Paper 2 November 2024 Higher tier, Question 18 3 marks
A, B and C are three points on a circle, centre O.
BA = BC Prove that OB bisects angle ABC.
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Edexcel GCSE Maths
Topic questions Geometry and measures Congruence
Congruence
8 questions · 25 marks · about 30 minutes
Congruence questions
TopicCongruence▾
Edexcel 1MA1 Congruence 8 questions
Paper 2 June 2024 Higher tier, Question 22 4 marks
A and B are points on a circle, centre O.
MAP and NBP are tangents to the circle. Prove that AP = BP
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Paper 3 November 2022 Higher tier, Question 20 3 marks
The diagram shows a triangle ADE.
AE = DE AB:BC:CD = 1: 2: 1 Prove that triangle ACE is congruent to triangle DBE.
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Paper 1 November 2020 Foundation tier, Question 23, also on the Higher paper 1 mark
The diagram shows four triangles.
Two of these triangles are congruent. Write down the letters of these two triangles.
Paper 1 November 2020 Higher tier, Question 4, also on the Foundation paper 1 mark
The diagram shows four triangles.
Two of these triangles are congruent. Write down the letters of these two triangles.
Paper 1 November 2019 Foundation tier, Question 29 4 marks
ABC and PQR are similar right-angled triangles.
angle ABC = angle PQR
(a)
[2]
Work out the length of PR.
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(b)
[2]
Triangle EGH is congruent to triangle KGF.
HK = 10 cm. HG = 4 cm.
Work out the length of EF.
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Paper 1 November 2019 Higher tier, Question 22 4 marks
Also involves Proof · Angle facts
A, B, C and D are four points on a circle.
AEC and DEB are straight lines.
Triangle AED is an equilateral triangle.
Prove that triangle ABC is congruent to triangle DCB.
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Paper 3 June 2018 Higher tier, Question 21 5 marks
Also involves Angle facts
ABCD is a parallelogram. ABP and QDC are straight lines. Angle ADP = angle CBQ = 90
(a)
[3]
Prove that triangle ADP is congruent to triangle CBQ.
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(b)
[2]
Explain why AQ is parallel to PC.
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