To determine which congruence statement is correct based on the information provided, we need to analyze the triangles and the given elements.
We know:
- Side MQ is equal to side SR (MQ = SR)
- Measure angle DMQ is equal to measure angle SRB (∠DMQ = ∠SRB)
- Measure angle MDQ is equal to measure angle SBR (∠MDQ = ∠SBR)
From this information, we can apply the Angle-Side-Angle (ASA) congruence criterion, which states that if two angles and the side between them are equal in two triangles, then the triangles are congruent.
Given the relationships:
- ∠DMQ (first angle) and ∠MDQ (second angle) correspond to angles in triangle SRB.
- The side MQ corresponds to side SR.
These relationships indicate that:
- Side MQ = Side SR
- ∠DMQ = ∠SRB
- ∠MDQ = ∠SBR
With this configuration, we can make the conclusion as follows:
Triangle DMQ will correspond with triangle SRB based on ASA.
Thus, the correct statement is:
A. △DMQ ≅ △SRB