## Geometry: Common Core (15th Edition)

a. Vertical angles are congruent. b. Given c. $\overline{TQ}$ is congruent to $\overline{RQ}$. d. AAS postulate
a. $\angle NQT$ and $\angle SQR$ are vertical angles; therefore, they are congruent. b. This statement was given originally. c. If line $l$ bisects $\overline{TR}$ at $Q$, then $\overline{TQ}$ is congruent to $\overline{RQ}$. d. Two angles and one non-included side of both triangles are congruent; therefore, the triangles are congruent by the AAS postulate.