Determine whether the triangles are similar. If so, write a similarity statement and name the postulate or theorem you used. If not, explain. 11 P 22 R. 16 8.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
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Determine whether the triangles are similar. If so, write a
similarity statement and name the postulate or theorem you
used. If not, explain.
R.
11 P
22
is
16
Q.
Choose the correct answer below.
O A. Yes, APSQ - ARST because S= ZS and ZP= ZR. Thus, the triangles are similar by the AA- postulate.
PS
QS
O B. Yes, APSQ - ARST because
RS
PQ
Thus, the triangles are similar by the SSS- postulate.
TS RT
PS
O C. Yes, APSQ - ARST because ZS ZS and
RS
QS
Thus, the triangles are similar by the SAS- theorem.
%3D
TS
D. No, the triangles are not similar because no theorem or postulate can be satisfied.
Transcribed Image Text:Determine whether the triangles are similar. If so, write a similarity statement and name the postulate or theorem you used. If not, explain. R. 11 P 22 is 16 Q. Choose the correct answer below. O A. Yes, APSQ - ARST because S= ZS and ZP= ZR. Thus, the triangles are similar by the AA- postulate. PS QS O B. Yes, APSQ - ARST because RS PQ Thus, the triangles are similar by the SSS- postulate. TS RT PS O C. Yes, APSQ - ARST because ZS ZS and RS QS Thus, the triangles are similar by the SAS- theorem. %3D TS D. No, the triangles are not similar because no theorem or postulate can be satisfied.
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