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Triangle A and triangle B are drawn on the coordinate grid - OCR - GCSE Maths - Question 4 - 2021 - Paper 1

Question 4

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 tri... show full transcript

Worked Solution & Example Answer:Triangle A and triangle B are drawn on the coordinate grid - OCR - GCSE Maths - Question 4 - 2021 - Paper 1

Step 1

Reflect triangle A in the line $x = 0$

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Answer

To reflect triangle A in the line $x = 0$ , we change the x-coordinates of all vertices of triangle A to their negatives. If triangle A has vertices at coordinates $(x_1, y_1)$ , $(x_2, y_2)$ , and $(x_3, y_3)$ , the reflected triangle A' will have vertices at $(-x_1, y_1)$ , $(-x_2, y_2)$ , and $(-x_3, y_3)$ .

Step 2

Describe fully the single transformation that maps triangle A onto triangle B

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Answer

The transformation that maps triangle A onto triangle B involves a reflection in the line $x = 0$ followed by a translation downwards. This translation moves the reflected triangle down to align exactly with triangle B. The specific translation can be described as moving each vertex downwards by a certain amount, depending on their alignment with triangle B after reflection.

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