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Georgia [21]
3 years ago
15

What are the coordinates of the image of vertex F after a reflection across the line y= -x

Mathematics
2 answers:
julia-pushkina [17]3 years ago
9 0
(3,-1)

y = -x reflection means the x and y values are flipped and are negated.
diamong [38]3 years ago
4 0

Answer:

B. (3,-1)

Step-by-step explanation:

We have been given an image of a quadrilateral. We are asked to find the coordinates of the image of vertex F after a reflection across the line y=-x.    

We know that rule of reflection across the line y=-x is (x,y)\rightarrow(-y,-x).

We can see that coordinates of point F are (1,-3).

After reflecting point F across the line y=-x, the x- and y-coordinates will interchange their place and their signs will be changed as well.

(1,-3)\rightarrow(--3,-1)=(3,-1)

Therefore, the coordinates of the image of vertex F after a reflection across the line y=-x are (3,-1) and option B is the correct choice.

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<u>Make the coefficient of "y" in equation 1 same</u>

{ 5x + 3y = 41 } * 2     →  10x + 6y = 82  ........equation 1

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     ============

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