In the standard (x,y) coordinate plane, point A has coordinates (–9,–1). Point A is translated 9 units to the right and 1 unit up, and that point is labeled A′. What are the coordinates of A′ ?
A.(-18,-2)
B.(-10,-10)
C.(-9,-2)
D.(0,0)
E.18,2)

Respuesta :

Translation involves changing the position of a point in the coordinate plane.

The coordinate of  the translated point A' is (D) (0,0)

The coordinate of the point is given as:

[tex]A = (-9,-1)[/tex]

The rule of translation 9 units right, and 1 unit up is:

[tex](x,y) \to (x+9,y+1)[/tex]

So, we have:

[tex]A' = (-9+9,-1+1)[/tex]

Simplify the expression

[tex]A' = (0,0)[/tex]

Hence, the coordinate of  the translated point A' is (D) (0,0)

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If the coordinate is translated 9 units right and 1 units up, the resulting coordinate will be at (-9 + 9, -1 + 1) which is A'(0, 0). Option D is correct

Given the coordinate point A (x, y),  if the coordinate is translated a unit right and b units up, the resulting coordinate will be at (x + a, y + b)

Note that both values are added to the coordinate points.

Given the coordinate point A (-9, -1), if the coordinate is translated 9 units right and 1 units up, the resulting coordinate will be at (-9 + 9, -1 + 1) which is A'(0, 0)

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