anonymous
  • anonymous
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.
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
anonymous
  • anonymous
what do you think it is?
Sepeario
  • Sepeario
clue: they are congruent.

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anonymous
  • anonymous
I think it's D
Sepeario
  • Sepeario
you need to know your angle identities.
arindameducationusc
  • arindameducationusc
Vertically Opposite Angle is the clue
Sepeario
  • Sepeario
i think @nono266 can explain it to you.
aric200
  • aric200
arindameducationusc
  • arindameducationusc
angle QRP= angle SRT
anonymous
  • anonymous
http://www.regentsprep.org/Regents/math/geometry/GPB/theorems.htm take a look here
arindameducationusc
  • arindameducationusc
You can do it @jillina29
anonymous
  • 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
  • anonymous
hint: SSA is not a postulate.
anonymous
  • anonymous
oooh so it could be, B?!
anonymous
  • anonymous
Possibly, do you have reasons to support your answer?
arindameducationusc
  • arindameducationusc
I guess so....
aric200
  • 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
  • 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
  • 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
anonymous
  • anonymous
that's what we're here for, good luck with your work
arindameducationusc
  • arindameducationusc
My pleasure @jillina29 Awesome work @nono266 and @aric200
anonymous
  • anonymous
aha not a problem @arindameducationusc :)

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