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Learntionary

Step-by-step explanation:

SSS

PB = QC (Given) (S)

BC (common side) (S)

QB = PC (Since ABC is isosceles triangle and PB = QC) (S)

Topic: congruence and similarity

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Answer:

  • SAS criteria

Step-by-step explanation:

Given is isosceles triangle as AB = AC, it means angles B and C measure same

Triangles PBC and QCB have common side BC, equal sides PB = QC as PB = AB - AP and QC = AC - AQ

So two sides and the angle between are congruent:

  • BC ≅ BC, PB ≅ QC, ∠PBC ≅ ∠QCB
  • So ΔPBC≅ΔQCB as per SAS criteria

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