Circle Theorems Angles at the Circumference Higher GCSE

Circle Theorems – Angles at the Circumference – Higher – GCSE Questions These questions are the same format as previous GCSE exams. COPY means they use the exact same numbers as the original GCSE question. Otherwise, they are clone questions using different numbers. The worksheets are provided in a variety of sizes.

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GCSE 1 Edexcel Higher: June 2017 Paper 2, Q 15 A, B, C and D are four points on the circumference of a circle. C B GCSE 1 Edexcel Higher: June 2017 Paper 2, Q 15 A, B, C and D are four points on the circumference of a circle. C D E B A D E A AEC and DEB are straight lines. Prove that triangle CED and triangle ABE are similar. You must give reasons for each stage of your working. (Total for Question 1 is 3 marks)

GCSE 1 Edexcel Higher: November 2017 Paper 3, Q 20 GCSE 1 C Edexcel Higher: November 2017 Paper 3, Q 20 C B B O O A A A, B and C are points on the circumference of a circle, centre O. AOC is a diameter of the circle. Prove that angle ABC is 90°. You must not use any circle theorems in your proof. (Total for Question 1 is 4 marks)

GCSE 1 Edexcel Higher: June 2017 Paper 2, Q 15 A, B, C and D are four points on the circumference of a circle. C B D E A AEC and DEB are straight lines. Prove that triangle CED and triangle ABE are similar. You must give reasons for each stage of your working. (Total for Question 1 is 3 marks)

GCSE 1 Edexcel Higher: November 2017 Paper 3, Q 20 C B O A A, B and C are points on the circumference of a circle, centre O. AOC is a diameter of the circle. Prove that angle ABC is 90°. You must not use any circle theorems in your proof. (Total for Question 1 is 4 marks)

GCSE 1 Edexcel Higher: June 2017 Paper 2, Q 15 A, B, C and D are four points on the circumference of a circle. C X Y D E B X Y A AEC and DEB are straight lines. Prove that triangle CED and triangle ABE are similar. You must give reasons for each stage of your working. < < BEA = CED Vertically opposite angles are equal. ACD = ABD Angles in the same segment < < BAC = BDC are equal All angles are the same, so the two triangles are similar (Total for Question 1 is 3 marks)

GCSE Edexcel Higher: November 2017 Paper 3, Q 20 1 C b y O b x C B a a a B b O b a A A A, B and C are points on the circumference of a circle, centre O. AOC is a diameter of the circle. Prove that angle ABC is 90°. You must not use any circle theorems in your proof. < < AOB = x AOC = y Angles at base of isosceles triangle are equal. Angles at the base of an isosceles triangle are equal. < Interior angles of a triangle total 180° a + b + b = 180° < 2 a + 2 b = 180° < a + b = 90° Therefore, angle ABC = 90° Angles on a straight line total 180°. < (Total for Question 1 is 4 marks)

Questions? Comments? Suggestions? …or have you found a mistake!? Any feedback would be appreciated . Please feel free to email: tom@goteachmaths. co. uk