AQA · Mathematics · 8300
GCSE Maths: Reflections: finding mirror line
Geometry & Measures · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise for Reflections: finding mirror line (Corbettmaths Video 274), 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 at an equal distance on the opposite side.
When reflecting a shape in a horizontal or vertical mirror line, each point of the reflected image is the same ? from the mirror line as the original point.
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perpendicular distance
When reflecting a shape in the x-axis, what happens to the coordinates (x, y)?
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The coordinates become (x, -y). The x-coordinate stays the same, and the y-coordinate changes sign.
When reflecting a shape in the y-axis, what happens to the coordinates (x, y)?
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The coordinates become (-x, y). The x-coordinate changes sign, and the y-coordinate stays the same.
A vertical mirror line on a coordinate grid has the equation x = ?.
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constant
A horizontal mirror line on a coordinate grid has the equation y = ?.
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constant
When reflecting a point (x, y) in the line y = x, what are the new coordinates?
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The coordinates become (y, x). The x and y coordinates are swapped.
When reflecting a point (x, y) in the line y = -x, what are the new coordinates?
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The coordinates become (-y, -x). The x and y coordinates are swapped and both change sign.
What information must you give to fully describe a reflection?
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You must specify that it is a reflection and give the equation of the mirror line.
When reflecting in a vertical line x = a, what happens to a point (x, y)?
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The new x-coordinate is 2a - x, and the y-coordinate stays the same: (2a - x, y).
When reflecting in a horizontal line y = b, what happens to a point (x, y)?
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The x-coordinate stays the same, and the new y-coordinate is 2b - y: (x, 2b - y).
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