jjordangotme
Answered

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

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 Simila class=

Answer :

calculista

Answer:

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

[tex]\frac{PS}{PQ}=\frac{PT}{PR}[/tex]

substitute

[tex]\frac{45}{20}=\frac{36}{16}[/tex]

[tex]2.25=2.25[/tex] ----> 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

[tex]m\angle PQR=m\angle PST[/tex] ----> by corresponding angles

[tex]m\angle PRQ=m\angle PTS[/tex] --> by corresponding angles

so

PQR is similar to PST by AA Similarity Postulate

Answer: SAS Similarity Theorem

Step-by-step explanation:

just took the quiz

${teks-lihat-gambar} 23hannahfugate

Other Questions