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Triangle A and triangle B are drawn on the coordinate grid - OCR - GCSE Maths - Question 8 - 2019 - Paper 4
Question 8
Triangle A and triangle B are drawn on the coordinate grid. (a) Describe fully the single transformation that maps triangle A onto triangle B. (b) Describe fully t... show full transcript
Worked Solution & Example Answer:Triangle A and triangle B are drawn on the coordinate grid - OCR - GCSE Maths - Question 8 - 2019 - Paper 4
Step 1
Describe fully the single transformation that maps triangle A onto triangle B.
Answer
To map triangle A onto triangle B, we can describe the transformation as a rotation. Specifically, triangle A can be rotated 180 degrees about the point (-1, 0). This transformation will correctly position triangle A to coincide with triangle B.
Step 2
Describe fully the single transformation that is equivalent to: a reflection in the line x = 3, followed by a translation by \( \begin{pmatrix} 4 \\ 0 \end{pmatrix} \)
Answer
The transformation can be broken down into two parts. First, we reflect the object in the line ( x = 3 ). This effectively flips the triangle over the vertical line at x = 3. Next, we perform a translation by the vector ( \begin{pmatrix} 4 \ 0 \end{pmatrix} ), which moves the triangle 4 units to the right. This combination of reflection followed by translation will provide the final transformed position of the triangle.