Shape A is reflected in the line with equation $x = 2$ to give shape B - Edexcel - GCSE Maths - Question 18 - 2022 - Paper 3
Question 18
Shape A is reflected in the line with equation $x = 2$ to give shape B.
Shape B is reflected in the line with equation $x = 6$ to give shape C.
Describe fully the s... show full transcript
Worked Solution & Example Answer:Shape A is reflected in the line with equation $x = 2$ to give shape B - Edexcel - GCSE Maths - Question 18 - 2022 - Paper 3
Step 1
Shape A is reflected in the line with equation $x = 2$
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Answer
When shape A is reflected in the line x=2, every point of shape A is moved to the opposite side of the line, maintaining the same distance from the line. This transformation results in shape B.
Step 2
Shape B is reflected in the line with equation $x = 6$
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Answer
Subsequently, shape B is reflected in the line x=6. Similarly, every point of shape B moves to the opposite side of the line while staying equidistant from it, resulting in shape C.
Step 3
Describe fully the single transformation that maps shape A onto shape C.
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Answer
To describe the single transformation that maps shape A onto shape C, we can consider the overall transformation effect. The transformation can be viewed as a cumulative reflection. First, we reflect shape A across the line x=2, and then we reflect the resulting shape B across the line x=6. This can also be interpreted as a single reflection through a line that is equidistant from both lines (effectively translating the reflection points). The result can be described as a single reflection through an effective line x=4 (the midpoint between x=2 and x=6) which directly maps shape A to shape C.