1. Translations
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Add or subtract the necessary values to the x- and y-coordinates to find the new points.
Let's begin by identifying the vertices of the given polygon.
T_(⟨ 5, - 1⟩)(x,y) This means we should add 5 to each x-coordinate and subtract 1 to each y-coordinate of all of the vertices.
(x,y) | (x+ 5,y- 1) | (x',y') |
---|---|---|
(- 1,2) | (- 1+ 5,2- 1) | (4,1) |
(5,- 1) | (5+ 5,- 1- 1) | (10,- 2) |
(2,- 4) | (2+ 5,- 4- 1) | (7,- 5) |
(- 4,- 1) | (- 4+ 5,- 1- 1) | (1,- 2) |
With these points, we are able to draw transformed polygon.