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QuizMultiple Choice

Law of Sines (Sec 8-3) — Unit test

Question 2 • Fall 24 GMS Geometry: Concepts and Connections B

Given: RT ≅ TV and ST ≅ TUProve: RSVU is a parallelogram. Statements Reasons1.RT ≅ TV; ST ≅ TU1.given2.∠RTS and ∠VTU are vert. ∠s;∠RTU and ∠VTS are vert. ∠s2.definition of vertical angles3.∠RTS ≅ ∠VTU;∠RTU ≅ ∠VTS3.vertical angles are congruent4.?4.SAS congruency theorem5.∠VRS ≅ ∠RVU; ∠USR ≅ ∠SUV; ∠VRU ≅ ∠RVS; ∠RUS ≅ ∠USV5.CPCTC6.∠VRS and ∠RVU, ∠USR and ∠SUV, ∠VRU and ∠RVS, ∠RUS and ∠USV are each a pair of alternate interior angles6.definition of alternate interior angles7.RS ∥ UV and RU ∥ SV7.converse of the parallelogram diagonal theorem8.RSVU is a parallelogram8.definition of parallelogramWhat is the missing statement in step 4?

Question illustration
Answer
A
△RTS ≅ △VTU and △RTU ≅ △VTS
B
△RTS ≅ △RVS and △RTU ≅ △STV
C
△VRS ≅ △VRU and △USR ≅ △USV
D
△VUR ≅ △VUS and △UVS ≅ △SRU
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