EDEXCEL GCSE MATHS · FOUNDATION & HIGHER
Exam Practice: Reflection and Rotation
Reflection and rotation · Transformations and constructions · Lesson 2 of 8 · 16 marks · 25 minutes
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Instructions
• Answer all the questions.
• Write your answers in the spaces provided.
• The marks for each question are shown in brackets - use this as a guide to how much to write.
• The answers are on separate pages at the back. Attempt every question before you look at them.
• Answer all questions. Show your working.
Question 1 NON-CALCULATOR (2 marks)
Triangle A has vertices (1, 1), (1, 3) and (3, 1). It is reflected in the y-axis. Write down the coordinates of the vertices of the image.
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(Total for Question 1 = 2 marks)
Question 2 NON-CALCULATOR (3 marks)
Triangle A has vertices (1, 1), (1, 3) and (3, 1). Triangle B has vertices (−1, −1), (−1, −3) and (−3, −1). Describe fully the single transformation that maps triangle A onto triangle B.
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(Total for Question 2 = 3 marks)
Question 3 NON-CALCULATOR (3 marks)
The diagram shows triangles P and Q on a grid. Describe fully the single transformation that maps triangle P onto triangle Q.
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(Total for Question 3 = 3 marks)
Question 4 NON-CALCULATOR (2 marks)
The point (2, 5) is reflected in the line y = x. Write down the coordinates of the image.
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(Total for Question 4 = 2 marks)
Question 5 NON-CALCULATOR (3 marks)
The point P(3, 1) is rotated 90° anticlockwise about the origin. Write down the coordinates of the image of P.
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(Total for Question 5 = 3 marks)
Question 6 NON-CALCULATOR (3 marks)
The point P(4, 2) is rotated 90° clockwise about the point C(2, 1). Find the coordinates of the image of P.
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(Total for Question 6 = 3 marks)
TOTAL FOR PAPER = 16 MARKS
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Answers and mark scheme
Check your answer only once you have written one.
Question 1 (2 marks)
(−1, 1), (−1, 3) and (−3, 1).
• Two vertices correct B1
• All three correct B1
Question 2 (3 marks)
A rotation of 180° about the centre (0, 0).
• Rotation B1
• 180° B1
• Centre (0, 0) B1
Question 3 (3 marks)
A reflection in the line x = 4.
• Reflection B1
• The line x = 4 B2
Question 4 (2 marks)
(5, 2).
• One coordinate correct M1
• (5, 2) A1
Question 5 (3 marks)
The rule is (x, y) → (−y, x), so the image is (−1, 3).
• A correct rotation method M1
• One coordinate correct A1
• (−1, 3) A1
Question 6 (3 marks)
P is 2 to the right and 1 above C. After a 90° clockwise turn, the vector (2, 1) becomes (1, −2). The image is (2 + 1, 1 − 2) = (3, −1).
• Vector from C to P is (2, 1) M1
• Rotated vector (1, −2) M1
• (3, −1) A1