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Point S is reflected about the x-axis in the coordinate plane and then rotated 90°
counterclockwise about the origin to create Point
S'. Which relationship between S' and S must be true?

A. S’ is the same point as S.
B. S’ is S reflected about the y-axis.
C. S’ is S reflected about the line y= -x
D. S’ is the result of switching coordinates of S.

Sagot :

raphealnwobi

Answer:

D. S’ is the result of switching coordinates of S.

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Type of transformation are translation, reflection, rotation and dilation.

If a point A(x, y) is reflected along the x axis, the new point is A'(x, -y). If a point A(x, y) is rotated 90°  counterclockwise about the origin, the new point is A'(-y, x).

Let us assume that S is at (x, y). Hence, if point S is reflected about the x-axis in the coordinate plane to get (x, -y). If it is then rotated 90°  counterclockwise about the origin, the new point is at  S'(y, x). S’ is the result of switching coordinates of S

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