Question

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.

Answer 1

what do you think it is?

Answer 2

clue: they are congruent.

Answer 3

I think it's D

Answer 4

you need to know your angle identities.

Answer 5

Vertically Opposite Angle is the clue

Answer 6

i think @nono266 can explain it to you.

Answer 7

angle QRP= angle SRT

Answer 8

http://www.regentsprep.org/Regents/math/geometry/GPB/theorems.htm

take a look here

Answer 9

You can do it @jillina29

Answer 10

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

Answer 11

hint: SSA is not a postulate.

Answer 12

oooh so it could be, B?!

Answer 13

Possibly, do you have reasons to support your answer?

Answer 14

I guess so....

Answer 15

@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.

Answer 16

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

Answer 17

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. :)

Answer 18

Thank you! @nono266 @aric200 @arindameducationusc

Answer 19

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

Answer 20

My pleasure @jillina29
Awesome work @nono266 and @aric200

Answer 21

aha not a problem @arindameducationusc :)