6
practice testMultiple Choice

Practice Test

Question 6 • TPS EdX Geometry

Given: line segment RT is congruent to line segment TV and line segment ST is congruent to line segment TU Prove: RSVU is a parallelogram. Expand Image What is the missing statement in step 4?

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

Explanation

Since RT = TV and ST = TU, the two pairs of corresponding sides are congruent. The angles RTS and VTU are vertical angles, as are RTU and VTS, so each pair has congruent included angles. By SAS, triangle RTS is congruent to triangle VTU, and triangle RTU is congruent to triangle VTS. This is choice C.

AI-written and checked against the verified answer.

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