Which postulate or theorem can be used to
prove that A PQR is similar to A PST?

SSS Similarity Theorem
AS Similarity Postulate
SAS Similarity Theorem
ASA Similarity Theorem

AA Similarity Postulate

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

step 1

Verify the proportion of the corresponding sides

substitute

----> is true

Corresponding sides are proportional

Triangle PQR is similar to Triangle PST

That means

Corresponding angles must be congruent

side QR is parallel side ST

and

----> by corresponding angles

--> by corresponding angles

so

PQR is similar to PST by AA Similarity Postulate

the discriminant is 64 + 4*1*12 = 112

this is prime.

step-by-step explanation:

answer: i think it is c