two pairs of congruent angles.
Having two pairs of congruent angles seems to indicate you need to use AA Similarity.

Answer 11

oh

Answer 12

There is no ASA for similarity, because once you have the two pairs of congruent angles, you don't need to know anything about sides. For similarity, AA is enough.

Answer 13

why dont they put aaa?

Answer 14

There is no need for AAA either because once two angles of a triangle are congruent to two angles of another triangle, the third angles must be congruent too, so AA is the same as AAA.

Answer 15

oh okay just making sure

Answer 16

As soon as you have two pairs of congruent angles, the triangles are similar. You don't need to know anything about the other pair of angles or any pair of sides.

Answer 17

For example, let's say that in a problem, you are given two sides of a triangle congruent to two sides of another triangle, and you need to prove the triangles congruent.

Answer 18

You immediately start to think.

The methods for proving triangles congruent are:
ASA
SAS
AAS
SSS

Answer 19

oh so they is aas knew i frgot one

Answer 20

Since you have two pairs of congruent sides, it looks likely that a method that uses two pairs of congruent sides will be used.
That means that likely, you will use
SSS or
SAS

Answer 21

To use SSS, do you know anything about the third pair of sides?
If you can conclude the third pair of sides is congruent, you use SSS.

If there is no info on side lengths of the third pair of sides, then look for any info on the angle included by the pairs of congruent sides, and use SAS.

Answer 22

allu u need to know if two side r congruent then the third is right?

Answer 23

Your knowledge of the methods of proving triangles similar or congruent plus the given info should lead you to the correct method of proving the triangles similar or congruent.

Answer 24

oh okay

Answer 25

wait they will ask if its similar or congruent?

Answer 26

If you know two pairs of angles are congruent, automatically, the third pair of angles is congruent.
The triangles are at least similar, but not necessarily congruent.

Answer 27

because its congruent the same shape;e and size can't u just loo at it and judge?

Answer 28

If you know two pair of sides are congruent, that info alone does not tell you anything about the third pair of sides. You need more info on the third pair of sides to use SSS.

Answer 29

In geometry, you can't use the looks of a figure to tell if figures are congruent. You need to prove it based on given information, definitions, postulates, and theorems.

Answer 30

oh okaky