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An arc through P and Q and two arcs intersecting at R have been drawn. One arc at R has been drawn from P and the other has been drawn from Q using the same compass setting. QR⎯⎯⎯⎯⎯ and PR⎯⎯⎯⎯⎯ have also been drawn.

Determine the correct justification needed for each statement to prove ∠PAR≅∠QAR.

An arc through P and Q and two arcs intersecting at R have been drawn. One arc at-example-1
User JDH
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1 Answer

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\\ \sf\longmapsto AR\cong AR(Common\: side)

  • AR is present in both triangles so it's common


\\ \sf\longmapsto ∆ARP\cong ∆ARQ(SSS congruence)

  • SSS stands for Side Side Side
  • As both triangles are equal so so respective angles are also equal


\\ \sf\longmapsto <PAR\cong <QAR(\because \triangle PAR\cong \triangle QAR)

User Liyali
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