Reflections Flashcards

GCSE Mathematics (Edexcel) 1MA1

Reflection

A transformation that flips a shape over a line, creating a mirror image.

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Terms in this set (10)

1

Reflection

A transformation that flips a shape over a line, creating a mirror image.

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Line of reflection

The line over which a shape is reflected, acting as the mirror.

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Properties of reflection

The reflected shape is congruent to the original and has the same size and shape.

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Coordinates after reflection in x-axis

If a point (x, y) is reflected in the x-axis, its new coordinates are (x, -y).

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Coordinates after reflection in y-axis

If a point (x, y) is reflected in the y-axis, its new coordinates are (-x, y).

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Reflection in the line y = x

If a point (x, y) is reflected in the line y = x, its new coordinates are (y, x).

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Reflection in the line y = -x

If a point (x, y) is reflected in the line y = -x, its new coordinates are (-y, -x).

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Invariant points in reflection

Points that lie on the line of reflection remain unchanged after the reflection.

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How to describe a reflection

State that it is a reflection, specify the line of reflection (e.g., x-axis, y-axis, y = x).

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Effect of reflection on orientation

A reflection reverses the orientation of a shape (e.g., clockwise becomes anticlockwise).

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