Complex Numbers and Transformations (Leaving Cert Mathematics): Flashcards
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Practise the cards
14 cards from this deck
Scaling transformation of complex numbers
Scaling transformation of complex numbers
Multiply by a real number
Formula: in terms of
Formula: in terms of
Effect on modulus when
Effect on modulus when
Modulus doubles
Effect on modulus when
Effect on modulus when
Modulus halves
Translation transformation
Translation transformation
Add same complex number to all points
What translation preserves
What translation preserves
Shape and size, only position changes
Result of
Result of
Rotates by 90° anticlockwise
Result of
Result of
Rotates by 180°
Result of
Result of
Rotates by 270° anticlockwise
Value of
Value of
Value of
Value of
Value of
Value of
What scaling preserves
What scaling preserves
Direction from origin
How translation moves all points
How translation moves all points
Same distance in same direction