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Geometric proof: Edexcel GCSE Maths questions

Every Edexcel GCSE Maths exam question on G6 Geometric proof, 2017–2025, with its mark scheme and examiner’s report.

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997 questions

  1. Q8

    June 2025 · Paper 1H

    5 marksG19 Similar shapesG6 Geometric proof
    The whole paper ↗
    June 2025 Paper 1H, question 8: ABC is a right-angled triangle. A 18 cm 20 cm D E B C 30 cm AEC and ADB are straight lines. ED is parallel to CB. (a) Prove that triangle ABC is similar to tria

  2. Q18

    November 2024 · Paper 2H

    3 marksG6 Geometric proofG5 Congruent triangles
    The whole paper ↗
    November 2024 Paper 2H, question 18: A, B and C are three points on a circle, centre O. A B O C BA = BC Prove that OB bisects angle ABC.

  3. Q22

    June 2024 · Paper 2H

    4 marksG10 Circle theoremsG6 Geometric proof
    The whole paper ↗
    June 2024 Paper 2H, question 22: A and B are points on a circle, centre O. M A P O B N MAP and NBP are tangents to the circle. Prove that AP = BP

  4. Q20

    November 2022 · Paper 3H

    3 marksG5 Congruent trianglesG6 Geometric proof
    The whole paper ↗
    November 2022 Paper 3H, question 20: The diagram shows a triangle ADE. A B C D E AE = DE AB : BC : CD = 1 : 2 : 1 Prove that triangle ACE is congruent to triangle DBE.

  5. Q15

    June 2022 · Paper 3H

    3 marksG10 Circle theoremsG6 Geometric proof
    The whole paper ↗
    June 2022 Paper 3H, question 15: P, Q, R and S are four points on a circle. P Q X R S PXR and SXQ are straight lines. Prove that triangle PQX and triangle SRX are similar.

  6. Q23

    November 2021 · Paper 3H

    4 marksG22 Sine and cosine rulesG6 Geometric proof
    The whole paper ↗
    November 2021 Paper 3H, question 23: ABC is a triangle. A x° x° B C D D is the point on BC such that angle BAD = angle DAC = x° Prove that AB AC = BD DC

  7. Q22

    November 2019 · Paper 1H

    4 marksG6 Geometric proofG5 Congruent triangles
    The whole paper ↗
    November 2019 Paper 1H, question 22: A, B, C and D are four points on a circle. A D B E C AEC and DEB are straight lines. Triangle AED is an equilateral triangle. Prove that triangle ABC is congrue

  8. Q21

    November 2018 · Paper 2H

    4 marksG10 Circle theoremsG6 Geometric proof
    The whole paper ↗
    November 2018 Paper 2H, question 21: A P O C R B A, B, R and P are four points on a circle with centre O. A, O, R and C are four points on a different circle. The two circles intersect at the point

  9. Q21

    June 2018 · Paper 3H

    5 marksG5 Congruent trianglesG6 Geometric proof
    The whole paper ↗
    June 2018 Paper 3H, question 21: A B P Q D C ABCD is a parallelogram. ABP and QDC are straight lines. Angle ADP = angle CBQ = 90q (a) Prove that triangle ADP is congruent to triangle CBQ. (b) E

  10. Q20

    November 2017 · Paper 3H

    4 marksG6 Geometric proofG10 Circle theorems
    The whole paper ↗
    November 2017 Paper 3H, question 20: C A O B A, B and C are points on the circumference of a circle, centre O. AOB is a diameter of the circle. Prove that angle ACB is 90° You must not use any circ

  11. Q21

    June 2017 · Paper 1H

    4 marksG6 Geometric proofG5 Congruent triangles
    The whole paper ↗
    June 2017 Paper 1H, question 21: ABCD is a quadrilateral. B C A D AB = CD. Angle ABC = angle BCD. Prove that AC = BD.

  12. Q22

    June 2017 · Paper 1H

    5 marksG6 Geometric proofG22 Sine and cosine rules
    The whole paper ↗
    June 2017 Paper 1H, question 22: The diagram shows a hexagon ABCDEF. B A C P Q E F D ABEF and CBED are congruent parallelograms where AB = BC = x cm. P is the point on AF and Q is the point on

  13. Q15

    June 2017 · Paper 2H

    3 marksG6 Geometric proofG10 Circle theorems
    The whole paper ↗
    June 2017 Paper 2H, question 15: A, B, C and D are four points on the circumference of a circle. A B E C D AEC and BED are straight lines. Prove that triangle ABE and triangle DCE are similar.
All 13 questions on Geometric proof, as a list
  1. June 2025, Paper 1H, Q8 (5 marks): ABC is a right-angled triangle. A 18 cm 20 cm D E B C 30 cm AEC and ADB are straight lines. ED is parallel to CB. (a) Prove that triangle ABC is similar to tria
  2. November 2024, Paper 2H, Q18 (3 marks): A, B and C are three points on a circle, centre O. A B O C BA = BC Prove that OB bisects angle ABC.
  3. June 2024, Paper 2H, Q22 (4 marks): A and B are points on a circle, centre O. M A P O B N MAP and NBP are tangents to the circle. Prove that AP = BP
  4. November 2022, Paper 3H, Q20 (3 marks): The diagram shows a triangle ADE. A B C D E AE = DE AB : BC : CD = 1 : 2 : 1 Prove that triangle ACE is congruent to triangle DBE.
  5. June 2022, Paper 3H, Q15 (3 marks): P, Q, R and S are four points on a circle. P Q X R S PXR and SXQ are straight lines. Prove that triangle PQX and triangle SRX are similar.
  6. November 2021, Paper 3H, Q23 (4 marks): ABC is a triangle. A x° x° B C D D is the point on BC such that angle BAD = angle DAC = x° Prove that AB AC = BD DC
  7. November 2019, Paper 1H, Q22 (4 marks): A, B, C and D are four points on a circle. A D B E C AEC and DEB are straight lines. Triangle AED is an equilateral triangle. Prove that triangle ABC is congrue
  8. November 2018, Paper 2H, Q21 (4 marks): A P O C R B A, B, R and P are four points on a circle with centre O. A, O, R and C are four points on a different circle. The two circles intersect at the point
  9. June 2018, Paper 3H, Q21 (5 marks): A B P Q D C ABCD is a parallelogram. ABP and QDC are straight lines. Angle ADP = angle CBQ = 90q (a) Prove that triangle ADP is congruent to triangle CBQ. (b) E
  10. November 2017, Paper 3H, Q20 (4 marks): C A O B A, B and C are points on the circumference of a circle, centre O. AOB is a diameter of the circle. Prove that angle ACB is 90° You must not use any circ
  11. June 2017, Paper 1H, Q21 (4 marks): ABCD is a quadrilateral. B C A D AB = CD. Angle ABC = angle BCD. Prove that AC = BD.
  12. June 2017, Paper 1H, Q22 (5 marks): The diagram shows a hexagon ABCDEF. B A C P Q E F D ABEF and CBED are congruent parallelograms where AB = BC = x cm. P is the point on AF and Q is the point on
  13. June 2017, Paper 2H, Q15 (3 marks): A, B, C and D are four points on the circumference of a circle. A B E C D AEC and BED are straight lines. Prove that triangle ABE and triangle DCE are similar.

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