6
practice testMultiple Choice

Practice Test

Question 6 • Integrated Math II CR SUSD (EX)

Given: RT―≅TV― and ST―≅TU― Prove: RSVU is a parallelogram. Open image in full-screen view What is the missing statement in step 4?

Answer
A
triangle VUR is congruent to triangle VUS and triangle UVS is congruent to triangle SRU
B
triangle VRS is congruent to triangle VRU and triangle USR is congruent to triangle USV
C
triangle RTS is congruent to triangle RVS and triangle RTU is congruent to triangle STV
D
triangle RTS is congruent to triangle VTU and triangle RTU is congruent to triangle VTS

Explanation

The diagonals intersect at T, so ∠RTS and ∠VTU are vertical angles, as are ∠RTU and ∠VTS. With RT ≅ TV and ST ≅ TU, SAS gives △RTS ≅ △VTU and △RTU ≅ △VTS. Thus the missing statement is choice B.

AI-written and checked against the verified answer.

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