4MA1/1F Jan 2021, Question 14: Describing Transformations
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1F (Foundation) · Calculator · 5 marks
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The question, in short
Using the grid with shapes A, B and C, describe the single transformation mapping A to B and the single transformation mapping B to C.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Part (a) · 2 marks
Describe fully the single transformation that takes shape A onto shape B.
- 1A and B are the same shape, flipped left to right: a reflection
- 2Matching corners: (−5, 3) ↔ (7, 3) and (−3, 3) ↔ (5, 3)
- 3Midpoint of each pair has x = 1, so the mirror line is x = 1
- 4Reflection in the line x = 1
AnswerReflection in the line x = 1
Part (b) · 3 marks
Describe fully the single transformation that takes shape B onto shape C.
- 1B and C are the same size and C is turned a quarter turn: a rotation
- 2Each corner (x, y) of B maps to (y, −x) on C, e.g. (5, 3) → (3, −5)
- 3(x, y) → (y, −x) is 90° clockwise about the origin
- 4Rotation 90° clockwise about the origin (0, 0)
AnswerRotation 90° clockwise about the origin (0,0)
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