Lesson 9 · Transformation Using Matrix

Combined Transformation of Two Identical Transformation Presentation

Optional MathematicsSubject
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Optional Mathematics, Class 10: Transformation

Combined Transformation of Two Identical Transformation

Two moves · One single move

By the end of this lesson you can

🪞

Turn two reflections into one rotation or one translation

🔄

Add two rotations about the same centre

➡️

Add two translation vectors

🔍

Multiply the scale factors of two enlargements

Definition
What is a combined transformation?
FIRST
r1 moves the object from A to A'
SECOND
r2 moves A' to A''
SINGLE
One transformation moves A straight to A''

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Presenter notes: Today we take two transformations of the same kind, do them one after the other, and find the one transformation that does both jobs at once.