## givealittletimetome 2 years ago I'm having trouble understanding congruency between Triangles.. Like SSS, SAS, ASA, and AAS. Can anyone help..?

1. BluFoot

Sure. There's basically a bunch of ways to prove that triangles are congruent. Congruent means that all the sides and all the angles are EXACTLY the same. For example: SSS is one way of proving that 2 triangles are congruent. SSS means "side side side", meaning if the three sides of two triangles are the same, then the two triangles are congruent. This means that if I gave you one triangle with side lengths and angles, and gave you another triangle with only side lengths, and all the side lengths were identical, you could use the angles of the first triangle to know the angles for the second. ASA means "angle side angle". So if you can find 2 identical angles, followed by 2 identical sides, followed by 2 identical angles (in order) then the triangles will be congruent. And so on

2. UsukiDoll

side side side side angle side angle side angle angle angle side all conditions in solving for triangles IT CAN NEVER be Angle angle angle. You need at least one side and one angle to solve a triangle typed equation.

3. givealittletimetome

Thank you very much, first off. But I'm kind of confused on the definition of "AAS" because it states, "If two angles and a non-included side are congruent to the corresponding two angles and side of a second triangle, the two triangles are congruent." Does that just mean if both of the triangles have two angles and a non-included side that are the same size, they're congruent?

4. UsukiDoll

|dw:1355006028651:dw|

5. UsukiDoll

that is what a typical angle angle side problem looks like.

6. givealittletimetome

Ohhh!!!! So it's basically just comparing the two angles and the literal side to the other triangle to see if they're congruent?

7. BluFoot

Let's try a question: http://library.thinkquest.org/20991/media/geo_exAAS.gif Are these triangles congruent?

8. givealittletimetome

Yes because they have the same angle size/side length?

9. BluFoot

They are, but only because they follow one of the patterns you listed above: AAS. :)

10. givealittletimetome

That's actually so easy, wow. You're a life saver. Thank you so much! <3

11. BluFoot

<3