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Sagot :
The coordinates of the triangle XYZ are:
X(3,3)
Y(4,1)
Z(1,1)
The translation to perform is (x-4) and (y+2)
Translations are rigid transformations of a figure, this means that the triangle will move but won't change its shape or size.
A translation over the x axis results in a horizontal movement.
If you subtract a factor k x-coordinate, the movement will be to the left.
If you add the factor k x-coordinate, the movement will be to the rigth.
In this example the translation over the x-coordinate is (x-4) → 4 unit are being subtracted to the x-coordinate of each point, this results in a horizontal movement 4 units to the left
A translation over the y axis results in a vertical movement.
If you subtract a factor m from the y-coordinate, the movement will be downwards.
If you add the factor m from the y-coordinate, the movement will be upwards
In this example the translation over the y-coordinate is (y+2)→ 2 units were added to the y-coordinate, this results in a vertical movement 2 units up.
Paul moved the triangle 4 units down and 2 units right, he performed the wrong translation.
THe triangle was moved "left" and "up", the translation will be located in the second quadrant
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