AQA · Mathematics · 8300
GCSE Maths: Reflections
Geometry & Measures · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise for Reflections (Corbettmaths Video 272), and every card links back to the exact page it came from. Practice tests are drawn from this deck’s own cards. Source material © Corbettmaths — used with attribution.
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What is a reflection in geometry?
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A transformation that flips a shape over a mirror line, producing a mirror image.
In a reflection, what is the relationship between a point and its image with respect to the mirror line?
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They are equidistant from the mirror line, and the line connecting them is perpendicular to the mirror line.
When reflecting a shape in the x-axis, the ? of all points change sign while x-coordinates remain the same.
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y-coordinates
When reflecting a shape in the y-axis, the ? of all points change sign while y-coordinates remain the same.
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x-coordinates
What equation describes the line of reflection when reflecting in a vertical line through x = k?
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x = k (a vertical line passing through the point where x equals k).
What happens to the coordinates (x, y) when a point is reflected in the line y = x?
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The coordinates swap: (x, y) becomes (y, x).
What happens to the coordinates (x, y) when a point is reflected in the line y = -x?
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The coordinates swap and change sign: (x, y) becomes (-y, -x).
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