Question

can you conclude that these triangles are congruent?

Explanation:

Step1: Identify vertical angles

$\angle TPU$ and $\angle SPQ$ are vertical angles. Vertical angles are equal, so $\angle TPU=\angle SPQ$.

Step2: Check for congruent triangles using ASA (Angle - Side - Angle)

We know that $UP = QP$ (given by the tick marks), $\angle U=\angle Q$ (given by the arc marks), and $\angle TPU=\angle SPQ$ (vertical angles).
By the ASA (Angle - Side - Angle) congruence criterion, $\triangle TPU\cong\triangle SPQ$.

Answer:

yes