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0580/22 Oct/Nov 2022, Question 9: Congruent Triangles: Proof Conditions

Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Calculator · 2 marks

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The question, in short

Compare three triangles A, B and C with angles 60° and 25° and a 6 cm side, deciding which two are congruent and which criterion supports this.

Summarised in our own words. Use the official paper for the exact wording and the diagram.

Part (a) · 1 mark

Identify which two of triangles A, B and C are congruent.

  1. 1In A and C the 6 cm side lies between the 60° and 25° angles; in B it is opposite the 60° angle
  2. 2Congruent: A and C

AnswerA and C

Part (b) · 1 mark

Choose the congruence criterion from SSS, ASA, SAS, RHS that justifies the answer to part (a).

  1. 1Two angles and the included side are equal: ASA

AnswerASA

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Also searched as: 0580/22/O/N/22 · 0580_w22_qp_22 · 0580 w22 22 · question 9.
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