What is the missing statement in the proof? Statements Reasons 1. angle TXU is congruent to angle TVS 1. given 2. angle STV is congruent to angle UTX 2. reflex. prop. 3. triangle STU is an equilateral triangle 3. given 4. line segment ST is congruent to line segment UT 4. sides of an equilat. triangle are is congruent to 5. ? 5. AAC 6. line segment UX is congruent to line segment SV 6. CPCTC

The angles in triangle TUX correspond to the angles in triangle TSV: angle UTX matches angle STV, and angle TXU matches angle TVS. Also, UT matches ST because they are sides of the given equilateral triangle STU. Therefore, the triangles are congruent by angle-angle-side (AAC), so UX corresponds to SV by CPCTC. The missing statement is “triangle TUX is congruent to triangle TSV.”

AI-written and checked against the verified answer.