is PQR ≅ STR? If so, name the postulate or theorem that justifies the congruence.
A. Yes, the triangles are congruent by SSA.
B. Yes, the triangles are congruent by SAS.
C. Yes, the triangles are congruent by SSS.
D. No, the triangles cannot be proven congruent with SSA information.

- anonymous

- schrodinger

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- anonymous

##### 1 Attachment

- anonymous

what do you think it is?

- Sepeario

clue: they are congruent.

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- anonymous

I think it's D

- Sepeario

you need to know your angle identities.

- arindameducationusc

Vertically Opposite Angle is the clue

- Sepeario

i think @nono266 can explain it to you.

- aric200

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- arindameducationusc

angle QRP= angle SRT

- anonymous

http://www.regentsprep.org/Regents/math/geometry/GPB/theorems.htm
take a look here

- arindameducationusc

You can do it @jillina29

- anonymous

All I know is that it is not C, I tried that the first time because I thought the vertical angles was a side

- anonymous

hint: SSA is not a postulate.

- anonymous

oooh so it could be, B?!

- anonymous

Possibly, do you have reasons to support your answer?

- arindameducationusc

I guess so....

- aric200

@jilliana29 read the definitions of each from the site @nono266 Provided.
http://www.regentsprep.org/Regents/math/geometry/GPB/theorems.htm\
Use to support
Side-Side-Side (SSS) Congruence If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.
Side-Angle-Side (SAS) Congruence If two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.
Angle-Side-Angle (ASA) Congruence If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.
Angle-Angle-Side (AAS) Congruence If two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.

- anonymous

Because two of the options have "SSA" as a postulate, and you said how that is not a real postulate, also I tried C the first time and I did not get it right. So that narrows it down to B. @nono266

- anonymous

Well so you used process of elimination, i know it doesn't say to provide a reason but in future references make sure you have one. :)

- anonymous

- anonymous

that's what we're here for, good luck with your work

- arindameducationusc

- anonymous

aha not a problem @arindameducationusc :)

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