Practice Test

Question 8 • MASTER COURSE 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. Open image in full-screen view What is the missing statement in step 4?

Answer

triangle RTS is congruent to triangle RVS and triangle RTU is congruent to triangle STV

triangle VUR is congruent to triangle VUS and triangle UVS is congruent to triangle SRU

triangle RTS is congruent to triangle VTU and triangle RTU is congruent to triangle VTS

triangle VRS is congruent to triangle VRU and triangle USR is congruent to triangle USV

Explanation

Since RT = TV and ST = TU, T is the midpoint of both diagonals RV and SU. The angles RTS and VTU are vertical angles, so they are congruent; the angles RTU and VTS are also vertical angles. Each pair of triangles in choice C is congruent by SAS, using the two given equal side pairs and the included vertical angles.

AI-written and checked against the verified answer.

Back to All Questions

More from this Course

Practice Test

Practice Test

Practice Test