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Congruent triangles: OCR GCSE Maths questions

Every OCR GCSE Maths exam question on G5 Congruent triangles, 2017–2025, with its mark scheme and examiner’s report.

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921 questions

  1. Q12

    June 2025 · Paper 5

    4 marksG5 Congruent trianglesG6 Geometric proof
    The whole paper ↗
    June 2025 Paper 5, question 12: A Not to scale D B C ABC is an equilateral triangle. BD is perpendicular to AC. Prove that triangle ABD is congruent to triangle CBD.

  2. Q15

    November 2023 · Paper 4

    3 marksG5 Congruent trianglesG6 Geometric proof
    The whole paper ↗
    November 2023 Paper 4, question 15: P, Q, T and V are points on the circumference of a circle. TV is a diameter of the circle. M is a point on PQ such that PM = MQ. V Not to scale Q M P T Complete

  3. Q5

    June 2022 · Paper 6

    3 marksG5 Congruent triangles
    The whole paper ↗
    June 2022 Paper 6, question 5: In each row of the table there are two triangles. State whether the two triangles are congruent or not. If they are congruent state a reason from SSS, SAS, ASA

  4. Q11

    November 2019 · Paper 4

    4 marksG5 Congruent trianglesG6 Geometric proof
    The whole paper ↗
    November 2019 Paper 4, question 11: (a) Are these two triangles definitely congruent? Give a reason. Not to scale B E 64° 64° 36° 80° 36° 80° A C D F because (b) Prove that these two triangles are

  5. Q11

    June 2018 · Paper 6

    4 marksG6 Geometric proofG5 Congruent triangles
    The whole paper ↗
    June 2018 Paper 6, question 11: The diagram below shows two triangles. B 80° Not to scale C 56° A 44° 80° D Prove that triangle ABC is congruent to triangle ACD.

  6. Q10

    November 2017 · Paper 5

    4 marksG6 Geometric proofG5 Congruent triangles
    The whole paper ↗
    November 2017 Paper 5, question 10: ABCD is a quadrilateral. AD = AB and CD = CB. A Not to scale D B C Prove that angle ADC is equal to angle ABC.

  7. Q13

    June 2017 · Paper 6

    4 marksG6 Geometric proofG5 Congruent triangles
    The whole paper ↗
    June 2017 Paper 6, question 13: A and B are points on the circumference of a circle, centre O. CA and CB are tangents to the circle. A Not to scale C O B Prove that triangle OAC is congruent t
All 7 questions on Congruent triangles, as a list
  1. June 2025, Paper 5, Q12 (4 marks): A Not to scale D B C ABC is an equilateral triangle. BD is perpendicular to AC. Prove that triangle ABD is congruent to triangle CBD.
  2. November 2023, Paper 4, Q15 (3 marks): P, Q, T and V are points on the circumference of a circle. TV is a diameter of the circle. M is a point on PQ such that PM = MQ. V Not to scale Q M P T Complete
  3. June 2022, Paper 6, Q5 (3 marks): In each row of the table there are two triangles. State whether the two triangles are congruent or not. If they are congruent state a reason from SSS, SAS, ASA
  4. November 2019, Paper 4, Q11 (4 marks): (a) Are these two triangles definitely congruent? Give a reason. Not to scale B E 64° 64° 36° 80° 36° 80° A C D F because (b) Prove that these two triangles are
  5. June 2018, Paper 6, Q11 (4 marks): The diagram below shows two triangles. B 80° Not to scale C 56° A 44° 80° D Prove that triangle ABC is congruent to triangle ACD.
  6. November 2017, Paper 5, Q10 (4 marks): ABCD is a quadrilateral. AD = AB and CD = CB. A Not to scale D B C Prove that angle ADC is equal to angle ABC.
  7. June 2017, Paper 6, Q13 (4 marks): A and B are points on the circumference of a circle, centre O. CA and CB are tangents to the circle. A Not to scale C O B Prove that triangle OAC is congruent t

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