Final answer:
Based on the given congruent corresponding parts, triangles MNP and QRS are congruent by the SAS postulate. Therefore, ∠PMN = ∠SQR is the correct congruent statement. Options involving points not specified in the question cannot be confirmed.
Step-by-step explanation:
The question is about determining which congruent statements are valid based on the provided congruent corresponding parts in a geometric context. To address this question, let's consider the properties of congruent triangles. Congruent triangles are triangles that are identical in terms of side lengths and angle measurements. If two triangles have corresponding sides that are equal in length and their corresponding angles that are equal in measurement, then the triangles are congruent.
If MN = QR, MP = QS, and PN = SR, and if angles ZN = ZR, ZP = ZS, and ZM = ZQ, then by the Side-Angle-Side (SAS) postulate, triangle MNP is congruent to triangle QRS. Thus, we can deduce the following congruent statements:
- ∠PMN = ∠SQR (Because corresponding angles of congruent triangles are equal)
Since only the congruence of angles and sides mentioned in the given information can be assumed, we cannot confirm the congruence of angles with additional points (such as A or E) that are not defined in the problem statement. Thus, options b, c, and d cannot be confirmed as correct without further information.