The proposition that can not be verified using the given information is
![If\text{ }\hat{\text{RS}}\cong\hat{TV,}\text{ then }\bar{\text{RS}}\cong\bar{TQ}](https://img.qammunity.org/2023/formulas/mathematics/college/jhy5zfjf797nk2wht2y6e8hwngkswhlzvl.png)
Because there is no result (regarding chords) relating a chord that doesn't go through the center Q with a chord going through it. Look at the conclusion of the proposition
![\bar{RS}\cong\bar{TQ}](https://img.qammunity.org/2023/formulas/mathematics/college/t19s75qz1hhcxbqwm3dz0wb93lc41el3y7.png)
RS doesn't go through Q, and TQ does it.