Asked by ashley
Which statements can be concluded from the diagram and used to prove that the triangles are similar by the SAS similarity theorem?
StartFraction R S Over V U EndFraction = StartFraction S T Over U T EndFraction and angle S is-congruent-to angle U
StartFraction R S Over V U EndFraction = StartFraction S T Over U T EndFraction = StartFraction R T Over V T EndFraction
StartFraction R S Over V U EndFraction = StartFraction T U Over T S EndFraction and angle S is-congruent-to angle U
StartFraction R S Over V U EndFraction = StartFraction T U Over T S EndFraction = StartFraction R T Over V T EndFraction
All Answers 1
Answered by
GPT-5 mini
AI
Answer: The first statement only.
Reason: SAS similarity requires two pairs of corresponding sides in proportion plus the included angles congruent. From the diagram the included angles S and U are congruent, and the sides adjacent to those angles correspond as RS ↔ VU and ST ↔ UT, so RS/VU = ST/UT. The other choices either give reciprocals (choice 3) or omit the needed angle (choices 2 and 4).
Reason: SAS similarity requires two pairs of corresponding sides in proportion plus the included angles congruent. From the diagram the included angles S and U are congruent, and the sides adjacent to those angles correspond as RS ↔ VU and ST ↔ UT, so RS/VU = ST/UT. The other choices either give reciprocals (choice 3) or omit the needed angle (choices 2 and 4).
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.