1. Congruent 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.

2. Printing To print handouts from slides -
Select the slide from the left. Then click:
File > Print > ‘Print Current Slide’
To print multiple slides -
Click on a section title to highlight all those slides,
or press ‘Ctrl’ at the same time as selecting slides to
highlight more than one. Then click:
File > Print > ‘Print Selection’
To print double-sided handouts -
Highlight both slides before using ‘Print Selection’.
Choose ‘Print on Both Sides’ and ‘Flip on Short Edge’.

3. GCSE GCSE GCSE GCSE Edexcel Higher: May 2017 Paper 1, 21
ABCD is a quadrilateral. 1
ABCD is a quadrilateral. D C D C
DA = CB
Angle DAB = angle ABC
Prove that AC = DB. A B
DA = CB
Angle DAB = angle ABC
Prove that AC = DB. A B
(Total for Question 1 is 4 marks)
(Total for Question 1 is 4 marks)
GCSE
GCSE
Edexcel Higher: May 2017 Paper 1, 21
Edexcel Higher: May 2017 Paper 1, 21 1
ABCD is a quadrilateral. 1
ABCD is a quadrilateral. D C D C
DA = CB
Angle DAB = angle ABC
Prove that AC = DB. A B
DA = CB
Angle DAB = angle ABC
Prove that AC = DB. A B
(Total for Question 1 is 4 marks)
(Total for Question 1 is 4 marks)

5. GCSE GCSE Edexcel Higher: June 2018 Paper 3, Q21B S 1 A B S T C D T C D
ABCD is a parallelogram.
ABS and TCD are straight lines.
Angle TBD = angle ACS = 90°
(a) Prove that triangle TBD is congruent to triangle ACS.
ABCD is a parallelogram.
ABS and TCD are straight lines.
Angle TBD = angle ACS = 90°
(a) Prove that triangle TBD is congruent to triangle ACS.
(3)
(3)
(b) Explain why AT is parallel to SD.
(b) Explain why AT is parallel to SD.
(2)
(2)
(Total for Question 1 is 5 marks)
(Total for Question 1 is 5 marks)

7. GCSE Edexcel Higher: May 2017 Paper 1, 21
ABCD is a quadrilateral. D C
DA = CB
Angle DAB = angle ABC
Prove that AC = DB. A B
(Total for Question 1 is 4 marks)

8. GCSE Edexcel Higher: June 2018 Paper 3, Q21 1 A B S T C D
ABCD is a parallelogram.
ABS and TCD are straight lines.
Angle TBD = angle ACS = 90°
(a) Prove that triangle TBD is congruent to triangle ACS.
(3)
(b) Explain why AT is parallel to SD.
(2)
(Total for Question 1 is 5 marks)

9. GCSE Prove 2 triangles DAB, ABC are congruent. Angle DAB = angle ABC
Edexcel Higher: May 2017 Paper 1, 21 1
ABCD is a quadrilateral. D C
DA = CB
Angle DAB = angle ABC
Prove that AC = DB. A B
Prove 2 triangles DAB, ABC are congruent.
Angle DAB = angle ABC
(ANGLE)
DA = CB
(SIDE)
AB is shared by both triangles.
(SIDE)
Both triangles are congruent (SAS).
So, AC must = DB
(Total for Question 1 is 4 marks)

10. GCSE Angle TBD = Angle ACS (given)
Edexcel Higher: June 2018 Paper 3, Q21 1 A B S T C D
ABCD is a parallelogram.
ABS and TCD are straight lines.
Angle TBD = angle ACS = 90°
(a) Prove that triangle TBD is congruent to triangle ACS.
Angle TBD = Angle ACS (given)
AC = BD (opposite sides of parallelogram are equal)
Angle TDB = Angle SAC (opposite angles of a
parallelogram are equal)
Therefore,
triangles have angle-side-angle the same,
ASA: they are congruent
(3)
(b) Explain why AT is parallel to SD.
TBD is congruent to ACS, so AS = TD
AS & TD are parallel
ASDT is therefore a parallelogram.
Opposite sides of a parallelogram are parallel.
(2)
(Total for Question 1 is 5 marks)

11. tom@goteachmaths.co.uk Questions? Comments? Suggestions?
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