Geometry

Question Analysis:
This question is about applying CPCTC to determine the properties of one triangle based on the congruence with another triangle.
The main focus is on correctly identifying the corresponding elements.

Key Concept Explanation:
When two triangles are congruent (△PQR ≅ △STU), the vertices are matched in order.
P corresponds to S, Q corresponds to T, and R corresponds to U.
So, the sides and angles at the corresponding vertices are congruent.

Step - by - Step Solution:
Given △PQR ≅ △STU.
For the side:
Since PR is a side in △PQR and R corresponds to U, the side in △STU that corresponds to PR is SU.
Given PR = 12 inches, then SU = 12 inches.
For the angle:
Since ∠R is an angle in △PQR and R corresponds to U, then ∠R and ∠U are corresponding angles.
Given ∠R = 45°, then ∠U = 45°.

Option Analysis:
Option A: SU = 12 inches and ∠U = 45° is correct as it follows the correct correspondence.
Option B: ∠T does not correspond to ∠R, so this option is incorrect.
Option C: TU does not correspond to PR, so this option is incorrect.
Option D: Both the side and t...