Are the two triangles similar? If yes, write a similarity statement and explain how you know they are similar.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter5: Similar Triangles
Section5.3: Proving Triangles Similar
Problem 4E: Classify as true or false: a If the midpoints of two sides of a triangle are joined, the triangle...
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Are the two triangles similar? If yes, write a similarity statement and explain how you know they are similar.
R
90°
50°
40°
Choose the correct answer below.
O A. Yes, ASOR - ADOW. The triangles are simlar because ZS ZD and ZSOR E ZWOD, which satisfies the AA- postulate.
OB.
RO
SO
Yes, ASOR - ADOW. The triangles are similar because ZS ZD and
wo
which satisfies the SAS- theorem.
DO
Oc.
RO
Yes, ASOR - ADOW. The triangles are similar because wO
SO
RS
which satisfies the SSS- theorem.
%3D
DO
WD
O D. No, the triangles are not similar because no theorem or postulate can be satisfied.
Transcribed Image Text:Are the two triangles similar? If yes, write a similarity statement and explain how you know they are similar. R 90° 50° 40° Choose the correct answer below. O A. Yes, ASOR - ADOW. The triangles are simlar because ZS ZD and ZSOR E ZWOD, which satisfies the AA- postulate. OB. RO SO Yes, ASOR - ADOW. The triangles are similar because ZS ZD and wo which satisfies the SAS- theorem. DO Oc. RO Yes, ASOR - ADOW. The triangles are similar because wO SO RS which satisfies the SSS- theorem. %3D DO WD O D. No, the triangles are not similar because no theorem or postulate can be satisfied.
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