Respuesta :

Answer:

A) X = -5,  Y = 1

B) X = -2, Y = 4

C) X = -5 , Y = 4  

Step-by-step explanation:

The reflection over an x-axis means the values associated with the x remains same while y-axis variable change their sign.  

The three co-ordinates of this figure are  

A) X = -5,  Y = -1

B) X = -2, Y = -4

C) X = -5 , Y = -4  

Now going by the above rule to determine the co-ordinates when the image is reflected over x-axis, the new co-ordinates are:

A) X = -5,  Y = 1

B) X = -2, Y = 4

C) X = -5 , Y = 4  

Step-by-step explanation:

Please find the attachment.  

We have been given an image on coordinate plane and we are asked to reflect our given image over the x-axis.

The rule for reflection for an image over x axis is: [tex](x,y)\rightarrow(x,-y)[/tex]. This means that after reflection about x axis, x coordinates remain same but y-coordinates are transformed into their opposite sign.

Let us give names to vertices of our pre-image. A(-5,-1), B(-5,-4) and C(-2,-4).

When we will reflect our pre-image (ABC) about x-axis, x coordinates will remain same, so x coordinates will remain negative.

Since y-coordinates will change into their opposite sign, so coordinates of y will be positive for our image as y-coordinates of pre-image are negative.

A                    A'

(-5,-1)            (-5,1)

B                    B'

(-5,-4)           (-5,4)

C                    C'

(-2,-4)            (-2,4)  

Therefore, coordinates of our image A'B'C' will be: A'(-5,1), B'(-5,4) and C'(-2,4).


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