Triangle Congruence by SAS Rule
We are comparing two triangles, $\Delta PQR$ and $\Delta STU$.
The given information is:
- Side $PQ = ST$
- Side $PR = SU$
- Included angle $\angle QPR = \angle TSU$
The Side-Angle-Side (SAS) congruence rule states that if two sides and the angle included between them in one triangle are equal to the corresponding two sides and the included angle in another triangle, then the triangles are congruent.
In this problem:
- We have two pairs of corresponding sides equal: $PQ=ST$ and $PR=SU$.
- We have the angle included between these sides equal: $\angle QPR = \angle TSU$.
Therefore, based on the SAS congruence rule, $\Delta PQR$ is congruent to $\Delta STU$.
Similar Questions
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Important Questions from Triangles, Congruence and Similarity
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