Final answer:
To complete each statement when triangle PQR is congruent to triangle STU, you pair corresponding parts such as sides and angles, since congruent triangles have all corresponding parts equal.
Step-by-step explanation:
If triangle PQR is congruent to triangle STU, to complete each congruence statement you would pair off corresponding parts (angles and sides) that must be equal due to the fact that congruent triangles have all corresponding sides and angles equal. When triangles are congruent, it means that one can be transformed into the other through a series of rotations, reflections, and/or translations. Corresponding angles and sides have the same measure.
Therefore, if triangle PQR ≅ triangle STU, we have the following facts: PQ corresponds to ST, QR corresponds to TU, and RP corresponds to US. Similarly, angle P corresponds to angle S, angle Q to angle T, and angle R to angle U. Given these correspondences, we can write out the congruence relationships:
- PQ = ST
- QR = TU
- RP = US
- ∠P = ∠S
- ∠Q = ∠T
- ∠R = ∠U
For a more specific answer, complete the blanks with the corresponding parts from the other triangle.