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Mathematics 20 Online
OpenStudy (anonymous):

Which of the following is not a way to prove triangles congruent? SSS SAS SSA ASA

OpenStudy (anonymous):

Am I stupid or are all these congruence theories?

OpenStudy (anonymous):

lol. look at all the guests viewing.

Directrix (directrix):

These are not all triangle congruence theorems or postulates.

Directrix (directrix):

An imposter is in the mix.

OpenStudy (anonymous):

ahh. so I am stupid.

OpenStudy (anonymous):

:D that sucks.

OpenStudy (cwrw238):

I'm from the UK and when I did geometry we didn't have these acronyms just 3 conditions for congruency of triangles 1. 2 sides and included angle 2. 3 sides 3. 2 angles and corresponding side

OpenStudy (anonymous):

AHHHHH!! it's ASA!

OpenStudy (anonymous):

right? If so, why?

OpenStudy (paxpolaris):

ASA works SSA doesn't

Directrix (directrix):

Check the attached chart.

OpenStudy (anonymous):

oh, stupid me. I was confusing SSA with AAS.

OpenStudy (anonymous):

ugg. Thanks, @PaxPolaris

OpenStudy (anonymous):

Thanks for the chart @Directrix

OpenStudy (cwrw238):

i'm not sure why you need ASA and AAS

OpenStudy (cwrw238):

- that is covered by ' 2 angles and the corresponding side'.

OpenStudy (cwrw238):

* those are covered

OpenStudy (anonymous):

yes, I know. these so called abbreviations are stupid.

OpenStudy (anonymous):

nothing I can do though.

OpenStudy (cwrw238):

well they are easier to write...

OpenStudy (anonymous):

but not easier to remember.

OpenStudy (cwrw238):

yes - i agree I had never come across them until I joined openstudy

OpenStudy (paxpolaris):

|dw:1419716335343:dw| this is an example showing SSA doesn't work:\[\triangle PQR \cancel \cong \triangle PQS\] S: QR = QS S: PQ = PQ A: P = P

OpenStudy (cwrw238):

right - that is what is called ' the ambiguous case'.

Directrix (directrix):

0, 1, or 2 triangles can be built with two sides and an non-included angle.

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