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Triangle A and triangle B are drawn on the coordinate grid - OCR - GCSE Maths - Question 16 - 2021 - Paper 3
Question 16
Triangle A and triangle B are drawn on the coordinate grid. (a) Reflect triangle A in the line $x = 0$. (b) Describe fully the single transformation that maps tria... show full transcript
Worked Solution & Example Answer:Triangle A and triangle B are drawn on the coordinate grid - OCR - GCSE Maths - Question 16 - 2021 - Paper 3
Step 1
Reflect triangle A in the line $x = 0$
Answer
To reflect triangle A across the line , you take each vertex of triangle A and find its corresponding point on the opposite side of the line. For example, if a vertex is at , its reflection will be at . Applying this transformation to all vertices of triangle A will provide the reflected triangle A in the third quadrant.
Step 2
Describe fully the single transformation that maps triangle A onto triangle B
Answer
The transformation that maps triangle A onto triangle B consists of a translation followed by a reflection. Specifically, triangle A is translated downwards to align perfectly with the origin, resulting in triangle B being positioned in the fourth quadrant. The coordinates of triangle A will be shifted downward by a certain distance reflecting the change in the vertical position, ultimately ensuring that the orientation remains consistent with the downward placement of triangle B.