AQA · Mathematics · 8300
GCSE Maths: Reflections: describing
Geometry & Measures · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise for Reflections: describing (Corbettmaths Video 273), 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, creating a mirror image.
In a reflection, the distance from each point to the mirror line equals the distance from the ? to the mirror line.
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corresponding reflected point
When reflecting a shape in the x-axis, what happens to the coordinates?
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The x-coordinate stays the same, and the y-coordinate changes sign. (x, y) becomes (x, -y).
When reflecting a shape in the y-axis, what happens to the coordinates?
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The y-coordinate stays the same, and the x-coordinate changes sign. (x, y) becomes (-x, y).
A vertical line of reflection has the equation x = ? for some constant k.
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k
A horizontal line of reflection has the equation y = ? for some constant k.
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k
When reflecting a point in the line y = x, what happens to the coordinates?
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The x and y coordinates are swapped. (x, y) becomes (y, x).
When reflecting a point in the line y = -x, what happens to the coordinates?
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The coordinates are swapped and both change sign. (x, y) becomes (-y, -x).
What information must you provide to fully describe a reflection?
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The equation or position of the mirror line (line of reflection).
How do you find the mirror line between an original shape and its reflection?
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The mirror line is perpendicular to and bisects the line segments joining corresponding points on the original and reflected shapes.
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