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Two shapes are drawn on the grid below - OCR - GCSE Maths - Question 9 - 2018 - Paper 1
Question 9
Two shapes are drawn on the grid below. Describe fully the single transformation which maps shape P onto shape Q.
Worked Solution & Example Answer:Two shapes are drawn on the grid below - OCR - GCSE Maths - Question 9 - 2018 - Paper 1
Step 1
Describe fully the single transformation which maps shape P onto shape Q.
Answer
The transformation that maps shape P onto shape Q is an enlargement. The scale factor (SF) of the enlargement is 2, which means that every point of shape P is moved away from the center of enlargement by a factor of 2.
The center of enlargement is at the origin (0, 0). This means that for any point (x, y) in shape P, it is mapped to a new point (2x, 2y) in shape Q, effectively doubling the distance of each point from the origin.