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Rectangle ABCD is reflected over the x-axis, followed by a reflection over the y-axis, and then rotated 180 degrees about the origin. What is the location of point A after the transformations are complete?

Rectangle ABCD is shown. A is at negative 5, 1. B is at negative 5, 3. C is at negative 1, 3. D is at negative 1, 1.

(−5, 1)
(5, −1)
(−5, −1)
(5, 1)

Rectangle ABCD is reflected over the xaxis followed by a reflection over the yaxis and then rotated 180 degrees about the origin What is the location of point A class=

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leeandrews2
It would be back where it started -5,1

brainliest is always appreciated 

Answer:

First option is correct. The location of point A after the transformations is (-5,1).

Step-by-step explanation:

It is given that the coordinates of point A are (-5,1).

Rectangle ABCD is reflected over the x-axis. then x-coordinate remains the same but the sign of y-coordinate is changed.

[tex](x,y)\rightarrow (x,-y)[/tex]

Coordinates of point A are

[tex](-5,1)\rightarrow (-5,-1)[/tex]

After that ABCD is reflected over the y-axis, then y-coordinate remains the same but the sign of x-coordinate is changed.

[tex](x,y)\rightarrow (-x,y)[/tex]

Coordinates of point A are

[tex](-5,-1)\rightarrow (5,-1)[/tex]

After that ABCD rotated 180 degrees about the origin, then the sign of both coordinates are changed.

[tex](x,y)\rightarrow (-x,-y)[/tex]

[tex](5,-1)\rightarrow (-5,1)[/tex]

Therefore option 1 is correct.

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