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Question
PQ = SR, ∠P = ∠S, ΔPOQ ≅ ΔSOR by ______.
Options
SAS
ASA
AAS
RHS
MCQ
Fill in the Blanks
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Solution
PQ = SR, ∠P = ∠S, ΔPOQ ≅ ΔSOR by AAS.
Explanation:
- PQ = SR ...(Given)
- ∠P = ∠S ...(Given)
- OQ = OR ...(Since both triangles share the side OR)
These correspond to the AAS (Angle-Angle-Side) congruence criterion two angles and one side of one triangle are congruent to two angles and the corresponding side of the other triangle.
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