Similar Triangles – 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 GCSE Edexcel Higher: June 2017 Paper 2, Q5 B C B C ABC and DEA are straight lines. DC is parallel to EB. AC = 7.8 cm AB = 5.2 cm EB = 3.2 cm (a) Work out the length of DC. ABC and DEA are straight lines. DC is parallel to EB. AC = 7.8 cm AB = 5.2 cm EB = 3.2 cm (a) Work out the length of DC. cm cm (2) (2) AD = 6.36 cm (b) Work out the length of ED. AD = 6.36 cm (b) Work out the length of ED. cm cm (2) (2) (Total for Question 1 is 4 marks) (Total for Question 1 is 4 marks)

GCSE Edexcel Higher: November 2017 Paper 1, Q22 The two triangles in the diagram are similar. C x cm. B 8cm. D 3 cm. E 12 cm. A There are two possible values of x. Work out each of these values. State any assumptions you make in your working. (Total for Question 1 is 5 marks)

GCSE GCSE Edexcel Higher: June 2017 Paper 2, Q15 A, B, C and D are four points on the circumference of a circle. 1 A, B, C and D are four points on the circumference of a circle. C C D D E E B B A 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. 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) (Total for Question 1 is 3 marks)

GCSE Edexcel Higher: June 2017 Paper 2, Q5 B C ABC and DEA are straight lines. DC is parallel to EB. AC = 7.8 cm AB = 5.2 cm EB = 3.2 cm (a) Work out the length of DC. cm (2) AD = 6.36 cm (b) Work out the length of ED. cm (2) (Total for Question 1 is 4 marks)

GCSE Edexcel Higher: November 2017 Paper 1, Q22 The two triangles in the diagram are similar. C x cm. B 8cm. D 3 cm. E 12 cm. A There are two possible values of x. Work out each of these values. State any assumptions you make in your working. (Total for Question 1 is 5 marks)

GCSE Edexcel Higher: June 2017 Paper 2, Q15 A, B, C and D are four points on the circumference of a circle. C D E B 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)

Calculate scale factor: GCSE Edexcel Higher: June 2017 Paper 2, Q5 D 1 E x 3.2 5.2 A B C 7.8 ABC and DEA are straight lines. DC is parallel to EB. AC = 7.8 cm AB = 5.2 cm EB = 3.2 cm (a) Work out the length of DC. Calculate scale factor: 7.8 ÷ 5.2 = 1.5 3.2 x 1.5 = x = 4.8 4.8 cm (2) AD = 6.36 cm (b) Work out the length of ED. 6.36 y 4.16 6.36 ÷ 1.5 = 4.24 2.12 y = 6.36 - 4.24 = 2.12 cm (2) (Total for Question 1 is 4 marks)

AD = AE x SF or AD = AB x SF GCSE = 15 cm SF = Scale Factor Edexcel Higher: November 2017 Paper 1, Q22 1 The two triangles in the diagram are similar. C x cm. B 8cm. D 3 cm. = 15 cm E 12 cm. A There are two possible values of x. Work out each of these values. State any assumptions you make in your working. SF = Scale Factor AD = AE x SF or AD = AB x SF 15 = 12 x SF SF = 15 12 = 5 4 AC = 8 x 5 4 = 40 4 = 10 x = CB = 10 – 8 = 2cm 15 = 8 x S.F. S.F. = 15 8 AC = 12 x 15 8 = 3 x 15 2 = 45 2 = 22.5cm x = 22.5 − 8 = 14.5cm (Total for Question 1 is 5 marks)

< < BEA = CED < < ACD = ABD < < BAC = BDC GCSE X Y X Edexcel Higher: June 2017 Paper 2, Q15 1 A, B, C and D are four points on the circumference of a circle. X C 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. < < Vertically opposite angles are equal. BEA = CED < < ACD = ABD Angles in the same segment are equal < < BAC = BDC All angles are the same, so the two triangles are similar (Total for Question 1 is 3 marks)

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