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Consider the figure at the right. If ️XYZ is translated using the vector (x,y) --> (x-3,y+3) , then rotated 180 degrees about the origin, what will be the x-coordinate of Z'?

Consider the figure at the right If XYZ is translated using the vector xy gt x3y3 then rotated 180 degrees about the origin what will be the xcoordinate of Z class=

Respuesta :

Given coordinate of Z of the given figure (-1,-1).

First triangle XYZ is being translated by the rule (x,y) --> (x-3, y+3).

On applying that rule, the new coordinates of Z would be

(-1,-1)  ---->  (-1-3 , -1+3) = (-4, 2).

Now, we need to apply rotation 180 degrees about the origin.

The rule for rotation 180 degrees about the origin is (x,y) --> (-x,-y).

Therefore, final coordinate of Z after rotation 180 degrees about the origin would be

(-4, 2) ---> (4, -2).

Therefore, (4, -2) be the x-coordinate of Z'.

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