The diagram shows triangle A drawn on a grid - Edexcel - GCSE Maths - Question 9 - 2017 - Paper 2
Question 9
The diagram shows triangle A drawn on a grid.
Kyle reflects triangle A in the x-axis to get triangle B.
He then reflects triangle B in the line ๐ฆ = ๐ฅ to get trian... show full transcript
Worked Solution & Example Answer:The diagram shows triangle A drawn on a grid - Edexcel - GCSE Maths - Question 9 - 2017 - Paper 2
Step 1
Kyle reflects triangle A in the x-axis to get triangle B.
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Answer
To perform this reflection, each point of triangle A will have its y-coordinate negated. For instance, if point A is at (x, y), then reflection in the x-axis results in point B at (x, -y).
Step 2
He then reflects triangle B in the line ๐ฆ = ๐ฅ to get triangle C.
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Answer
For the reflection in the line ๐ฆ = ๐ฅ, we swap the x and y coordinates of each vertex of triangle B. Thus, if triangle B has a vertex at (x, -y), it will move to (-y, x). The result will be triangle C.
Step 3
Is Amy correct?
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Answer
Amy first reflects triangle A in the line ๐ฆ = ๐ฅ, which generates a triangle D at the positions where the vertices of A are swapped. Next, when she reflects triangle D in the x-axis, it will result in triangle E; however, triangle E will not be in the same position as triangle C as they follow different transformations. Therefore, Amy is not correct.
