contestada

Give the coordinates of the point obtained from each reflection.
(a) Reflect the point (5, 7) across the x-axis:
(b) Reflect the point (5,
7) across the y-axis:

Respuesta :

The coordinates of the point [tex]A(5,7)[/tex] will be [tex]A'(5,-7)[/tex] after reflecting accross the x-axis and the coordinates of the point [tex]A(5,7)[/tex] will be [tex]A''(-5,7)[/tex] after reflecting accross the y-axis.

How the coordinates of a point are changed in the reflection?

  • Reflection is a transformation that uses a line or an axis that acts as a mirror and reflects the original figure (preimage) to construct a new figure (image) in such a way that the distance of the preimage from the reflecting line will be the same as that of the distance of the image.
  • The coordinates of a point [tex]P(x,y)[/tex] will be [tex]P'(x,-y)[/tex] after reflection accross the x-axis whereas the coordinates of a point [tex]P(x,y)[/tex] will be [tex]P'(-x,y)[/tex] after reflection accross the y-axis.

Here, the given point is [tex]A(5,7)[/tex].

So, the coordinates of the point [tex]A(5,7)[/tex] will be [tex]A'(5,-7)[/tex] after reflecting accross the x-axis and  the coordinates of the point [tex]A(5,7)[/tex] will be [tex]A''(-5,7)[/tex] after reflecting accross the y-axis.

To learn more about reflection, refer: https://brainly.com/question/26642069

#SPJ9