Lesson 9 · Transformation Using Matrix

Translation of Geometrical Shapes Presentation

Optional MathematicsSubject
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Optional Mathematics, Class 10, Lesson 9

Translation of Geometrical Shapes

Translation vector · P(x, y) goes to P'(x + a, y + b)

By the end of this lesson you can

➡️

Say what a translation is

🧭

Write a translation vector with the right signs

📍

Find the image of a point or a shape

🔍

Find the vector from an object and its image

📐

Draw a translated shape with a set square

A walk on the grid
From A(1, 2) to A'(7, 6)
START
The man stands at A(1, 2)
RIGHT
He walks 6 units right to (7, 2)
UP
He walks 4 units up
ARRIVE
He reaches A'(7, 6); the move is (6, 4)

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Presenter notes: Today we learn the simplest transformation of all. A shape slides to a new place, and one small rule tells us exactly where every point lands.