Tangram and Coordinates

Tópico:Coordenadas, Geometria, Retas, Transformações Geométricas

The big square made with the Tangram pieces is now inside a Cartesian coordinate system. The vertices of the square are

and

. You can move the square without changing its size by dragging its sides, or you can change its size by dragging the vertices

and

If and , what is the equation of line ?

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If we translate the square 1 unit up, what is the equation of line ?

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If and , what is the equation of line ?

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Considering what you have discovered by answering the previous questions, what can you say about: - how does the equation of line change when the square is translated - how does the equation of line change when the square is dilated/compressed (no rotation)?

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A
The equation remains the same, regardless the square is translated or dilated/compressed
B
If the square is translated, a translation of the same vector is applied also to the equation of the line, whereas if the square is dilated/compressed, the equation of the line remains the same
C
If the square is translated, a translation of the same vector is applied also to the equation of the line, whereas if the square is dilated/compressed, the term in the line equation is multiplied by the dilation/compression factor